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Author : Tyler Dodds
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (977 download)
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:
Author : Ido Amran Niesen
Publisher :
ISBN 13 : 9789402811728
Total Pages : 164 pages
Book Rating : 4.8/5 (117 download)
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.
Author : Jason Alicea
Publisher : ProQuest
ISBN 13 : 9780549152729
Total Pages : 284 pages
Book Rating : 4.1/5 (527 download)
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.
Author : Samuel Patrick Michael Curley
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (132 download)
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:
Author : Julien Dorier
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (428 download)
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:
Author : Urban F. P. Seifert
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)
Download or read book Novel Phases and Light-induced Dynamics in Quantum Magnets written by Urban F. P. Seifert and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel C Mattis
Publisher : World Scientific Publishing Company
ISBN 13 : 9813102225
Total Pages : 585 pages
Book Rating : 4.8/5 (131 download)
Download or read book Theory Of Magnetism Made Simple, The: An Introduction To Physical Concepts And To Some Useful Mathematical Methods written by Daniel C Mattis and published by World Scientific Publishing Company. This book was released on 2006-03-10 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new version of a classic updates much of the material in earlier editions, including the first chapter, on the history of the field. Important modifications reflect major discoveries of the past decades. A historical perspective is maintained throughout. The reader is drawn into the process of discovery: starting with a phenomenon, finding plausible explanations and competing theories — and finally, the solution.The theory of magnetism is practically a metaphor for theoretical physics. The very first quantum many-body theory (Bethe's ansatz) was devised for magnetic chains, just as mean-field theory was invented a century ago by Weiss to explain Curie's Law.The first two chapters of this book are immensely readable, taking us from prehistory to the “spin valves” of the most recent past. Topics in subsequent chapters include: angular momenta and spin (Chapter 3), quantum theory of simple systems, followed by increasingly technical insights into ordered and random systems, thermal fluctuations, phase transitions, chaos and the like. Contemporary developments in nanotechnology now seek to take advantage of the electron's spin as well as of its charge. The time is not far off when nano-circuits made entirely of silicon exhibit such many-body properties as superconductivity or ferromagnetism — without any superconducting materials or magnetic ions being present. The reader of this book will be prepared for such exotic twenty-first century applications.Daniel C Mattis, BS, MS, PhD, Fellow of the American Physical Society (APS), is a frequent lecturer at research institutions and the author of several textbooks and numerous research articles. His expertise includes many-body theory, electrical conductivity, quantum theory of magnetism and most recently, nanotechnology. Prof. Mattis is on the editorial panel for high-temperature superconductivity of the International Journal of Modern Physics B and Modern Physics Letters B, both published by World Scientific. Currently serving as Professor in the Physics department at the University of Utah in Salt Lake City, Utah, USA, at various times he has been visiting Professor at Yale University (New Haven), State University of New York (Buffalo), Temple University (Philadelphia), and served as “Wei-Lun Visiting Professor” at the Chinese University of Hong Kong. A founding member of the “Few-Body Physics” section of the APS, he has also served as Chair of the standing committee of the APS for the “International Freedom of Scientists.”
Author : Harley Scammell
Publisher : Springer
ISBN 13 : 3319975323
Total Pages : 175 pages
Book Rating : 4.3/5 (199 download)
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.
Author : Eugene M. Chudnovsky
Publisher : Cambridge University Press
ISBN 13 : 0521474043
Total Pages : 189 pages
Book Rating : 4.5/5 (214 download)
Download or read book Macroscopic Quantum Tunneling of the Magnetic Moment written by Eugene M. Chudnovsky and published by Cambridge University Press. This book was released on 1998-08-28 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book presenting a coherent theoretical and experimental treatment of the rapidly developing field of macroscopic quantum tunneling of the magnetic moment. The theory is based on the concept of the magnetic instanton and its renormalization by the dissipative environment. The book includes discussions of the tunneling of magnetic moment in small ferromagnetic grains, tunneling of the Ne'el vector in antiferromagnetic grains, quantum nucleation of magnetic domains, and quantum depinning of domain walls. The experimental part collects the majority of recent data that are, or may be, relevant to spin tunneling. Among the topics described are low temperature magnetic relaxation and its interpretation in various systems, experiments on single particles and mesoscopic wires, and resonant spin tunneling in molecular magnets. This study of an important new field in condensed matter physics by two leading contributors to the subject will be of interest to theorists and experimentalists alike.
Author : Hyejin Ju
Publisher :
ISBN 13 : 9781303052262
Total Pages : 196 pages
Book Rating : 4.0/5 (522 download)
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.
Author : Hsiang-Hsuan Hung
Publisher :
ISBN 13 : 9781124841243
Total Pages : 179 pages
Book Rating : 4.8/5 (412 download)
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.
Author : Adhip Agarwala
Publisher :
ISBN 13 : 9783030215125
Total Pages : 163 pages
Book Rating : 4.2/5 (151 download)
Download or read book Excursions in Ill-Condensed Quantum Matter written by Adhip Agarwala and published by . This book was released on 2019 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impurities, disorder or amorphous systems - ill-condensed matter - are mostly considered inconveniences in the study of materials, which is otherwise heavily based on idealized perfect crystals. The Kondo effect and the scaling theory of localization are among the fundamental and early discoveries which revealed the novelty hidden in impure or disordered systems. Recent advances in condensed matter physics have emphasized the role of topology, spin-orbit coupling, and certain discrete symmetries such as time reversal in many physical phenomena. These have irreversibly transformed the essential ideas and purview of condensed matter physics, both in theoretical and experimental directions. However, many of these recent developments and their implications are limited to, or by, ideas that pertain to clean systems. This thesis deals with various aspects of these new developments, but in the case of unclean systems. The author introduces new ideas such as amorphous topological insulators, fractalized metals and fractionalized spins.
Author : Eduardo V. Ludena
Publisher : World Scientific
ISBN 13 : 9814340790
Total Pages : 417 pages
Book Rating : 4.8/5 (143 download)
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.
Author : S. Tyablikov
Publisher : Springer
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.F/5 ( download)
Download or read book Methods in the Quantum Theory of Magnetism written by S. Tyablikov and published by Springer. This book was released on 1967 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. E. Volovik
Publisher : World Scientific
ISBN 13 : 9789810207052
Total Pages : 236 pages
Book Rating : 4.2/5 (7 download)
Download or read book Exotic Properties of Superfluid 3He written by G. E. Volovik and published by World Scientific. This book was released on 1992 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the unique properties of superfluid phases of 3He, the condensed matter with the outmost broken symmetry, which combine in a surprising way the properties of ordered magnets, liquid crystals and superfluids. The complicated vacuum state of these phases with a large number of fermionic and bosonic quasiparticles and topological objects remains the vacuum in modern quantum field theories. Some of the objects and physical phenomena in 3He have strong analogy with the neutrino, W-bosons, weak interactions, gravity, chiral anomaly, Quantum Hall Effect and fractional statistics. As an example of topological objects, the quantized vortices in 3He phases are discussed in detail, including singular and continuous vortices, half-quantum vortices, broken symmetry in the vortex core and phase transitions between the vortex states with different symmetry and topology.
Author : Boris A. Berdnikov
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (397 download)
Download or read book Quantum Magnets with an SO(n) Symmetry written by Boris A. Berdnikov and published by . This book was released on 1998 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julien Sudan
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (731 download)
Download or read book Uncovering the Physics of Frustrated Quantum Magnets Using the Correlation Density Matrix Approach written by Julien Sudan and published by . This book was released on 2010 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
