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Exotic Phases Of Matter In Quantum Magnets
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Book Synopsis Exotic Phases of Matter in Quantum Magnets by : Ido Amran Niesen
Download or read book Exotic Phases of Matter in Quantum Magnets written by Ido Amran Niesen and published by . This book was released on 2018 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite their often relatively simple Hamiltonians, strongly interacting spin lattice systems, also known as 'quantum magnets', can be notoriously hard to study. In this thesis, we employ tensor network algorithms–which find their inspiration in the field of quantum information, and allow for the approximation of quantum states from an entanglement entropy perspective–in order to compute the ground state phase diagrams of several experimentally relevant quantum magnets. Specifically, we provide accurate studies of the ground state phase diagram of the bilinear-biquadratic Heisenberg model on the square and triangular lattices by means of infinite projected entangled pairs states: an unbiased ansatz that works directly in the thermodynamic limit. Our most intriguing finding is that, on the square lattice, the well-known Haldane phase of decoupled spin-1 chains extends all the way to the two-dimensional square lattice. Our studies of the Shastry-Sutherland (SSL) model propose an explanation for the discrepancy between several theoretical and a more recent experimental paper on the nature of the ground state of the SSL model. In addition, building on the observation that the sign problem disappears at low temperatures, we also discuss a method for studying the SSL model (and an extension thereof) in the dimer phase by means of quantum Monte Carlo.
Book Synopsis Exotic Phases in Geometrically Frustrated Quantum Magnets by : Tyler Dodds
Download or read book Exotic Phases in Geometrically Frustrated Quantum Magnets written by Tyler Dodds and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exotic Quantum Phases in Two-dimensional Frustrated Magnets by : Jason Alicea
Download or read book Exotic Quantum Phases in Two-dimensional Frustrated Magnets written by Jason Alicea and published by ProQuest. This book was released on 2007 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quite remarkably, the low-energy behavior of most metals is well captured by effectively ignoring the Coulomb repulsion between the constituent electrons. Yet over the past several decades many examples of "strongly correlated systems" have been discovered for which a strong interplay between interactions and quantum mechanics leads rather to spectacular deviations from an independent-electron picture, as exemplified by quantum Hall systems, high-Tc superconductors, heavy fermion compounds, etc. This thesis is concerned with exploring exotic physics that can emerge in a class of correlated systems known as quantum magnets, where electrons "self-localize" around crystal lattice sites due to interactions, leaving residual spin couplings at low energies. Typically the ground states of such systems exhibit spontaneous symmetry breaking, commonly in the form of magnetic order. But sufficiently strong quantum fluctuations can suppress symmetry-breaking order even down to zero temperature, generating exotic "spin liquid" phases that exhibit novel features such as electron fractionalization, topological order, emergent symmetries, etc.
Book Synopsis Magnetism: A Very Short Introduction by : Stephen J. Blundell
Download or read book Magnetism: A Very Short Introduction written by Stephen J. Blundell and published by Oxford University Press. This book was released on 2012-06-28 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is that strange and mysterious force that pulls one magnet towards another, yet seems to operate through empty space? This is the elusive force of magnetism. Stephen J. Blundell considers early theories of magnetism, the discovery that Earth is a magnet, and the importance of magnetism in modern technology.
