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Local Moment Phases In Quantum Impurity Problems
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Book Synopsis Understanding Quantum Phase Transitions by : Lincoln Carr
Download or read book Understanding Quantum Phase Transitions written by Lincoln Carr and published by CRC Press. This book was released on 2010-11-02 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit
Book Synopsis Quantum Impurity Problems in the Framework of Natural Orbitals by : Maxime Debertolis
Download or read book Quantum Impurity Problems in the Framework of Natural Orbitals written by Maxime Debertolis and published by Springer Nature. This book was released on 2024-01-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete study of natural orbitals in quantum impurity problems, revealing a certain simplicity in these interacting many-body problems. These systems consist of a few localized degrees of freedom that undergo strong interactions and hybridize with a larger system of free particles; they are central in the study of strongly correlated systems. In a first step, the standard non-perturbative numerical renormalization group method is employed to demonstrate the hierarchical structure of correlations unveiled by natural orbitals. This simplification brought new insights for simulating quantum impurity problems, and a new algorithm is developed to generate an optimized subset of natural orbitals independently of existing methods, going beyond their usual limitations. This algorithm is presented in detail in the book, and a careful benchmark on known results is carried out to guarantee the validity of the method. It is then used to study spatial entanglement structures under various conditions that were not accessible with previous methods, such as representing the electron bath by a realistic 2D square lattice or taking account of static disorder in the metallic host. In the last chapter, the non-interacting problem in the presence of disorder is studied through random matrix theory, reproducing some of the results presented in the previous chapters. The main original result of this chapter lies in the analytical calculation of the joint distribution of one-particle orbitals energies and amplitudes of the impurity, which makes it possible to calculate any disordered averaged local correlation functions. Starting from this result, calculations in the large-N limit are compared with numerical simulations.
Book Synopsis Conductor Insulator Quantum Phase Transitions by : Vladimir Dobrosavljevic
Download or read book Conductor Insulator Quantum Phase Transitions written by Vladimir Dobrosavljevic and published by Oxford University Press. This book was released on 2012-06 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: When many particles come together how do they organize themselves? And what destroys this organization? Combining experiments and theory, this book describes intriguing quantum phases - metals, superconductors and insulators - and transitions between them. It captures the excitement and the controversies on topics at the forefront of research.
Book Synopsis Magnetism And Electronic Correlations In Local-moment Systems: Rare-earth Elements And Compounds by : M Donath
Download or read book Magnetism And Electronic Correlations In Local-moment Systems: Rare-earth Elements And Compounds written by M Donath and published by World Scientific. This book was released on 1998-12-24 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay of magnetism and electronic correlations dominates the physical properties of many rare-earth elements and their compounds. The investigation of the mutual influence of the localized 4f electrons and itinerant band electrons represents a challenging task in theoretical as well as experimental physics. Research areas of current interest are the electronic structure as determined from calculations and spectroscopies, the magnetic properties in three- and low-dimensional systems, open questions concerning transport such as spin disorder resistivity, and the influence of structure and morphology.
Book Synopsis Electron Correlation in Molecules and Condensed Phases by : Norman H. March
Download or read book Electron Correlation in Molecules and Condensed Phases written by Norman H. March and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book had its origins in lectures presented at EPFL, Lausanne, during two separate visits (the most recent being to IRRMA). The author is most grateful to Professors A. Baldereschi, R. Car, and A. Quattropani for making these visits possible, and for the splendidly stimulating environment provided. Professors S. Baroni and R. Resta also influenced considerably the presentation of material by constructive help and comments. Most importantly, Chapters 4 and 5 were originally prepared for a review article by Professor G. Senatore, then at Pavia and now in Trieste, and myself for Reviews of Modem Physics (1994). In the 'course of this collaboration, he has taught me a great deal, especially about quantum Monte Carlo procedures, and Chapter 5 is based directly on this review article. Also in Chapter 4, my original draft on Gutzwiller's method has been transformed by his deeper understanding; again this is reflected directly in Chapter 4; especially in the earlier sections. In addition to the above background, it is relevant here to point out that, as a backcloth for the present, largely "state of the art," account, there are two highly relevant earlier books: The Many-body Problem in Quantum Mechanics with W.
Book Synopsis Theoretical Methods for Strongly Correlated Electrons by : David Sénéchal
Download or read book Theoretical Methods for Strongly Correlated Electrons written by David Sénéchal and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.
Book Synopsis Quantum Scaling in Many-Body Systems by : Mucio Continentino
Download or read book Quantum Scaling in Many-Body Systems written by Mucio Continentino and published by Cambridge University Press. This book was released on 2017-04-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phase transitions are strongly relevant in a number of fields, ranging from condensed matter to cold atom physics and quantum field theory. This book, now in its second edition, approaches the problem of quantum phase transitions from a new and unifying perspective. Topics addressed include the concepts of scale and time invariance and their significance for quantum criticality, as well as brand new chapters on superfluid and superconductor quantum critical points, and quantum first order transitions. The renormalisation group in real and momentum space is also established as the proper language to describe the behaviour of systems close to a quantum phase transition. These phenomena introduce a number of theoretical challenges which are of major importance for driving new experiments. Being strongly motivated and oriented towards understanding experimental results, this is an excellent text for graduates, as well as theorists, experimentalists and those with an interest in quantum criticality.
