Superconductivity And Topological Properties In A Topological Semimetal

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Superconductivity and Topological Properties in a Topological Semimetal

Author : K A M Hasan Siddiquee
Publisher :
ISBN 13 :
Total Pages : 75 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Superconductivity and Topological Properties in a Topological Semimetal by : K A M Hasan Siddiquee

Download or read book Superconductivity and Topological Properties in a Topological Semimetal written by K A M Hasan Siddiquee and published by . This book was released on 2021 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological superconductors (TSCs) in which superconductivity and topological properties are combined are characterized by topologically protected gapless states in the superconducting gaps. Realized in the gapless states of TSCs, Majorana fermions, which are particles and their own antiparticles, have crucial importance in quantum computation and spintronic device applications because of the exotic nature. Despite extensive study for the confirmation of TSCs, the observation of Majorana fermions in bulk superconductors has not been settled yet. Recently, the binary stannide semimetal CaSn3 with a cubic structure has been proposed to be a promising candidate for realizing topological superconductivity. In this dissertation, to clarify whether CaSn3 is a TSC or not, we investigated the superconducting and normal states of CaSn3, based on two criteria proposed by Fu and Berg. In a detailed study of the superconducting state of CaSn3, we find that the anisotropy of the upper critical field shows two-fold symmetry about a C4 axis which can be ascribed to an unconventional pairing state associated with nematic superconductivity. Besides the anisotropy, the temperature dependence of upper critical fields strongly deviates from that of the conventional depairing field described by Werthamer-Helfand-Hohenberg theory, consistent with odd-parity pairing. The possible odd-parity nematic superconducting state in CaSn3, together with a fully-gapped state suggested by Muon spin rotation measurements, meets one of the proposed prerequisites for topological superconductivity. We also present a detailed study of de Haas van Alphen quantum oscillations in a single crystal of CaSn3 with torque magnetometry. In conjunction with density functional theory-based calculations, the observed quantum oscillation frequencies indicate that the Fermi surfaces of CaSn3 enclose an odd number of time-reversal-invariant momenta, satisfying one of the other proposed criteria to realize topological superconductivity. Our findings will provide a new insight to identify topological superconductivity in quantum materials.

Topological Insulator and Related Topics

Author :
Publisher : Academic Press
ISBN 13 : 0323915108
Total Pages : 240 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Topological Insulator and Related Topics by :

Download or read book Topological Insulator and Related Topics written by and published by Academic Press. This book was released on 2021-09-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Insulator and Related Topics, Volume 108 in the Semiconductors and Semimental series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Majorana modes at the ends of one dimensional topological superconductors, Optical/electronic properties of Weyl semimetals, High magnetic fields to unveil the electronic structure, magnetic field-induced transitions, and unconventional transport properties of topological semimetals, New aspects of strongly correlated superconductivity in the nearly flat-band regime, Anomalous transport properties in topological semimetals, Pseudo-gauge field and piezo-electromagnetic response in topological materials, Topological Gapped States Protected by Spatial Symmetries, and more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Semiconductors and Semimetals series Updated release includes the latest information on Topological Insulator and Related Topics

Advanced Topological Insulators

Author : Huixia Luo
Publisher : John Wiley & Sons
ISBN 13 : 1119407338
Total Pages : 431 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Advanced Topological Insulators by : Huixia Luo

Download or read book Advanced Topological Insulators written by Huixia Luo and published by John Wiley & Sons. This book was released on 2019-03-12 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for researchers and graduate students preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with the fundamental description on the topological phases of matter such as one, two- and three-dimensional topological insulators, and methods and tools for topological material's investigations, topological insulators for advanced optoelectronic devices, topological superconductors, saturable absorber and in plasmonic devices. Advanced Topological Insulators provides researchers and graduate students with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.

