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Measurements Of Interaction Driven States In Monolayer And Bilayer Graphene
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Book Synopsis Measurements of Interaction-Driven States in Monolayer and Bilayer Graphene by : Benjamin Ezekiel Feldman
Download or read book Measurements of Interaction-Driven States in Monolayer and Bilayer Graphene written by Benjamin Ezekiel Feldman and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In materials systems with flat energy bands and limited disorder, interactions among electrons dominate and can dramatically alter physical behavior. Traditionally, two-dimensional electron gases (2DEGs) have offered excellent platforms to study these effects because the kinetic energy of the electrons is effectively quenched by a perpendicular magnetic field. The recent discovery of graphene, a two-dimensional form of carbon, has opened the door for further exploration into many-body phenomena. Graphene, unlike conventional 2DEGs, has fourfold degenerate electronic states due to its spin and valley degrees of freedom. This thesis describes several experiments that show how these underlying symmetries combine with electron-electron interactions to produce novel and tunable correlated electronic phases of matter.
Book Synopsis Thermodynamic and Tunneling Measurements of Van Der Waals Heterostructures by : Spencer Louis Tomarken
Download or read book Thermodynamic and Tunneling Measurements of Van Der Waals Heterostructures written by Spencer Louis Tomarken and published by . This book was released on 2019 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In certain electronic systems, strong Coulomb interactions between electrons can favor novel electronic phases that are difficult to anticipate theoretically. Accessing fundamental quantities such as the density of states in these platforms is crucial to their analysis. In this thesis, I explore the application of two measurement techniques towards this goal: capacitance measurements that probe the thermodynamic ground state of an electronic system and planar tunneling measurements that access its quasiparticle excitation spectrum. Both techniques were applied to van der Waals materials, a class of crystals composed of layered atomic sheets with weak interplane bonding which permits the isolation of single and few-layer sheets that can be manually assembled into heterostructures. Capacitance measurements were performed on a material system commonly known as magic-angle twisted bilayer graphene (MATBG). When two monolayers of graphene, a single sheet of graphite, are stacked on top of one another with a relative twist between their crystal axes, the resultant band structure is substantially modified from the cases of both monolayer graphene and Bernal-stacked (non-twisted) bilayer graphene. At certain magic angles, the low energy bands become extremely flat, quenching the electronic kinetic energy and allowing strong electron-electron interactions to become relevant. Exotic insulating and superconducting phases have been observed using conventional transport measurements. By accessing the thermodynamic density of states of MATBG, we estimate its low energy bandwidth, Fermi velocity, and interaction-driven energy gaps. Time-domain planar tunneling was performed on a heterostructure that consisted of monolayer graphene and hexagonal boron nitride (serving as the dielectric and tunnel barrier) sandwiched between a graphite tunneling probe and metal gate. Tunneling currents were induced by applying a sudden voltage pulse across the full parallel plate structure. The lack of in-plane charge motion allowed access to the tunneling density of states even when the heterostructure was electrically insulating in the quantum Hall regime. These measurements represent the first application of time-domain planar tunneling to the van der Waals class of materials, an important step in extending the technique to new material platforms.
