New Theoretical Approaches To Strongly Correlated Systems

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New Theoretical Approaches to Strongly Correlated Systems

Alexei M. Tsvelik
New Theoretical Approaches to Strongly Correlated Systems Book PDF

Author : Alexei M. Tsvelik
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401008389

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New Theoretical Approaches to Strongly Correlated Systems by Alexei M. Tsvelik Pdf

For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.

Strongly Correlated Systems

Adolfo Avella,Ferdinando Mancini
Strongly Correlated Systems Book PDF

Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 40,7 Mb
Release : 2013-04-05
Category : Science
ISBN : 9783642351068

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Strongly Correlated Systems by Adolfo Avella,Ferdinando Mancini Pdf

This volume presents, for the very first time, an exhaustive collection of those modern numerical 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 material 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 appreciate 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.

Theoretical Methods for Strongly Correlated Electrons

David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais
Theoretical Methods for Strongly Correlated Electrons Book PDF

Author : David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 50,6 Mb
Release : 2006-05-09
Category : Science
ISBN : 9780387217178

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Theoretical Methods for Strongly Correlated Electrons by David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais Pdf

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.

Dynamical Mean-Field Theory for Strongly Correlated Materials

Volodymyr Turkowski
Dynamical Mean Field Theory for Strongly Correlated Materials Book PDF

Author : Volodymyr Turkowski
Publisher : Springer Nature
Page : 393 pages
File Size : 43,7 Mb
Release : 2021-04-22
Category : Technology & Engineering
ISBN : 9783030649043

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Dynamical Mean-Field Theory for Strongly Correlated Materials by Volodymyr Turkowski Pdf

​​This is the first book that provides a detailed summary of one of the most successful new condensed matter theories - dynamical mean-field theory (DMFT) - in both static and dynamical cases of systems of different sizes. DMFT is one of the most successful approaches to describe the physical properties of systems with strong electron-electron correlations such as bulk materials, multi-layers, surfaces, 2D materials and nanostructures in both metallic and insulating phases. Strongly correlated materials usually include partially-filled localized d- or f-orbitals, and DMFT takes into account crucial for these systems time-resolved interaction between electrons when they “meet” on one atom and occupy one of these orbitals. The First Part of the book covers the general formalism of DMFT as a many-body theory, followed by generalizations of the approach on the cases of finite systems and out-of-equilibrium regime. In the last Chapter of the First Part we discuss generalizations of the approach on the case when the non-local interactions are taken into account. The Second Part of the book covers methodologies of merging DMFT with ab initio static Density Functional Theory (DFT) and Time-Dependent DFT (TDDFT) approaches. Such combined DFT+DMFT and DMFT+TDDFT computational techniques allow one to include the effects of strong electron-electron correlations at the accurate ab initio level. These tools can be applied to complex multi-atom multi-orbital systems currently not accessible to DMFT. The book helps broad audiences of students and researchers from the theoretical and computational communities of condensed matter physics, material science, and chemistry to become familiar with this state-of-art approach and to use it for reaching a deeper understanding of the properties of strongly correlated systems and for synthesis of new technologically-important materials.

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

Yuto Ashida
Quantum Many Body Physics in Open Systems Measurement and Strong Correlations Book PDF

Author : Yuto Ashida
Publisher : Springer Nature
Page : 228 pages
File Size : 45,6 Mb
Release : 2020-01-06
Category : Science
ISBN : 9789811525803

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Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations by Yuto Ashida Pdf

This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.

Hubbard Operators in the Theory of Strongly Correlated Electrons

S. G. Ovchinnikov,V. V. Val?kov,V. V. Val'kov
Hubbard Operators in the Theory of Strongly Correlated Electrons Book PDF

Author : S. G. Ovchinnikov,V. V. Val?kov,V. V. Val'kov
Publisher : Imperial College Press
Page : 268 pages
File Size : 45,7 Mb
Release : 2004
Category : Science
ISBN : 186094597X

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

This book provides the first systematic discourse on a very peculiarapproach to the theory of strongly correlated systems. HubbardX-operators have been known for a long time but have not been widelyused because of their awkward algebra. The book shows that it ispossible to deal with X-operators even in the general multilevel localeigenstate system, and not just in the case of the nondegenerateHubbard model. X-operators provide the natural language for describingquasiparticles in the Hubbard subbands with unusual doping andtemperature-dependent band structures.