Book Synopsis Particles, Quantum Groups, High Tc, Phase Transitions And All That - Proceedings Of The First Yanbrian International Workshop On Modern Physics by : Kyungsik Kang
Download or read book Particles, Quantum Groups, High Tc, Phase Transitions And All That - Proceedings Of The First Yanbrian International Workshop On Modern Physics written by Kyungsik Kang and published by World Scientific. This book was released on 1991-06-05 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are the culmination of the First Yanbian Workshop on Modern Physics, an epoch making event in Korean history that took place in Yanbian, China during 15-18 July, 1990. The meeting was instrumental to bring the active practitioners in the frontier physic together from many parts of the world including for the first time, those from North Korea. This volume contains the most important lectures by experts in Particle Physics, Conformal Field Theory, High-Tc Superconductivity, Phase Transitions, Medium Energy Physics, Astrophysics and Cosmology.
Book Synopsis The Quantum Nature Of Materials by : Antonio H Castro Neto
Download or read book The Quantum Nature Of Materials written by Antonio H Castro Neto and published by World Scientific. This book was released on 2021-11-16 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book takes the reader on a journey from the basic facts about atoms to topics at the forefront of current condensed matter research, giving students a broad view of materials science.The contents grew out of the lectures on solid state physics given to both theorists and experimentalists in the US who had little previous background in the area. The topics are of direct relevance for the interpretation of experimental data. Even if they may not be of chronological order, their universality is emphasized. The mathematics is simplified without sacrificing precision, providing an intuitive understanding of the phenomena discussed.The book is easily accessible to any mathematically inclined scientist or engineer with a basic knowledge of quantum mechanics.
Book Synopsis From Phase Transitions to Chaos by : Gza Gyrgyi
Download or read book From Phase Transitions to Chaos written by Gza Gyrgyi and published by World Scientific. This book was released on 1992 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises about forty research papers and essays covering a wide range of subjects in the forefront of contemporary statistical physics. The contributors are renown scientists and leading authorities in several different fields. This book is dedicated to Pter Szpfalusy on the occasion of his sixtieth birthday. Emphasis is placed on his two main areas of research, namely phase transitions and chaotic dynamical systems, as they share common aspects like the applicability of the probabilistic approach or scaling behaviour and universality. Several papers deal with equilibrium phase transitions, critical dynamics, and pattern formation. Also represented are disordered systems, random field systems, growth processes, and neural network. Statistical properties of interacting electron gases, such as the Kondo lattice, the Wigner crystal, and the Hubbard model, are treated. In the field of chaos, Hamiltonian transport and resonances, strange attractors, multifractal characteristics of chaos, and the effect of weak perturbations are discussed. A separate section is devoted to selected mathematical aspects of dynamical systems like the foundation of statistical mechanics, including the problem of ergodicity, and rigorous results on quantum chaos.
Book Synopsis Excursions in Ill-Condensed Quantum Matter by : Adhip Agarwala
Download or read book Excursions in Ill-Condensed Quantum Matter written by Adhip Agarwala and published by Springer. This book was released on 2019-06-13 with total page 177 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.
Book Synopsis High Performance Computing in Science and Engineering, Garching/Munich 2009 by : Siegfried Wagner
Download or read book High Performance Computing in Science and Engineering, Garching/Munich 2009 written by Siegfried Wagner and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Leibniz Supercomputing Centre (LRZ) and the Bavarian Competence Network for Technical and Scienti?c High Performance Computing (KONWIHR) publish in the present book results of numerical simulations facilitated by the High P- formance Computer System in Bavaria (HLRB II) within the last two years. The papers were presented at the Fourth Joint HLRB and KONWIHR Review and - sult Workshop in Garching on 8th and 9th December 2009, and were selected from all progress reports of projects that use the HLRB II. Similar to the workshop two years ago, the majority of the contributed papers belong to the area of computational ?uid dynamics (CFD), condensed matter physics, astrophysics, chemistry, computer sciences and high-energy physics. We note a considerable increase of the user c- munity in some areas: Compared to 2007, the number of papers increased from 6 to 12 in condensed matter physics and from 2 to 5 in high-energy physics. Bio s- ences contributed only one paper in 2007, but four papers in 2009. This indicates that the area of application of supercomputers is continuously growing and entering new ?elds of research. The year 2007 saw two major events of particular importance for the LRZ. First, after a substantial upgrade with dual-core processors the SGI Altix 4700 superc- puter reached a peak performance of more than 62 Tera?op/s. And second, the n- pro?t organization Gauss Centre for Supercomputing e. V. (GCS) was founded on April 13th.
