Strongly Correlated Fermi Systems

Author : Miron Amusia,Vasily Shaginyan
Publisher : Springer Nature
Page : 385 pages
File Size : 49,9 Mb
Release : 2020-07-16
Category : Technology & Engineering
ISBN : 9783030503598

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Strongly Correlated Fermi Systems by Miron Amusia,Vasily Shaginyan Pdf

This book focuses on the topological fermion condensation quantum phase transition (FCQPT), a phenomenon that reveals the complex behavior of all strongly correlated Fermi systems, such as heavy fermion metals, quantum spin liquids, quasicrystals, and two-dimensional systems, considering these as a new state of matter. The book combines theoretical evaluations with arguments based on experimental grounds demonstrating that the entirety of very different strongly correlated Fermi systems demonstrates a universal behavior induced by FCQPT. In contrast to the conventional quantum phase transition, whose physics in the quantum critical region are dominated by thermal or quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT are controlled by a system of quasiparticles resembling the Landau quasiparticles. The book discusses the modification of strongly correlated systems under the action of FCQPT, representing the “missing” instability, which paves the way for developing an entirely new approach to condensed matter theory; and presents this physics as a new method for studying many-body objects. Based on the authors’ own theoretical investigations, as well as salient theoretical and experimental studies conducted by others, the book is well suited for both students and researchers in the field of condensed matter physics.

Author : Miron Amusia,Konstantin Popov,Vasily Shaginyan
Publisher : Unknown
Page : 384 pages
File Size : 40,7 Mb
Release : 2014-11-30
Category : Electronic
ISBN : 3319108263

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Theory of Heavy-Fermion Compounds by Miron Amusia,Konstantin Popov,Vasily Shaginyan Pdf

Author : Miron Ya. Amusia,Konstantin G. Popov,Vasily R. Shaginyan,Vladimir A. Stephanovich
Publisher : Springer
Page : 359 pages
File Size : 48,6 Mb
Release : 2014-10-25
Category : Science
ISBN : 9783319108254

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Theory of Heavy-Fermion Compounds by Miron Ya. Amusia,Konstantin G. Popov,Vasily R. Shaginyan,Vladimir A. Stephanovich Pdf

This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the framework of the theory of fermion condensation quantum phase transition (FCQPT). Upon reading the book, the reader finds that HF compounds with quite different microscopic nature exhibit the same non-Fermi liquid behavior, while the data collected on very different HF systems have a universal scaling behavior, and these compounds are unexpectedly uniform despite their diversity. For the reader's convenience, the analysis of compounds is carried out in the context of salient experimental results. The numerous calculations of the non-Fermi liquid behavior, thermodynamic, relaxation and transport properties, being in good agreement with experimental facts, offer the reader solid grounds to learn the theory's applications. Finally, the reader will learn that FCQPT develops unexpectedly simple, yet completely good description of HF compounds.

Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer
Page : 302 pages
File Size : 41,7 Mb
Release : 2014-10-01
Category : Science
ISBN : 9783662441336

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Strongly Correlated Systems by Adolfo Avella,Ferdinando Mancini Pdf

The continuous evolution and development of experimental techniques is at the basis of any fundamental achievement in modern physics. Strongly correlated systems (SCS), more than any other, need to be investigated through the greatest variety of experimental techniques in order to unveil and crosscheck the numerous and puzzling anomalous behaviors characterizing them. The study of SCS fostered the improvement of many old experimental techniques, but also the advent of many new ones just invented in order to analyze the complex behaviors of these systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. The volume presents a representative collection of the modern experimental techniques specifically tailored for the analysis of strongly correlated systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for any other researcher in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Author : Igor V. Lerner,Boris L. Althsuler,Vladimir I. Fal'ko,Thierry Giamarchi
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401005302

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Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems by Igor V. Lerner,Boris L. Althsuler,Vladimir I. Fal'ko,Thierry Giamarchi Pdf

The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.

Author : Alexander O. Gogolin,Alexander A. Nersesyan,Alexei M. Tsvelik
Publisher : Cambridge University Press
Page : 452 pages
File Size : 46,8 Mb
Release : 2004-12-16
Category : Science
ISBN : 9780521617192

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Bosonization and Strongly Correlated Systems by Alexander O. Gogolin,Alexander A. Nersesyan,Alexei M. Tsvelik Pdf

Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.