Quantum Monte Carlo Approaches for Correlated Systems

Federico Becca,Sandro Sorella
Quantum Monte Carlo Approaches for Correlated Systems Book PDF

Author : Federico Becca,Sandro Sorella
Publisher : Cambridge University Press
Page : 287 pages
File Size : 43,9 Mb
Release : 2017-11-30
Category : Science
ISBN : 9781107129931

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Quantum Monte Carlo Approaches for Correlated Systems by Federico Becca,Sandro Sorella Pdf

A comprehensive introduction to state-of-the-art quantum Monte Carlo techniques for applications in strongly-interacting systems. Including variational wave functions, stochastic samplings, the variational technique, optimisation techniques, real-time dynamics and projection methods and recent developments on the continuum space. An extensive resource for students and researchers.

Recent Progress in Many-body Theories

Joseph A. Carlson,Gerardo Ortiz
Recent Progress in Many body Theories Book PDF

Author : Joseph A. Carlson,Gerardo Ortiz
Publisher : World Scientific
Page : 285 pages
File Size : 53,8 Mb
Release : 2006
Category : Science
ISBN : 9789812772893

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Recent Progress in Many-body Theories by Joseph A. Carlson,Gerardo Ortiz Pdf

Quantum many-body theory has greatly expanded its scope and depth over the past few years, treating more deeply long-standing issues like phase transitions and strongly-correlated systems, and simultaneously expanding into new areas such as cold atom physics and quantum information. This collection of contributions highlights recent advances in all these areas by leaders in their respective fields. Also included are some historic perspectives by L P Gor'kov and S T Belyaev, Feenberg Medal Recipients at this conference, and Nobel Laureate P W Anderson gives his unique outlook on the future of physics. The volume covers the key topics in many-body theory, tied together through advances in theoretical tools and computational techniques, and a unifying theme of fundamental approaches to quantum many-body physics. Contents: Feenberg Medal Session: Surface and Superconductivity (L P Gor'kov); The Future Lies Ahead (P W Anderson); Strongly Correlated Systems and Phase Transitions: Quantum Matters: Physics Beyond Landau's Paradigms (T Senthil); Recent Applications of the DMRG Method (K Hallberg); Quantum Fluids and Solids: Monolayer Charged Quantum Films: A Quantum Simulation Study (K Wierschem & E Manousakis); Analysis of the Interatomic Potential of the Helium Systems (S Ujevic & S A Vitiello); Nuclear Physics and QCD: Quantum Phase Transitions in Mesoscopic Systems (F Iachello); New Approaches to Strong Coupling Lattice QCD (S Chandrasekharan); Cold Atoms and Quantum Information: Superfluid Regimes in Degenerate Atomic Fermi Gases (G V Shlyapnikov); Bosons in Optical Lattices (S L Rolston); Complex Systems: Spin Textures and Random Fields in Dirty Quantum Hall Ferromagnets (J T Chalker); Dissipative Quantum Disordered Models (L F Cugliandolo); and other papers. Readership: Theoretical physicists in condensed matter, nuclear physics and QCD, atomic physics and quantum information.

Strongly Correlated Fermi Systems

Miron Amusia,Vasily Shaginyan
Strongly Correlated Fermi Systems Book PDF

Author : Miron Amusia,Vasily Shaginyan
Publisher : Springer Nature
Page : 385 pages
File Size : 42,6 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.

