Finite Size Effects In Correlated Electron Models Exact Results


Finite Size Effects In Correlated Electron Models Exact Results
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Finite Size Effects In Correlated Electron Models


Finite Size Effects In Correlated Electron Models
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Author : Andrei A. Zvyagin
language : en
Publisher: World Scientific
Release Date : 2005

Finite Size Effects In Correlated Electron Models written by Andrei A. Zvyagin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.


The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.



Finite Size Effects In Correlated Electron Models Exact Results


Finite Size Effects In Correlated Electron Models Exact Results
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Author : Andrei Zvyagin
language : en
Publisher: World Scientific
Release Date : 2005-05-25

Finite Size Effects In Correlated Electron Models Exact Results written by Andrei Zvyagin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-25 with Science categories.


The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.



Exactly Solvable Models Of Strongly Correlated Electrons


Exactly Solvable Models Of Strongly Correlated Electrons
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Author : Vladimir E. Korepin
language : en
Publisher: World Scientific
Release Date : 1994

Exactly Solvable Models Of Strongly Correlated Electrons written by Vladimir E. Korepin 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 Technology & Engineering categories.


Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.



Lectures On The Physics Of Strongly Correlated Systems Xiv


Lectures On The Physics Of Strongly Correlated Systems Xiv
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Author : Adolfo Avella
language : en
Publisher: American Institute of Physics
Release Date : 2011-01-21

Lectures On The Physics Of Strongly Correlated Systems Xiv written by Adolfo Avella and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-21 with Technology & Engineering categories.


The volume contains the lectures delivered at the XIV Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2009. 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 monographs of relevant subjects in the field of Condensed Matter Physics. Contributions include: Electronic Structure of Strongly Correlated Materials (Electronic structure calculations in one-electron approximation; Hubbard model in Dynamical Mean-Field Theory (DMFT); Electronic structure calculations for real materials by LDA+DMFT method); Computational Studies of Quantum Spin Systems (Quantum spin models, their ground states and quantum phase transitions; Classical phase transitions, Monte Carlo simulations, and finite-size scaling; Exact diagonalization methods; Quantum Monte Carlo simulations and the Stochastic Series Expansion method; Survey of related computational methods); Dynamical Mean-Field Theory of Electronic Correlations in Models and Materials (Mean-field theories for many-body systems; Lattice fermions in the limit of high dimensions; Dynamical mean-field theory for correlated lattice fermions; The Mott-Hubbard Metal-Insulator Transition; Electronic correlations and disorder; Theory of electronic correlations in materials; Kinks in the dispersion of strongly correlated electron systems).



Theoretical Methods For Strongly Correlated Electrons


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.



Journal Of Physics A


Journal Of Physics A
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Author :
language : en
Publisher:
Release Date : 1997

Journal Of Physics A written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematical physics categories.


Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.



Theory Of Critical Phenomena In Finite Size Systems


Theory Of Critical Phenomena In Finite Size Systems
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Author : Jordan G Brankov
language : en
Publisher: World Scientific
Release Date : 2000-08-21

Theory Of Critical Phenomena In Finite Size Systems written by Jordan G Brankov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-21 with Science categories.


The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems. The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results. Contents:Overview of Critical Phenomena in Bulk SystemsThe Approximating Hamiltonian MethodExactly Solved ModelsFinite-Size Scaling at CriticalityLong-Range InteractionsModified Finite-Size ScalingBoundary EffectsFinite-Size Scaling at First Order TransitionsLimit Gibbs States and Finite-Size ScalingBulk Quantum SystemsThe Casimir EffectSurvey of Results on the Casimir Effect Readership: Graduate students and researchers in theoretical and condensed matter physics. Keywords:Phase Transition;Critical Phenomena;Finite Size Scaling;Quantum Phase TransitionsReviews: “… this book offers a careful survey of finite-size scaling near bulk phase transitions …” Journal of Statistical Physics “The book is a very comprehensive and detailed account of this field … I have found the final section on the Casimir effect particularly interesting. It is very well written and detailed … I recommend it to serious students of critical phenomena and condensed matter, but those who already have the basic knowledge of the theory of phase transitions.” Contemporary Physics



Physica B C


Physica B C
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Author :
language : en
Publisher:
Release Date : 1988

Physica B C written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Condensed matter categories.




Physics Briefs


Physics Briefs
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Author :
language : en
Publisher:
Release Date : 1993

Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Physics categories.




The British National Bibliography


The British National Bibliography
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Author : Arthur James Wells
language : en
Publisher:
Release Date : 2005

The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Bibliography, National categories.