Author : Adolfo Avella,Ferdinando Mancini
Publisher : American Institute of Physics
Page : 288 pages
File Size : 55,9 Mb
Release : 2008-06-05
Category : Science
ISBN : UCSD:31822030083885

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Lectures on the Physics of Strongly Correlated Systems XII by Adolfo Avella,Ferdinando Mancini Pdf

The volume contains the lectures delivered at the XII Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2007. The focus of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: Quantum Magnetism (Independent spins and Weiss meanfield theory; Finite Heisenberg clusters; Linear spin-wave theory; Classical and quantum Monte Carlo; Entanglement in quantum spin systems); Nanomagnets and Entanglement (The Dynamical Mean Field and Cluster Approximations; Quantum Monte Carlo Algorithms for the Quantum Cluster Problem; Analytic Continuation of Quantum Monte Carlo Data); The Dynamical Cluster Approximation with Quantum Monte Carlo Cluster Solvers (Fermi liquids; Fermi-liquid instabilities at quantum phase transitions: theory; Fermi-liquid instabilities at quantum phase transitions: experiment; Metal-insulator transition in heavily doped semiconductors); Quantum phase transitions; Correlated thermoelectric (Phenomenological equations; Physical interpretation; Solution of transport equations; Linear response theory; Current operators; Mahan-Jonson theorem; Microscopic solution for transport coefficients).

Author : Onuki Yoshichika
Publisher : World Scientific
Page : 336 pages
File Size : 40,5 Mb
Release : 2018-04-20
Category : Science
ISBN : 9789813232211

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Physics Of Heavy Fermions: Heavy Fermions And Strongly Correlated Electrons Systems by Onuki Yoshichika Pdf

A large variety of materials prove to be fascinating in solid state and condensed matter physics. New materials create new physics, which is spearheaded by the international experimental expert, Prof Yoshichika Onuki. Among them, the f electrons of rare earth and actinide compounds typically exhibit a variety of characteristic properties, including spin and charge orderings, spin and valence fluctuations, heavy fermions, and anisotropic superconductivity. These are mainly manifestations of better competitive phenomena between the RKKY interaction and the Kondo effect. The present text is written so as to understand these phenomena and the research they prompt. For example, superconductivity was once regarded as one of the more well-understood many-body problems. However, it is, in fact, still an exciting phenomenon in new materials. Additionally, magnetism and superconductivity interplay strongly in heavy fermion superconductors. The understanding of anisotropic superconductivity and magnetism is a challenging problem in solid state and condensed matter physics. This book will tackle all these topics and more. Contents: Conduction Electrons and Fermi Surfaces Local Magnetic Moment Single Crystal Growth and Measuring Methods Itinerant 3d-electrons Heavy Fermions Superconductivity Readership: Graduate students and researchers interested and/or involved in single crystal growth, heavy fermions, superconductivity and related experimental methods. Keywords: Heavy Fermions;Strongly Correlated Electrons Systems;Magnetism;SuperconductivityReview: Key Features: Readers can understand the present frontiers of solid state and condensed matter physics, on the basis of fundamental ideas and formulae described in various related methods of measurement This paves the way for readers to participate in research concerning single crystal growth and characteristic properties in rare earth and actinide compounds

Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 49,9 Mb
Release : 2011-11-01
Category : Science
ISBN : 9783642218316

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Strongly Correlated Systems by Adolfo Avella,Ferdinando Mancini Pdf

The volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Author : Janez Bonca,Peter Prelovsek,Anton Ramsak,Sarben Sarkar
Publisher : Springer Science & Business Media
Page : 451 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401007719

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Open Problems in Strongly Correlated Electron Systems by Janez Bonca,Peter Prelovsek,Anton Ramsak,Sarben Sarkar Pdf

Proceedings of the NATO Advanced Research Workshop, Bled, Slovenia, 26-30 April 2000

Author : Naoto Nagaosa
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 42,9 Mb
Release : 1999-09-20
Category : Science
ISBN : 3540659811

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Quantum Field Theory in Strongly Correlated Electronic Systems by Naoto Nagaosa Pdf

In this book the author extends the concepts introduced in his Quantum Field Theory in Condensed Matter Physics to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analyzed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators, and quantum Hall liquids from the point of view of gauge theory.