Lectures on the Physics of Highly Correlated Electron Systems VIII

Adolfo Avella,Ferdinando Mancini
Lectures on the Physics of Highly Correlated Electron Systems VIII Book PDF

Author : Adolfo Avella,Ferdinando Mancini
Publisher : American Inst. of Physics
Page : 272 pages
File Size : 49,8 Mb
Release : 2004-08-27
Category : Technology & Engineering
ISBN : 0735401942

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Lectures on the Physics of Highly Correlated Electron Systems VIII by Adolfo Avella,Ferdinando Mancini Pdf

The papers were peer reviewed by a local panel. The objective of the meeting was to promote the progress of young scientists by means of training through research. The lectures are up-to-date monographs of relevant subjects in the field of condensed matter physics. Contributions include the following lectures: Electron-Phonon Interaction and Strong Correlations in High-Temperature Superconductors: One cannot avoid the unavoidable (The properties of the normal state and pairing mechanism in high-Tc superconductors, Forward scattering peak in the EPI, The FSP theory, The ARPES non-shift puzzle, Interesting predictions of the FSP theory); Strongly Correlated Electron Materials: Dynamical Mean-Field Theory and Electronic Structure (The basic principles of dynamical mean-field theory (DMFT), application of DMFT to the Mott transition, compare to recent spectroscopy, transport experiments; the key role of the quasiparticle coherence scale, transfers of spectral weight between low- and intermediate or high energies is emphasized); Monte Carlo Simulations of Quantum Systems with Global Updates (a model for doped antiferromagnets, first application of the hybrid loop algorithm, namely the t-Jmodel with 1/r2 interaction).

Lectures on the Physics of Strongly Correlated Systems XIII

Adolfo Avella,Ferdinando Mancini
Lectures on the Physics of Strongly Correlated Systems XIII Book PDF

Author : Adolfo Avella,Ferdinando Mancini
Publisher : American Institute of Physics
Page : 0 pages
File Size : 42,7 Mb
Release : 2009-09-10
Category : Science
ISBN : 0735406995

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

The volume contains the lectures delivered at the XIII Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2008. The project 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 in insulators (Single impurities in semiconductors and insulators; One- Two- and Three-dimensional magnets and quantum phase transitions; Undoped and doped Kondo insulators); Novel quantum condensates in excitonic matter (The physical systems: excitonic insulators, the Dicke model, exciton and polariton BEC; Second quantization, coherent states and path integral; exciton and polariton condensates in mean field theory; Open systems and Keldysh formulation; Phase-breaking and open system dynamics); Introduction to unconventional superconductivity (Generalized BCS theory; Phenomenological approach and symmetry aspects; Generalized Ginzburg-Landau theory; Josephson and tunneling effects); Quantum Monte-Carlo simulations (Classical and quantum cluster algorithms; The worm algorithm; Optimized ensembles for classical and quantum Monte-Carlo simulations; Continuous time QMC solvers for quantum impurity problems and DMFT).

Hubbard Operators in the Theory of Strongly Correlated Electrons

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

Author : S G Ovchinnikov,V V Val'kov
Publisher : World Scientific
Page : 256 pages
File Size : 55,9 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

Lectures on the Physics of Strongly Correlated Systems XII

Adolfo Avella,Ferdinando Mancini
Lectures on the Physics of Strongly Correlated Systems XII Book PDF

Author : Adolfo Avella,Ferdinando Mancini
Publisher : American Institute of Physics
Page : 288 pages
File Size : 41,6 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).

Condensed Matter Field Theory

Alexander Altland,Ben D. Simons
Condensed Matter Field Theory Book PDF

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 55,7 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Effective Models for Low-Dimensional Strongly Correlated Systems

Ghassan George Batrouni,Didier Poilblanc
Effective Models for Low Dimensional Strongly Correlated Systems Book PDF

Author : Ghassan George Batrouni,Didier Poilblanc
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 49,5 Mb
Release : 2006-02-23
Category : Science
ISBN : 0735403090

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Effective Models for Low-Dimensional Strongly Correlated Systems by Ghassan George Batrouni,Didier Poilblanc Pdf

These proceedings cover the most recent developments in the fields of high temperature superconductivity, magnetic materials and cold atoms in traps. Special emphasis is given to recently developed numerical and analytical methods, such as effective model Hamiltonians, density matrix renormalization group as well as quantum Monte Carlo simulations. Several of the contributions are written by the pioneers of these methods.