Book Synopsis Edge States and Quantum Hall Phases in Graphene by : Pavlo Piatkovskyi
Download or read book Edge States and Quantum Hall Phases in Graphene written by Pavlo Piatkovskyi and published by . This book was released on 2015 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this thesis is the dynamical symmetry breaking in monolayer and bilayer graphene in a magnetic field and the edge excitations in these systems. Due to the spin and valley degrees of freedom, the Coulomb interaction in graphene can lead to various brokensymmetry quantum Hall phases. The transport properties of each phase are a ected by the low-energy edge excitations, and understanding the edge state properties can be crucial for identifying the true nature of the ground state. We study edge states in biased bilayer graphene in a magnetic field within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and armchair edges. Exact dispersion equations for the edge states and analytic expressions for their wave functions are written in terms of the parabolic cylinder functions. The spectrum of edge states for each type of the boundary conditions is found by numerically solving the corresponding dispersion equations. The low-energy modes localized at zigzag edges are explored in detail. In the case of monolayer graphene, we study edge excitations of the = 0 quantum Hall state within the mean-field theory with di erent symmetry breaking terms. The analytical expressions for the continuum (Dirac) model wave functions are obtained for the charge density wave, Kekulé distortion, ferromagnetic and (canted) antiferromagnetic phases. The dispersion equations for each phase and boundary type (zigzag and armchair) are derived, numerically solved and compared to the results of the corresponding e ective tight-binding model. The e ect of the next-to-nearest neighbor hopping parameter on the edge state spectrum is studied and revealed to be essential. The criteria for the existence of gapless edge states are established for each phase and edge type. Finally, we study di erent broken-symmetry quantum Hall phases in bilayer graphene with even filling factors. The gap equation is solved in the lowest Landau level approximation using the long-range screened Coulomb potential as well as the general form of the short-range interaction terms. Phase transitions driven by changing the external electric field and tilting the magnetic field are described.
Book Synopsis Graphene Science Handbook, Six-Volume Set by : Mahmood Aliofkhazraei
Download or read book Graphene Science Handbook, Six-Volume Set written by Mahmood Aliofkhazraei and published by CRC Press. This book was released on 2016-04-26 with total page 3379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphene is the strongest material ever studied and can be an efficient substitute for silicon. This six-volume handbook focuses on fabrication methods, nanostructure and atomic arrangement, electrical and optical properties, mechanical and chemical properties, size-dependent properties, and applications and industrialization. There is no other major reference work of this scope on the topic of graphene, which is one of the most researched materials of the twenty-first century. The set includes contributions from top researchers in the field and a foreword written by two Nobel laureates in physics. Volumes in the set: K20503 Graphene Science Handbook: Mechanical and Chemical Properties (ISBN: 9781466591233) K20505 Graphene Science Handbook: Fabrication Methods (ISBN: 9781466591271) K20507 Graphene Science Handbook: Electrical and Optical Properties (ISBN: 9781466591318) K20508 Graphene Science Handbook: Applications and Industrialization (ISBN: 9781466591332) K20509 Graphene Science Handbook: Size-Dependent Properties (ISBN: 9781466591356) K20510 Graphene Science Handbook: Nanostructure and Atomic Arrangement (ISBN: 9781466591370)
Book Synopsis Transport Measurements of Correlated States in Graphene Flat Bands by : Shaowen Chen
Download or read book Transport Measurements of Correlated States in Graphene Flat Bands written by Shaowen Chen and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Alternatively, in the flat bands arising from moiré superlattices, we explore two tuning knobs of correlated states. In twisted bilayer graphene, the band width are tuned by changing interlayer hybridization via pressure. The resulting superconducting and correlated insulator states can be restored outside of a narrow range of twist angles near 1.1 degrees. New fermi surfaces also form at commensurate fillings of the flat band with reduced degeneracy. In twisted monolayer-bilayer graphene, we find extraordinary level of control and tunability because of the low symmetry. With perpendicular electric field, the system can alternate among correlated metallic and insulating states, as well as topological magnetic states. The magnetization direction can be switched purely with electrostatic doping at zero magnetic field.