Topological Insulators and Topological Superconductors

Author : B. Andrei Bernevig
Publisher : Princeton University Press
ISBN 13 : 1400846730
Total Pages : 264 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topological Insulators and Topological Superconductors by : B. Andrei Bernevig

Download or read book Topological Insulators and Topological Superconductors written by B. Andrei Bernevig and published by Princeton University Press. This book was released on 2013-04-07 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for graduate students and researchers preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with simple concepts such as Berry phases, Dirac fermions, Hall conductance and its link to topology, and the Hofstadter problem of lattice electrons in a magnetic field. It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires. Additionally, the book covers zero modes on vortices in topological superconductors, time-reversal topological superconductors, and topological responses/field theory and topological indices. The book also analyzes recent topics in condensed matter theory and concludes by surveying active subfields of research such as insulators with point-group symmetries and the stability of topological semimetals. Problems at the end of each chapter offer opportunities to test knowledge and engage with frontier research issues. Topological Insulators and Topological Superconductors will provide graduate students and researchers with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.

Topological Semimetals and Nodal Superconductors

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)

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Book Synopsis Topological Semimetals and Nodal Superconductors by :

Download or read book Topological Semimetals and Nodal Superconductors written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Search for Topological Semimetal and Topological Superconductor Candidates

Author : Evdoxia Emmanouilidou
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (119 download)

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Book Synopsis Search for Topological Semimetal and Topological Superconductor Candidates by : Evdoxia Emmanouilidou

Download or read book Search for Topological Semimetal and Topological Superconductor Candidates written by Evdoxia Emmanouilidou and published by . This book was released on 2020 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discoveries of the two-dimensional quantum Hall effect, the quantum spin Hall effect, and three-dimensional topological insulators started a new era in solid-state physics. Topology soon became a word in most solid-state physicists' vocabulary. A topological phase of matter is characterized by a nonzero topological invariant, which is determined by the bulk electronic wavefunctions of a material. The conventional insulators and metals have a zero, or trivial, topological invariant, and their properties are not affected by the topology of their band structure. Topologically non-trivial materials, however, display a host of exotic phenomena in their transport and spectroscopic properties, and band topology has to be invoked to explain them. Band topology has even emerged as a classification principle of the states of matter, with the topological invariant characterizing the topological class of the materials. Soon after the discovery of topological insulators, topological semimetals were theoretically predicted and experimentally realized. These are gapless systems characterized by protected band crossings with linear energy dispersions resembling those of relativistic particles. The physical realization of these systems is important not only because of the opportunity to study novel quantum phases of matter and emergent phenomena which have led to the discoveries of surface Dirac cones, surface Fermi arcs, the chiral anomaly and colossal photovoltaic effects, but also because they hold promise for applications in quantum devices. Although it has recently been realized that topological materials are fairly ubiquitous in nature, signatures of their nontrivial topology are still not easily accessible due to the lack of ideal material realizations. For years this was the main obstacle in the study of nodal-line semimetals. For topological physics to be accessible, two things must occur. First, the nodes (line or point) must be very close to the Fermi level and second, there should be no other trivial bands at the Fermi level. The search for material realizations of ideal semimetals of each type is the subject of my dissertation. An ideal nodal-line semimetal predicted to satisfy both of these criteria is CaAgAs. We are the first group to synthesize single crystals of this material, and study their transport properties and band structure. We additionally studied CaCdGe, a compound with the same crystal structure and topological nodal line, but a much more complicated Fermi surface with trivial bands near the Fermi level. By comparing the transport properties of these two materials, our study provided evidence that the large magnetoresistance and the highly debated linear magnetoresistance seen in topological semimetals might simply be due to electron-hole compensation and charge fluctuations, respectively. Furthermore, a topological surface state was observed in our CaAgAs in our collaborative angle-resolved photoemission spectroscopy experiment, unambiguously proving that this material was correctly dubbed the "hydrogen atom" of nodal-line semimetals. Experimental work provides key insights that lead to a revision of the theory and thus our understanding of the physics of a material. This is what our study on CuMnAs accomplished. CuMnAs was predicted to be an antiferromagnetic Dirac semimetal, with a topological protection that relied on a theoretically predicted magnetic structure. However, no such structure had ever been experimentally confirmed. In our study, we grew single crystals of CuMnAs, resolved this magnetic structure and showed that it was actually different from the theoretically predicted one. Although this led to the Dirac fermions no longer being protected, our collaborative first-principles calculations found that it leads to the emergence of spin-polarized surface states, a much sought after property for spintronics. Many of the topological semimetals that are currently being studied were first synthesized decades ago. However, in light of new predictions regarding the topology of their band structure, their properties are now being re-examined. Our studies of NbGe2, a chiral non-centrosymmetric superconductor first studied in the 1970s and recently predicted to host Kramers-Weyl fermions, reveal that it might be possible for this material to harbor a superconducting topological surface state.