Book Synopsis Concepts in Electron Correlation by : Alex C. Hewson
Download or read book Concepts in Electron Correlation written by Alex C. Hewson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO sponsored Advanced Research Workshop on "Concepts in Electron Correlation" took place on the Croatian island of Hvar during the period from the 29th of September to the 3rd of October, 2002. The topic of electron correlation is a fundamental one in the field of condensed matter, and one that is being very actively studied both experimentally and theoretically at the present time. The manifestations of electron cor relation are diverse, and play an important role in systems ranging from high temperature superconductors, heavy fermions, manganite compounds with colossal magnetoresistance, transition metal compounds with metal insulator transitions, to mesoscopic systems and quantum dots. The aim of the workshop was to provide an opportunity for a dialogue between exper imentalists and theoreticians to assess the current state of understanding, and to set an agenda for future work. There was also a follow-up workshop on the same topic where the presentations included more background and introductory material for younger researchers in the field. The papers presented in these proceedings clearly demonstrate the di versity of current research on electron correlation. They show that real progress is being made in characterising systems experimentally and in developing theoretical approaches for a quantitative comparison with ex periment. The more one learns, however, the more there is to understand, and many of the contributions help to map out the territory which has yet to be explored. We hope that the articles in this volume will be a stimulus for such future work.
Book Synopsis Nonequilibrium Physics at Short Time Scales by : Klaus Morawetz
Download or read book Nonequilibrium Physics at Short Time Scales written by Klaus Morawetz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory level text addresses the broad range of nonequilibrium phenomena observed at short time scales. It focuses on the important questions of correlations and memory effects in dense interacting systems. Experiments on very short time scales are characterized, in particular, by strong correlations far from equilibrium, by nonlinear dynamics, and by the related phenomena of turbulence and chaos. The impressive successes of experiments using pulsed lasers to study the properties of matter and of the new methods of analysis of the early phases of heavy ion reactions have necessitated a review of the available many-body theoretical methods. The aim of this book is thus to provide an introduction to the experimental and theoretical methods that help us to understand the behaviour of such systems when disturbed on very short time scales.
Book Synopsis Selected Papers Of J Robert Schrieffer In Celebration Of His 70th Birthday by : Nicholas E Bonesteel
Download or read book Selected Papers Of J Robert Schrieffer In Celebration Of His 70th Birthday written by Nicholas E Bonesteel and published by World Scientific. This book was released on 2002-11-25 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is a selection of papers by theoretical physicist and Nobel laureate J Robert Schrieffer. In addition to his Nobel Prize-winning work in superconductivity, Prof Schrieffer has made significant contributions to a wide variety of topics in condensed matter physics. These include the theory of soliton excitations in polyacetylene (a clear example of spin-charge separation in a condensed matter system), paramagnon theory, magnetic impurities, the physics of surfaces, high-Tc superconductivity, and the fractional quantum Hall effect.The papers are reviewed and placed in context by leading experts. The guest contributors are A Alexandrov (on electrons and phonons), T Einstein (on surfaces,) S Kivelson (on quantum Hall effect), D Scalapino (on the BCS theory of superconductivity), F Wilczek (on solitons and fractional quantum numbers), J W Wilkins (on magnetic impurities) and S C Zhang (on high-Tc superconductivity).
Book Synopsis Electronic Structure and Magneto-Optical Properties of Solids by : Victor Antonov
Download or read book Electronic Structure and Magneto-Optical Properties of Solids written by Victor Antonov and published by Springer Science & Business Media. This book was released on 2006-05-05 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to review recent achievements in thetheoretical investigations of the electronic structure, optical, magneto-optical (MO), and x-ray magnetic circular dichroism (XMCD)properties of compounds and Multilayered structures.Chapter 1 of this book is of an introductory character and presentsthe theoretical foundations of the band theory of solids such as thedensity functional theory for ground state properties of solidsincluding local density approximation (LDA). It also presents somemodifications to the LDA, such as gradient correction, self-interaction correction, LDA+U method, orbital polarizationcorrection, GW approximation, and dynamical mean- field theory. Thedescription of the magneto-optical effects and linear response theoryare also presented.The book describes the MO properties for a number of 3d materials, such as elemental ferromagnetic metals (Fe, Co and Ni) andparamagnetic metals in external magnetic fields (Pd and Pt), someimportant 3d compounds such as XPt3 (X=V, Cr, Mn, Fe and Co), Heusleralloys, chromium spinel chalcogenides, MnB and strongly correlatedmagnetite Fe304. It also describes the recent achievements in both theexperimental and theoretical investigations of the electronicstructure, optical and MO properties of transition metal multilayeredstructures (MLS).The book presents also the MO properties of f band ferromagneticmaterials: Tm, Nd, Sm, Ce and La monochalcogenides, some important Y
Book Synopsis Bose-einstein Condensation in Spin Dimer Compounds by : Suchitra E. Sebastian
Download or read book Bose-einstein Condensation in Spin Dimer Compounds written by Suchitra E. Sebastian and published by . This book was released on 2006 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