Book Synopsis Exotic Ground States and Excitations in Quantum Magnets by : Samuel Patrick Michael Curley
Download or read book Exotic Ground States and Excitations in Quantum Magnets written by Samuel Patrick Michael Curley and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exotic Ground States in Novel Quantum Magnets by : Charuni Dissanayake
Download or read book Exotic Ground States in Novel Quantum Magnets written by Charuni Dissanayake and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanical frustration (QMF) in magnetic materials has become a pivotal ingredient in discovering intriguing properties of materials. The quantum spin liquid (QSL) state is a prime consequence of frustration in which spin fluctuations persist to absolute zero temperature. This orderless state is not characterized by symmetry breaking and guarantees an infinite degeneracy in its ground state. The quest to realize such nontrivial ground states in view of spin correlation, elementary excitation, topology, and geometry requires convincing experimental evidence. QMF is often manifested in unique lattice systems, such as spin-1/2 hyper-honeycomb lattices with strong spin-orbit coupling and geometrically frustrated Kagome lattices. Metal-organic frameworks (MOFs) that comprise metal ions with organic linkers via coordinate bonds have recently been proposed to realize the QSL ground state. Owing to the vast versatility of constituent's, the copper-oxalate MOF, [(C2H5)3NH]2Cu2(C2O4)3, unfolds a new avenue for us to realize unusual magnetic phases. To investigate the exotic ground state, we synthesized single crystals of [(C2H5)3NH]2Cu2(C2O4)3 and measured their thermodynamic properties. Our low-temperature and high-magnetic-field heat-capacity (Cp) measurements corroborate an exotic but rich ground state in [(C2H5)3NH]2Cu2(C2O4)3. A finite linear-in temperature Cp term with no indication of any thermal anomaly was observed at low temperature in zero field, indicating the absence of magnetic order and the presence of gapless spinon excitations despite the Mott insulating phase. Applied magnetic fields suppress the low-temperature Cp and drive the system into a gapped phase. The field-induced gap is described by the sine-Gorden model for quasi-one-dimensional antiferromagnetic Heisenberg chains, originating from anisotropic magnetic exchange interactions due to the Jahn-Teller distortion. Kagome lattices are archetypes of potential QSL, superconducting, Chern insulating states due to flat energy bands, Dirac fermions, and van Hove singularities in its electronic band structure. Sc3Mn3Al7Si5 is a transition metal compound with a hexagonal structure in which magnetic Mn atoms form kagome nets and does not show magnetic order down to 2 K, suggestive of a possible itinerant QSL. In this dissertation, to elucidate its exotic ground state, we synthesized single crystals of Sc3Mn3Al7Si5 and measured magnetoresistance, Cp, soft point contact spectroscopy, and torque magnetometry at low temperatures and high magnetic fields. Our experimental results suggest that the unusual ground state is induced by dispersionless energy bands induced by strong electron correlations. Our findings through distinct states of matter spanning from Mott insulators to itinerant metals will provide new insights to characterize the ground state in novel quantum magnets.
Book Synopsis Exotic Phases of Quantum Frustrated Magnets by : Julien Dorier
Download or read book Exotic Phases of Quantum Frustrated Magnets written by Julien Dorier and published by . This book was released on 2008 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Frustrated Magnetism by : Claudine Lacroix
Download or read book Introduction to Frustrated Magnetism written by Claudine Lacroix and published by Springer Science & Business Media. This book was released on 2011-01-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.
Book Synopsis Exotic Quantum Magnetism and Superfluidity in Optical Lattices by : Hsiang-Hsuan Hung
Download or read book Exotic Quantum Magnetism and Superfluidity in Optical Lattices written by Hsiang-Hsuan Hung and published by . This book was released on 2011 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The progress of ultracold atoms renders numerous possibilities to investigate exotic magnetism and superfluidity, which are rarely observed in solid state systems. In this thesis, we will introduce two novel physical descriptions: "frustrated Cooper pairing" and "large-hyperfine spin physics". Geometric frustration in quantum magnetism refers to which magnetic interactions on different bonds cannot be simultaneously minimized, and usually Cooper pairing favors uniform phases among different lattice sites. Here, we introduce "frustration" in Cooper pairing in a fermionic p-orbital model. By mean-field calculations, we show that the system exhibits behavior analogous to frustrated magnetism, and an unconventional supersolid state with the f-wave symmetry. Next, we introduce large-spin physics. In usual condensed matter systems, large spin is not intriguing because large values of spin suppress quantum fluctuations. In contrast, in ultracold fermion systems, large-hyperfine spin enhances quantum fluctuations and brings exotic quantum magnetism. Here the simplest large-spin fermionic system, a spin-3/2 exchange system is proposed, which can be characterized by an Sp(4)/SO(5) symmetry. In one dimension, the ground states exhibit either a dimerized state with a finite spin gap or a gapless spin liquid state by means of the density matrix renormalization group method. In the latter case, the spin-spin correlation functions are identified to have 4-site periodicities, which behaves similarly to the SU(4) chain. In two dimension, we infer that there exist three competing phases: Neel ordering, columnar dimerization and 2 x 2 plaquette formation, in the thermodynamic limit by exact diagonalization calculation on small sizes. Finally we perform the projector Quantum Monte Carlo method to study another large-spin system: the half-filled SU(N) Hubbard model. We show that at half-filling there is no sign problem such that our simulations are accurate. By finite size scaling, it is clearly found that the magnetic Neel ordering can exist not only for N = 2 but also in the N = 4 case at strong interactions. For N>̲ 6 or N = 4 at small U, the numerical results do not have any prominent signal that the long-range ordering exists in the thermodynamic limit. Due to strong finite size effects and finite numerical accuracy, however, we are unable to make any conclusion to identify the physics in the regimes.