Topological and Superconducting Properties of Weyl and Dirac Metals

Author : Grigory Bednik
Publisher :
ISBN 13 :
Total Pages : 141 pages
Book Rating : 4.:/5 (19 download)

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Book Synopsis Topological and Superconducting Properties of Weyl and Dirac Metals by : Grigory Bednik

Download or read book Topological and Superconducting Properties of Weyl and Dirac Metals written by Grigory Bednik and published by . This book was released on 2018 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work we explore superconductivity and surface states in topological semimetals. We start from general overview of basic properties of topological semimetals. We review general concepts of Chern insulators, their surface states, and use it as a building block for construction of Weyl metals. We also construct double Weyl metals, which are protected both by topology and discrete rotational symmetry. In addition, we study Luttinger model of semimetals - it the simplest case, it is non-topological, but it can acquire topological Weyl points in the presence of non-zero Zeeman field. We present study of its surface states, and also consider its possible critical points. Next, we turn to the problem of superconductivity in Weyl metals. We demonstrate that Weyl metals are natural candidates for hosting unconventional superconductivity. Specifically, we consider two possible superconducting instabilities: unconventional finite momentum FFLO pairing, and zero momentum BCS pairing, which is also unconventional due to spin-momentum locking in Weyl metals. We demonstrate that its BCS phase is more favorable. In addition, we compute its anomalous Hall conductivity, and demonstrate that it is universal, i.e. not affected by the presence of superconductivity. Finally, we consider Dirac metals, which are protected solely by rotational symmetry. We point out, that mirror symmetry along its Dirac points plays special role. We demonstrate, that by breaking the rotational symmetry, it is possible to convert Dirac metal into a topological crystalline insulator, and Dirac metal itself can be viewed as a critical point between its different topological phases. We explore surface states spectrum in the resulting picture, and demonstrate, that this mechanism can be used to show that surface states in Dirac metal always terminate at Dirac points despite being not topologically protected.

Consequences of Non-trivial Band Topology in Condensed Matter Systems

Author : Pavan Ramakrishna Hosur
Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.:/5 (81 download)

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Book Synopsis Consequences of Non-trivial Band Topology in Condensed Matter Systems by : Pavan Ramakrishna Hosur

Download or read book Consequences of Non-trivial Band Topology in Condensed Matter Systems written by Pavan Ramakrishna Hosur and published by . This book was released on 2012 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The commonly adopted classification of the electronic phases of matter as metals, insulators, semimetals, semiconductors and superconductors can be refined by studying the topological properties of the band structure in these phases. This unveils a rich and diverse substructure, and helps to conclude the existence of topological phases -- phases whose properties are robust against perturbations, possibly with the requirement that the perturbations preserve certain symmetries. In this dissertation, several topological phases are studied, and predictions are made for some unusual physical phenomena involving these phases. Some of these phenomena may be observable using current experimental techniques. Topological phases often carry unconventional surface states; experimental signatures for the surface states of a strong topological insulator are presented as well. We begin by systematically discussing the gapped phases, including some topological insulators and topological superconductors, proximate to a three-dimensional Dirac node. Studying topological defects in these phases reveals interesting duality relations between them, which provide potential routes for unconventional or non-Landau-Ginzburg-Wilson continuous phase transitions between them. Topological textures, on the other hand, can lead to very different physics, and we show that a bulk superconductor vortex in a topological insulator -- a texture with a non-trivial Hopf index -- acts like a fermion. As a corollary, we show that if the vortex string is terminated by a surface, the resulting dangling end traps a Majorana zero mode. The Majorana mode is found to be stable against doping the topological insulator, provided the doping is below a critical value set by Berry phase properties of the Fermi surface of the doped insulator. Importantly, several existing superconductors such as Cu-doped Bi2Se3 and TlBiTe2 are predicted to host surface Majorana modes. In the absence of superconductivity, the surface of a topological insulator has gapless, spin-momentum locked states. This locking leads to an interesting response to circularly polarized radiation, with the dominant photocurrent being tied to the Berry curvature of the surface bands. Having studied several theoretical and experimental implications of gapped topological phases, we turn our attention towards a gapless topological phase -- the Weyl semimetal. We investigate transport in this phase in the presence of Coulomb interactions or disorder at finite temperature, and compare our results to experimental data on the candidate Weyl semimetal Y2Ir2O7, finding encouraging agreement.