Book Synopsis Graphene Science Handbook by : Mahmood Aliofkhazraei
Download or read book Graphene Science Handbook written by Mahmood Aliofkhazraei and published by CRC Press. This book was released on 2016-04-21 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Size Up the Short- and Long-Term Effects of GrapheneThe Graphene Science Handbook is a six-volume set that describes graphene's special structural, electrical, and chemical properties. The book considers how these properties can be used in different applications (including the development of batteries, fuel cells, photovoltaic cells, and supercapac
Book Synopsis Nanoscale Quantum Materials by : Tapash Chakraborty
Download or read book Nanoscale Quantum Materials written by Tapash Chakraborty and published by CRC Press. This book was released on 2021-08-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past four decades, there has been growing interest in the exciting new topic of physics in low dimensions. Thousands of original ideas have been proposed in the literature, and some are confirmed experimentally, along with several Nobel prizes which have been awarded in this field. While there are several books available, almost all are technical and accessible only to expert researchers. This book provides an accessible introduction to the field, with less emphasis on technical details. Whilst this book does not provide a traditional history of nano-science, instead it uses simple explanations and case studies as vehicles to explain key discoveries and the importance of them, enabling readers without a background in the area to gain an understanding of some aspects of nanoscale physics. It will be of interest to researchers working in condensed matter physics, in addition to engineers and advanced students in those disciplines. It also remains accessible to ‘physics enthusiasts’ from other academic disciplines, as technical details are contained within boxes and footnotes which can be skipped for a general reading of the book. Features: - Provides an accessible introduction to a technical subject - Contains exciting developments from the cutting-edge science being conducted in the area - Authored by a recognised expert in the field
Book Synopsis Role of Electron-electron Interactions in Chiral 2DEGs by : Yafis Barlas
Download or read book Role of Electron-electron Interactions in Chiral 2DEGs written by Yafis Barlas and published by . This book was released on 2008 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we study the effect of electron-electron interactions on Chiral two-dimensional electron gas (C2DEGs). C2DEGs are a very good description of the low-energy electronic properties of single layer and multilayer graphene systems. The low-energy properties of single layer and multilayer graphene are described by Chiral Hamiltoninans whose band eigenstates have definite chirality. In this thesis we focus on the effect of electron-electron interactions on two of these systems: monolayer and bilayer graphene. In the first half of this thesis we use the massless Dirac Fermion model and random-phase-approximation to study the effect of interactions in graphene sheets. The interplay of graphene's single particle chiral eigenstates along with electron-electron interactions lead to a peculiar supression of spin susceptibility and compressibility, and also to an unusual velocity renormalization. We also report on a theoretical study of the influence of electron-electron interactions on ARPES spectra in graphene. We find that level repulsion between quasiparticle and plasmaron resonances gives rise to a gap-like feature near the Dirac point. In the second half we anticipate interaction driven integer quantum Hall effects in bilayer graphene because of the near-degeneracy of the eight Landau levels which appear near the neutral system Fermi level. We predict that an intra-Landau-level cyclotron resonance signal will appear at some odd-integer filling factors, accompanied by collective modes which are nearly gapless and have approximate q[superscrit 3/2] dispersion. We speculate on the possibility of unusual localization physics associated with these modes.
Book Synopsis Science by : John Michels (Journalist)
Download or read book Science written by John Michels (Journalist) and published by . This book was released on 2011 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2009 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Quantum Hall Effect by : Richard E. Prange
Download or read book The Quantum Hall Effect written by Richard E. Prange and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: After a foreword by Klaus von Klitzing, the first chapters of this book discuss the prehistory and the theoretical basis as well as the implications of the discovery of the Quantum Hall effect on superconductivity, superfluidity, and metrology, including experimentation. The second half of this volume is concerned with the theory of and experiments on the many body problem posed by fractional effect. Specific unsolved problems are mentioned throughout the book and a summary is made in the final chapter. The quantum Hall effect was discovered on about the hundredth anniversary of Hall's original work, and the finding was announced in 1980 by von Klitzing, Dorda and Pepper. Klaus von KIitzing was awarded the 1985 Nobel prize in physics for this discovery.
Book Synopsis Graphene, Ge/III-V, and Emerging Materials for Post-CMOS Applications 2 by : P. Srinivasan
Download or read book Graphene, Ge/III-V, and Emerging Materials for Post-CMOS Applications 2 written by P. Srinivasan and published by The Electrochemical Society. This book was released on 2010-04 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This issue of ECS Transactions addresses the fundamental material science, characterization, modeling and applications of Graphene, Ge-III-V and Emerging materials designed for alternatives technologies to replace CMOS.