Book Synopsis Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter by : Harley Scammell
Download or read book Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter written by Harley Scammell and published by Springer. This book was released on 2018-08-28 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores critical phenomena in highly correlated quantum matter. Specifically, quantum antiferromagnets, magnon Bose condensates, and systems exhibiting deconfined quantum criticality are considered. The book’s main achievement is the incorporation of both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena. This yields significant new insights into an abundance of problems, positions them in a much more general context, and offers an unprecedented power to analyze experimental and numerical data and predict new effects. Further, a major result and overarching theme is the exploration of the scale-dependent coupling constant – an effect known in quantum chromodynamics as “asymptotic freedom.” The book provides the first analysis to reveal asymptotic freedom in the quantum magnetism context, and discusses many other manifestations. Another significant result concerns the development of a consistent theoretical framework that resolves a long-standing inconsistency in the theory of Bose condensation. Using the approach developed here, two new universality classes are subsequently identified. A final major result addresses the exotic scenario of deconfined quantum criticality. Within this framework, the book predicts the Bose condensation of particles with half-integer spin – the first- ever made in this regard. In closing, a smoking gun criterion to test for this exotic condensate is established.
Book Synopsis Quantum Theory of Condensed Matter by : Bertrand Halperin
Download or read book Quantum Theory of Condensed Matter written by Bertrand Halperin and published by World Scientific. This book was released on 2010 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special session : On the quantum theory of condensed matter / B. Halperin -- Session 1 : Mesoscopic and disordered systems / Chair : D. Loss -- Session 2 : Exotic phases and quantum phase transitions in model systems / Chair : A. Georges -- Session 3 : Experimentally realized correlated-electron materials / Chair : M. Rice -- Session 4 : Quantum hall systems, and one-dimensional systems / Chair : J. Chalker -- Session 5 : Systems of ultra-cold atoms, and advanced computational methods / Chair : P. Zoller -- Closing Session : Chair of the conference Bertrand Halperin.
Book Synopsis Condensed Matter Theories - Proceedings of the 33rd International Workshop by : Eduardo V. Ludena
Download or read book Condensed Matter Theories - Proceedings of the 33rd International Workshop written by Eduardo V. Ludena and published by World Scientific. This book was released on 2011-03-04 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The orientation and physical context of the CMT Series of Workshops have always been cross-disciplinary, but with an emphasis placed on the common concerns of theorists applying many-particle concepts in diverse areas of physics. In this spirit, CMT33 chose to focus special attention on exotic fermionic and bosonic systems, quantum magnets and their quantum and thermal phase transitions, novel condensed matter systems for renewable energy sources, the physics of nanosystems and nanotechnology, and applications of molecular dynamics and density functional theory.
Book Synopsis Characterizing Ground States of Low-dimensional Quantum Magnets by : Hyejin Ju
Download or read book Characterizing Ground States of Low-dimensional Quantum Magnets written by Hyejin Ju and published by . This book was released on 2013 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of frustration in quantum magnetism has been the focus of extensive research in the past couple of decades. The class of materials in this category is typically strongly correlated, due to strong electron-electron repulsion. In one- and two-dimensions, quantum fluctuations dominate these systems, and often, semi-classical approximations become an oversimplification. This thesis is concerned with exploring exotic physics that can emerge in low-dimensional quantum magnets. First, we use a T = 0 projected Monte Carlo algorithm in the valence bond basis to study the entanglement scaling of two-dimensional (2d) gapless systems. In particular, we focus on the resonating-valence-bond wavefunction as well as the gapless Goldstone mode in the Heisenberg model on the square lattice. We find that, in addition to the area law, there is a subleading, shape-dependent piece to the entanglement entropy, which is reminiscent of one dimensional (1d) gapless systems. We then explore the Heisenberg model under an applied magnetic field on the quasi-1d problem of a three-leg triangular spin tube (TST), using extensive density-matrix-renormalization group calculations coupled with analytical arguments to describe the results. We find that the physics describing this model differs from some of the well-known results on the two dimensional lattice, especially near low magnetic fields and at 1/3 magnetization. Finally, further research and possibilities in numerical techniques are discussed.