Weak-Coupling Theory of Topological Superconductivity

Author : Thomas Scaffidi
Publisher : Springer
ISBN 13 : 3319628674
Total Pages : 121 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Weak-Coupling Theory of Topological Superconductivity by : Thomas Scaffidi

Download or read book Weak-Coupling Theory of Topological Superconductivity written by Thomas Scaffidi and published by Springer. This book was released on 2017-07-25 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis sheds important new light on the puzzling properties of Strontium Ruthenate. Using a sophisticated weak-coupling approach, exact within certain limits, it shows that proper treatment of spin-orbit and multi-band effects is crucial to the physics. Based on the results of these calculations, it resolves a crucial, long-standing puzzle in the field: It demonstrates why the experimentally observed time-reversal breaking is not incompatible with the observed lack of measurable edge currents. Lastly, the thesis makes predictions for the properties of the material under uniaxial strain, which are in good agreement with recent experiments —resolving the mystery of the so-called 3K phase, and suggesting the intriguing possibility that under strain the superconductor may become conventional.

Topological Properties of Ferromagnetic Superconductors

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (986 download)

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Book Synopsis Topological Properties of Ferromagnetic Superconductors by :

Download or read book Topological Properties of Ferromagnetic Superconductors written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, a variety of heavy fermion superconductors, such as UCoGe, UGe2, and URhGe exhibit a striking coexistence of bulk ferromagnetism and superconductivity. In the first two materials, the magnetic moment decreases with pressure, and vanishes at a ferromagnetic quantum critical point (qcp). Remarkably, the superconductivity in UCoGe varies smoothly with pressure across the qcp and exists in both the ferromagnetic and paramagnetic regimes. We argue that in UCoGe, spin-orbit interactions stabilize a time-reversal invariant odd-parity superconductor in the high pressure paramagnetic regime. Based on a simple phenomenological model, we predict that the transition from the paramagnetic normal state to the phase where superconductivity and ferromagnetism coexist is a first-order transition.

Electronic Properties of Dirac and Weyl Semimetals

Author : Eduard V. Gorbar
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811207341
Total Pages : 450 pages
Book Rating : 4.2/5 (73 download)

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Book Synopsis Electronic Properties of Dirac and Weyl Semimetals by : Eduard V. Gorbar

Download or read book Electronic Properties of Dirac and Weyl Semimetals written by Eduard V. Gorbar and published by World Scientific Publishing Company. This book was released on 2021-01-14 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph reviews various aspects of electronic properties of Dirac and Weyl semimetals. After a brief discussion of 2D Dirac semimetals, a comprehensive review of 3D materials is given. The description starts from an overview of the topological properties and symmetries of Dirac and Weyl semimetals. In addition, several low-energy models of Dirac and Weyl quasiparticles are presented. The key ab initio approaches and material realizations are given. The monograph includes detailed discussions of the surface Fermi arcs, anomalous transport properties, and collective modes of Dirac and Weyl semimetals. Superconductivity in these materials is briefly addressed.