Book Synopsis The Physics of Graphene by : Mikhail I. Katsnelson
Download or read book The Physics of Graphene written by Mikhail I. Katsnelson and published by Cambridge University Press. This book was released on 2020-03-19 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading graphene research theorist Mikhail I. Katsnelson systematically presents the basic concepts of graphene physics in this fully revised second edition. The author illustrates and explains basic concepts such as Berry phase, scaling, Zitterbewegung, Kubo, Landauer and Mori formalisms in quantum kinetics, chirality, plasmons, commensurate-incommensurate transitions and many others. Open issues and unsolved problems introduce the reader to the latest developments in the field. New achievements and topics presented include the basic concepts of Van der Waals heterostructures, many-body physics of graphene, electronic optics of Dirac electrons, hydrodynamics of electron liquid and the mechanical properties of one atom-thick membranes. Building on an undergraduate-level knowledge of quantum and statistical physics and solid-state theory, this is an important graduate textbook for students in nanoscience, nanotechnology and condensed matter. For physicists and material scientists working in related areas, this is an excellent introduction to the fast-growing field of graphene science.
Book Synopsis Quantum Theory of the Electron Liquid by : Gabriele Giuliani
Download or read book Quantum Theory of the Electron Liquid written by Gabriele Giuliani and published by Cambridge University Press. This book was released on 2008-06-19 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.
Book Synopsis Semiconductor Nanostructures by : Thomas Ihn
Download or read book Semiconductor Nanostructures written by Thomas Ihn and published by Oxford University Press. This book was released on 2010 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the physics of semiconductor nanostructures and their transport properties emphasizes five fundamental transport phenomena: quantized conductance, tunnelling transport, the Aharonov-Bohm effect, the quantum Hall effect and the Coulomb blockade effect.
Book Synopsis Structure- and Adatom-Enriched Essential Properties of Graphene Nanoribbons by : Shih-Yang Lin
Download or read book Structure- and Adatom-Enriched Essential Properties of Graphene Nanoribbons written by Shih-Yang Lin and published by CRC Press. This book was released on 2018-11-19 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structure- and Adatom-Enriched Essential Properties of Graphene Nanoribbons offers a systematic review of the feature-rich essential properties in emergent graphene nanoribbons, covering mainstream theoretical and experimental research. It includes a wide range of 1D systems; namely, armchair and zigzag graphene nanoribbons with and without hydrogen terminations, curved and zipped graphene nanoribbons, folded graphene nanoribbons, carbon nanoscrolls, bilayer graphene nanoribbons, edge-decorated graphene nanoribbons, and alkali-, halogen-, Al-, Ti, and Bi-absorbed graphene nanoribbons. Both multiorbital chemical bondings and spin arrangements, which are responsible for the diverse phenomena, are explored in detail. First-principles calculations are developed to thoroughly describe the physical, chemical, and material phenomena and concise images explain the fundamental properties. This book examines in detail the application and theory of graphene nanoribbons, offering a new perspective on up-to-date mainstream theoretical and experimental research.
Book Synopsis Optical Properties of Graphene in Magnetic and Electric Fields by : C. Y. Lin
Download or read book Optical Properties of Graphene in Magnetic and Electric Fields written by C. Y. Lin and published by IOP Publishing Limited. This book was released on 2017-12-10 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Properties of Graphene in Magnetic and Electric Fields provides a synthesis of up to date research on the optical properties of graphene, drawing from both experimental and theoretical research. The focus is primarily on multilayer graphenes with a focus on Landau-level spectra and the generalised tight-binding model. The interplay between external fields and the geometric configuration determines relationships between the components of wave functions in different sublattices. This leads to observation that the optical properties display a strong dependence on the stacking configuration and the number of layers. In general, this model can reasonably comprehend the quantization effect in arbitrarily stacked graphenes as well as other layered 2D materials such as MoS2 and silicene. Comparisons between theoretical and experimental work are drawn, as are the different graphene synthesis methods.
