Bosonization And Strongly Correlated Systems
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Bosonization And Strongly Correlated Systems
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Author : Alexander O. Gogolin
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-16
Bosonization And Strongly Correlated Systems written by Alexander O. Gogolin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-16 with Science categories.
Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.
Self Consistent Quantum Field Theory And Bosonization For Strongly Correlated Electron Systems
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Author : Rudolf Haussmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
Self Consistent Quantum Field Theory And Bosonization For Strongly Correlated Electron Systems written by Rudolf Haussmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems. Also considered is the crossover from BCS superconductivity to Bose--Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.
New Theoretical Approaches To Strongly Correlated Systems
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Author : Alexei M. Tsvelik
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Theoretical Approaches To Strongly Correlated Systems written by Alexei M. Tsvelik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Correlations In Low Dimensional Quantum Gases
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Author : Guillaume Lang
language : en
Publisher: Springer
Release Date : 2018-12-29
Correlations In Low Dimensional Quantum Gases written by Guillaume Lang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-29 with Science categories.
The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies. Strongly correlated systems of one-dimensional bosons have a long history of theoretical study. Their experimental realisation in ultracold atom experiments is the subject of current research, which took off in the early 2000s. Yet these experiments raise new theoretical questions, just begging to be answered. Correlation functions are readily available for experimental measurements. In this book, they are tackled by means of sophisticated theoretical methods developed in condensed matter physics and mathematical physics, such as bosonization, the Bethe Ansatz and conformal field theory. Readers are introduced to these techniques, which are subsequently used to investigate many-body static and dynamical correlation functions.
Theoretical Methods For Strongly Correlated Electrons
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Author : David Sénéchal
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-09
Theoretical Methods For Strongly Correlated Electrons written by David Sénéchal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-09 with Science categories.
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.
Quantum Electron Liquids And High Tc Superconductivity
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Author : Jose Gonzalez
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-30
Quantum Electron Liquids And High Tc Superconductivity written by Jose Gonzalez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-30 with Science categories.
This book originated from a course given at the Univcrsidad Aut6noma of Madrid in the Spring of 1994 and in the Universidad Complutense of Madrid in 1995. The goal of these courses is to give the non-specialist an introduction to some old and new ideas in the field of strongly correlated systems, in particular the problems posed by the high-1~ superconducting materials. As theoretical physicists, our starting viewpoint to address the problem of strongly correlat ed ferlnion systems and related issues of modern condensed matter physics ·is the renormalization group approach applied both to quantU111 field theory and statistical physics. In recent years this has become not only a powerful tool for retrieving the essential physics of interacting systems but also a link between theoretical physics and modern condensed matter physics. Furthermore, once we have this common background for dealing with apparently different prob lems, we discuss more specific topics and even phenomenological aspects of the field. In doing so we have tried to make the exposition clear and simple, with out entering into technical details but focusing ill the fundamental physics of the phenomena under study. Therefore ,ve expect that our experience ll1ay have some value to other people entering this fascinating field. We have divided these notes into three parts and each part into chapters, which correspond roughly to one or two lectures. Part I, Chaps. 1-2 (A. H. V.
Quantum Field Theory In Condensed Matter Physics
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Author : Alexei M. Tsvelik
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-18
Quantum Field Theory In Condensed Matter Physics written by Alexei M. Tsvelik and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-18 with Science categories.
This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.
Lectures On The Physics Of Highly Correlated Electron Systems V
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Author : Ferdinando Mancini
language : en
Publisher: American Inst. of Physics
Release Date : 2001-07-27
Lectures On The Physics Of Highly Correlated Electron Systems V written by Ferdinando Mancini and has been published by American Inst. of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-27 with Science categories.
The volume contains the lectures delivered at the "Fifth Training Course in the Physics of Correlated Electron Systems and High-Tc Superconductors". The lectures are up-to-date comprehensive overviews of relevant subjects in condensed matter physics. Contributions include: the extension of the BCS theory to the strong-coupling regime with small polarons and bipolarons, the canonical Migdal-Eliashberg theory of strongly coupled electrons and phonons (or any bosons) and its breakdown in the strong-coupling regime, the multi-polaron problem, the bipolaron theory to cuprates, the essential interaction in oxides, the parameter-free expression for the superconducting critical temperature, upper crtitical field, symmetry of the order parameter, the London penetration depth, vortex structure, theory of tunnelling and Andreev reflection, normal and superconducting gaps, angle-resolved photoemission, and stripes, the principles of the type II superconductor behavior, the magnetic field dependence of pinning mechanisms in Bi2Sr2CaCu2Ox thin films, the melting of the vortex lattice in Nb/CuMn multilayers, the transport properties of high-temperature superconductor-based superlattices, the theory of strongly correlated low-dimensional systems, microscopical theory of spin-superconducting pairing in systems with strong electron correlations, p-d model, Hubbard and t-J models, retardation effects, antiferromagnetic superexchange interaction, the non-perturbative techniques in (1+1) and two dimensions, the bosonization, the WZNW models.
Effects Of Lattice Distortions On Low Dimensional Strongly Correlated Systems
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Author : Marion Moliner
language : en
Publisher:
Release Date : 2009
Effects Of Lattice Distortions On Low Dimensional Strongly Correlated Systems written by Marion Moliner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
This thesis deals with the effects of phonons, in the adiabatic limit, on low-dimensional strongly-correlated systems. In a first part, we focus on spin systems in the classical limit (large S). We study the frustrated J1 - J2 chain coupled with lattice distortions and under an applied magnetic field. By means of analytical and numerical (Monte-Carlo) methods, we show that, for a wide range of the spin-lattice coupling, a magnetization plateau at 1/3 of the saturated magnetization is stabilized. We then study the two-dimensional frustrated Shastry-Sutherland lattice. Amagnetization pseudo-plateau is found at 1/3 of the saturatedmagnetization for nonzero temperature. Classical spin-waves and Monte-Carlo simulations show that this pseudoplateau is due to the entropic selection of a particular collinear configuration through the Order by Disorder effect. By means of Monte-Carlo simulations, we obtain a phase diagram in the planemagnetic field versus temperature. The second part is dedicated to the quarter-filled Hubbard chain. Both Holstein (on-site) and Peierls distortions are considered. We derive a bosonic Hamiltonian in the low-energy limit by means of the bosonization technique. We includemore harmonics in the bosonic expansion of the fermionic fields and showthat the lattice coupling couples the spin and charge degrees of freedom.We qualitatively recover tetramerized and dimerized phases that were obtained in previous numerical works.
Bosonization
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Author : Michael Stone (Ph. D.)
language : en
Publisher: World Scientific
Release Date : 1994
Bosonization written by Michael Stone (Ph. D.) and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
Bosonization is a useful technique for studying systems of interacting fermions in low dimensions. It has applications in both particle and condensed matter physics.This book contains reprints of papers on the method as used in these fields. The papers range from the classic work of Tomonaga in the 1950's on one-dimensional electron gases, through the discovery of fermionic solitons in the 1970's, to integrable systems and bosonization on Riemann surfaces. A four-chapter pedagogical introduction by the editor should make the book accessible to graduate students and experienced researchers alike.