Superconductivity, Magnetism and Topological Properties of Several Quasi-1D Materials

Author : Xiaoyuan Liu
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (126 download)

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Book Synopsis Superconductivity, Magnetism and Topological Properties of Several Quasi-1D Materials by : Xiaoyuan Liu

Download or read book Superconductivity, Magnetism and Topological Properties of Several Quasi-1D Materials written by Xiaoyuan Liu and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation focuses on the investigation of several material systems with distinct quasi-onedimensional (quasi-1D) or pseudo-quasi-1D structural features and hosting rather interesting magnetic, superconducting, and topological properties. High quality of powders or single crystals have been synthesized through various methods and carefully characterized through X-ray diffraction, magnetic, electrical transport and thermal transport studies at low temperature and under high magnetic fields. Their unique magnetic, superconducting, and possible topological properties are presented with their future implications further discussed. Firstly, we investigated the magnetic property and superconductivity in two iron-based chalcogenides with quasi-1D structure: BaFe2Se4 and K3Fe2Se4. Both compounds consist of 1D chains of iron chalcogenide with FeSe4 tetrahedra, similar to the fundamental building block FeAs4 in the iron-based superconductors. However, these FeSe4 tetrahedra is edge-shared along one specific crystallographic axis and forms 1D chain structure, rather than the two-dimensional layered Fe2As2 structure seen in the common iron-based superconductors. X-ray powder pure phases of both compounds are synthesized and found to be semiconducting and magnetic. Intuitively doping studies based on the nominal iron valence charges are also carried out, however, no superconductivity is detected yet at this stage in the doped samples. Secondly, we carried out systematical doping studies aiming to induce superconductivity in the Zr5Ge3 system with Mn5Si3-type structure and pseudo-quasi-1D Zr3Ge3 chain along the c axis. Different transition metal doping at different crystallographic sites in this Zr5Ge3 system have been thoroughly investigated. Interestingly, superconductivity was successfully induced through Ru and Pt doping, but only at the Ge site. Superconductivity is found to be absent with same amount of carrier doping at the Zr site or interstitial site. The highest superconducting Tc is found to be at 5.7 K for Ru doping, and 2.8 K for Pt doping. Detailed transport and magnetic studies have suggested bulk superconductivity, high upper critical field, enhanced electron correlation, and extremely small electron-phonon coupling, indicating possible unconventional superconductivity in this system. In addition, we also investigated the superconductivity properties of the A2Mo3As3 (A = K, Rb), which has a more 1D-like Mo3As3 chain structure but structurally very close to the Zr5Ge3 compound. The superconducting Tc is ~ 10.6 K, and the electrical transport studies suggested a much higher upper critical field ~ 27 T, exceeding the Pauli limit based on conventional criteria. Thirdly, we present a study of synthesis and crystal growth of Îł, Îø-Bi4X4 (X = I, Br) materials with different stacking of 1D BiX chains and various interesting topological properties. Different types of synthetic methods have been tested for the high quality crystal growth, and crystals as large as 8 mm size of Bi4X4 was successfully synthesized. A hypothetical growth mechanism was proposed for Bi4Br4. The transport measurements have revealed a topological phase transition from Îø-Bi4I4 as a strong topological insulator to Îł-Bi4I4 with high ordered hinge states around room temperature at 300 K. The exact origin of several transport anomaly in the Îł-Bi4I4 and Îł'-Bi4Br4 remain elusive at this stage. Single crystals of mixed Bi4I4-xBrx (0.1 9́Þ x 9́Þ 3) were also synthesized and a rather interesting structural transformations upon Br doping have been observed, and further studies are needed to fully understand the topological phase transitions in this system. Last but not least, chemical intercalation studies were also carried out, and preliminary data suggests superconductivity is successfully induced in these materials. The last part of this dissertation focus on a two-dimensional material Black phosphorus (Black-P). We carried out thorough experimental studies to investigate the growth mechanism for Black-P aiming to facilitate its future layer-by-layer thin film growth. A new synthetic strategy to grow large size of Black-P crystals through a ternary clathrate Sn24P22-xI8 under lower temperature and pressure was reported. The chemical vapor transport mechanism was found not play a critical role for the growth of Black-P, but rather the vapor-solid-solid (VSS)-like growth mechanism is found to be crucial for the quality growth. The ternary clathrate Sn24P22-xI8 acts as the solid catalyst and the P vacancies in Sn24P22-xI8 was found plays an important role in this mechanism.