Book Synopsis Three-dimensional Frustrated Quantum Magnets by : SungBin Lee
Download or read book Three-dimensional Frustrated Quantum Magnets written by SungBin Lee and published by . This book was released on 2012 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frustration, induced by competition between different interactions, can be realized on a diamond lattice, especially in A-site of spinel materials with a chemical formula AB2X4. We address the realization of classical spin liquid and provide a unified theoretical explanation of various phenomena observed in spinel materials. Motivated by CoNb2O6, we study interplay between quantum criticality and geometric frustration. In the presence of carefully oriented magnetic field, the system realizes quantum phase transition of transverse field quantum Ising model while magnetic frustration exists due to the lattice geometry at the same time. We reveal several quantum magnetic phases and crossovers between one dimensional quantum criticality and several three dimensional quantum critical points. Lastly, we look for the possible realization of a quantum spin liquid focusing on A-site magnets in rare-earth pyrochlores. Based on a pseudospin-1/2 Hamiltonian, we discuss how quantum fluctuations lead the exotic phases such as a U(1) quantum spin liquid and XY ordered phases, beyond classical spin ice state.
Book Synopsis Exploration of Quantum Transport Phenomena Via Engineering Emergent Magnetic Fields in Topological Magnets by : Yukako Fujishiro
Download or read book Exploration of Quantum Transport Phenomena Via Engineering Emergent Magnetic Fields in Topological Magnets written by Yukako Fujishiro and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses novel electronic and thermoelectronic properties arising from topological spin textures as well as topologically non-trivial electronic structures. In particular, it focuses on a unique topological spin texture, i.e., spin hedgehog lattice, emerging in a chiral magnet and explore its novel properties which are distinct from the conventional skyrmion lattice, and discusses the possibility of realizing high-temperature quantum anomalous Hall effect through quantum confinement effect in topological semimetal. This book benefits students and researchers working in the field of condensed matter physics, through providing comprehensive understanding of the current status and the outlook in the field of topological magnets.
Book Synopsis Condensed Matter Theories, Volume 25 - Proceedings Of The 33rd International Workshop by : Eduardo V Ludena
Download or read book Condensed Matter Theories, Volume 25 - Proceedings Of The 33rd International Workshop written by Eduardo V Ludena and published by World Scientific. This book was released on 2011-03-04 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The orientation and physical context of the CMT Series of Workshops have always been cross-disciplinary, but with an emphasis placed on the common concerns of theorists applying many-particle concepts in diverse areas of physics. In this spirit, CMT33 chose to focus special attention on exotic fermionic and bosonic systems, quantum magnets and their quantum and thermal phase transitions, novel condensed matter systems for renewable energy sources, the physics of nanosystems and nanotechnology, and applications of molecular dynamics and density functional theory./a
Book Synopsis Magnetic Field Effects in Low-Dimensional Quantum Magnets by : Adam Iaizzi
Download or read book Magnetic Field Effects in Low-Dimensional Quantum Magnets written by Adam Iaizzi and published by Springer. This book was released on 2018-12-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is a tour-de-force combination of analytic and computational results clarifying and resolving important questions about the nature of quantum phase transitions in one- and two-dimensional magnetic systems. The author presents a comprehensive study of a low-dimensional spin-half quantum antiferromagnet (the J-Q model) in the presence of a magnetic field in both one and two dimensions, demonstrating the causes of metamagnetism in such systems and providing direct evidence of fractionalized excitations near the deconfined quantum critical point. In addition to describing significant new research results, this thesis also provides the non-expert with a clear understanding of the nature and importance of computational physics and its role in condensed matter physics as well as the nature of phase transitions, both classical and quantum. It also contains an elegant and detailed but accessible summary of the methods used in the thesis—exact diagonalization, Monte Carlo, quantum Monte Carlo and the stochastic series expansion—that will serve as a valuable pedagogical introduction to students beginning in this field.