Author : Hiroshi Kontani
Publisher : Springer
Page : 173 pages
File Size : 44,8 Mb
Release : 2013-02-11
Category : Science
ISBN : 9783642353659

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Transport Phenomena in Strongly Correlated Fermi Liquids by Hiroshi Kontani Pdf

In conventional metals, various transport coefficients are scaled according to the quasiparticle relaxation time, \tau, which implies that the relaxation time approximation (RTA) holds well. However, such a simple scaling does not hold in many strongly correlated electron systems, reflecting their unique electronic states. The most famous example would be cuprate high-Tc superconductors (HTSCs), where almost all the transport coefficients exhibit a significant deviation from the RTA results. To better understand the origin of this discrepancy, we develop a method for calculating various transport coefficients beyond the RTA by employing field theoretical techniques. Near the magnetic quantum critical point, the current vertex correction (CVC), which describes the electron-electron scattering beyond the relaxation time approximation, gives rise to various anomalous transport phenomena. We explain anomalous transport phenomena in cuprate HTSCs and other metals near their magnetic or orbital quantum critical point using a uniform approach. We also discuss spin related transport phenomena in strongly correlated systems. In many d- and f-electron systems, the spin current induced by the spin Hall effect is considerably greater because of the orbital degrees of freedom. This fact attracts much attention due to its potential application in spintronics. We discuss various novel charge, spin and heat transport phenomena in strongly correlated metals.

Author : S G Ovchinnikov,V V Val'kov
Publisher : World Scientific
Page : 256 pages
File Size : 49,6 Mb
Release : 2004-08-03
Category : Science
ISBN : 9781783260812

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Hubbard Operators in the Theory of Strongly Correlated Electrons by S G Ovchinnikov,V V Val'kov Pdf

This book provides the first systematic discourse on a very peculiar approach to the theory of strongly correlated systems. Hubbard X-operators have been known for a long time but have not been widely used because of their awkward algebra. The book shows that it is possible to deal with X-operators even in the general multilevel local eigenstate system, and not just in the case of the nondegenerate Hubbard model. X-operators provide the natural language for describing quasiparticles in the Hubbard subbands with unusual doping and temperature-dependent band structures. The X-operator diagram technique is presented in detail, so that a newcomer with knowledge of the usual Fermi/Bose operator diagram technique can use the former after reading the book. Examples are taken from the theory of high-Tc superconductivity, rare-earth compounds with strong magnetic anisotropy and quantum oscillations in strongly correlated systems. Contents:Hubbard Model as a Simplest Model of Strong Electron CorrelationsMultielectron Models in X-Operator RepresentationGeneral Approach to the Quasiparticle Description of Strongly Correlated SystemsUnitary Transformation Method in Atomic RepresentationDiagram Technique in the X-Operators RepresentationSpectral Properties of Anisotropic Metallic FerromagnetsPeculiarities of the de Haas–van Alphen Effect in Strongly Correlated Systems with Magnetic Polaron StatesThe Electronic Structure of Copper Oxides in the Multiorbital p–d Model Readership: Graduate students, academics and researchers in mathematical, theoretical, condensed-matter, statistical and quantum physics. Keywords:Strong Electron Correlations;Quasiparticles;Hubbard Operators;Diagram Technique;Quantum Oscillations;High Temperature Superconductivity;Strongly Anisotropic Magnetic MaterialsReviews:“This well-written book gives a systematic description of effective mathematical tools in the theory of strongly correlated electrons, based upon the use of the Hubbard operators.”Mathematical Reviews

Author : Baskaran G,Ruckenstein A E,Yu Lu
Publisher : World Scientific
Page : 506 pages
File Size : 54,8 Mb
Release : 1990-01-01
Category : Electronic
ISBN : 9789814513319

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Strongly Correlated Electron Systems - Proceedings Of The Anniversary Adriatico Research Conference And Workshop by Baskaran G,Ruckenstein A E,Yu Lu Pdf

Author : J M P Carmelo,J M B Lopes Dos Santos,Vitor Joao Rocha Vieira,Pedro Sacramento
Publisher : World Scientific
Page : 612 pages
File Size : 55,6 Mb
Release : 2007-07-12
Category : Technology & Engineering
ISBN : 9789814475839

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Strongly Correlated Systems, Coherence And Entanglement by J M P Carmelo,J M B Lopes Dos Santos,Vitor Joao Rocha Vieira,Pedro Sacramento Pdf

This volume presents a collection of review papers on recent work in the connected areas of strongly correlated systems, the effects of coherence on macroscopic systems, and entanglement in quantum systems. These areas have attracted considerable interest due to their complexity and associated unexpected nontrivial phenomena, and also due to their potential applications in various fields, from materials science to information technology. The coverage includes strongly correlated electronic systems such as low-dimensional complex materials, ordered and disordered spin systems, and aspects of the physics of manganites and graphene, both in equilibrium and far from equilibrium.