Linear Electrodynamic Response of Topological Semimetals

Author : Artem V. Pronin
Publisher : Springer
ISBN 13 : 9783031356360
Total Pages : 0 pages
Book Rating : 4.3/5 (563 download)

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Book Synopsis Linear Electrodynamic Response of Topological Semimetals by : Artem V. Pronin

Download or read book Linear Electrodynamic Response of Topological Semimetals written by Artem V. Pronin and published by Springer. This book was released on 2023-08-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a model description for the electromagnetic response of topological nodal semimetals and summarizes recent experimental findings in these systems. Specifically, it discusses various types of topological semimetals – Dirac, Weyl, nodal-line, triple-point, and multifold semimetals – and provides description for the characteristic features of the linear electrodynamic response for all these types of materials. Topological semimetals possess peculiar bulk electronic band structure, which leads to unusual electrodynamic response. For example, the low-energy inter-band optical conductivity of nodal semimetals is supposed to demonstrate power-law frequency dependence and the intra- and inter-band contributions to the conductivity are often mixed. Further, the magneto-optical response is also unusual, because of the non-equidistant spacing between the Landau levels. Finally, in semimetals with chiral electronic bands, e.g. in Weyl semimetals, the simultaneous application of parallel magnetic and electric fields leads to the chiral anomaly, i.e. to a misbalance between the electrons with diffident chiralities. This misbalance affects the electrodynamics properties of the material and can be detected optically. All these points are addressed here in detail. The book is written for a wide audience of physicists, working in the field of topological condensed matter physics. It gives a pedagogical introduction enabling graduate students and non-experts to familiarize themselves with the subject.

A Short Course on Topological Insulators

Author : János K. Asbóth
Publisher : Springer
ISBN 13 : 3319256076
Total Pages : 176 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis A Short Course on Topological Insulators by : János K. Asbóth

Download or read book A Short Course on Topological Insulators written by János K. Asbóth and published by Springer. This book was released on 2016-02-22 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.

Topological Semimetals

Author : David J. Fisher
Publisher : Materials Research Forum LLC
ISBN 13 : 1644900157
Total Pages : 164 pages
Book Rating : 4.6/5 (449 download)

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Book Synopsis Topological Semimetals by : David J. Fisher

Download or read book Topological Semimetals written by David J. Fisher and published by Materials Research Forum LLC. This book was released on 2019-04-20 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological semimetals are quantum materials that are not only extremely interesting from a theoretical point of view but also have a great potential for technological applications in which superconducting, semiconducting and other semimetal behaviors are involved. Keywords: Quantum Materials, Macroscopic Quantum Phenomena, Topological Semimetals, Dirac Semimetals, Weyl Semimetals, Nodal-Line Semimetals, Antimony and Antimonides, Antimonene, Arsenides, Bismuthides, Boron, Borides, Borophene, Carbon and Carbides, Chalcogenides, Nitrides, Phosphorus, Phosphides, Silicides, Topological Metals, Topological States of Matter.

Realization and Ground State Properties of Topological Superconductors in One Dimension

Author : Younghyun Kim (Physicist)
Publisher :
ISBN 13 : 9781369147001
Total Pages : 164 pages
Book Rating : 4.1/5 (47 download)

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Book Synopsis Realization and Ground State Properties of Topological Superconductors in One Dimension by : Younghyun Kim (Physicist)

Download or read book Realization and Ground State Properties of Topological Superconductors in One Dimension written by Younghyun Kim (Physicist) and published by . This book was released on 2016 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological superconductors with and without time-reversal symmetry are new phases of matters which host Majorana zero modes at their ends. The possibility of realizing such phases in various kinds of materials that are experimentally accessible, in addition to their unique signatures in simple transport measurements, has brought significant amount of attention from both theorists and experimentalists in condensed matter physics. In this thesis, we extend the previous studies on the realization of topological superconductors and try to answer some of the open questions regarding their transport signatures.

Topological Phases of Matter

Author : Roderich Moessner
Publisher : Cambridge University Press
ISBN 13 : 1107105536
Total Pages : 393 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Topological Phases of Matter by : Roderich Moessner

Download or read book Topological Phases of Matter written by Roderich Moessner and published by Cambridge University Press. This book was released on 2021-04-29 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.