The One Dimensional Hubbard Model

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The One Dimensional Hubbard Model

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Author : Fabian H. L. Essler
language : en
Publisher: Cambridge University Press
Release Date : 2005-02-07

The One Dimensional Hubbard Model written by Fabian H. L. Essler 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 2005-02-07 with Science categories.

This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics.

The One Dimensional Hubbard Model

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Author : Fabian H. L. Essler
language : en
Publisher: Cambridge University Press
Release Date : 2005-02-07

The One Dimensional Hubbard Model written by Fabian H. L. Essler 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 2005-02-07 with Science categories.

This book presents a self-contained account of the exact solution of the Hubbard model in one dimension. The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents. It is impossible to solve the corresponding many-body problems, although insight can be gained from analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands and which has been applied to a diverse range of problems.

Quantum Many Body Systems In One Dimension

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Author : Zachary N C Ha
language : en
Publisher: World Scientific
Release Date : 1996-09-13

Quantum Many Body Systems In One Dimension written by Zachary N C Ha and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-13 with Science categories.

The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t-J models and Hubbard models. The former, the Calogero-Sutherland family of models, are simple to solve and contain essentially the same physics as the NNE family. The author introduces and discusses current topics, such as the Luttinger liquid concept, fractional statistics, and spin-charge separation, in the context of the explicit models.

Thermodynamics And Excitations Of The One Dimensional Hubbard Model

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Author : T. Deguchi
language : en
Publisher:
Release Date : 2000

Thermodynamics And Excitations Of The One Dimensional Hubbard Model written by T. Deguchi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

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.

Off Diagonal Bethe Ansatz For Exactly Solvable Models

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Author : Yupeng Wang
language : en
Publisher: Springer
Release Date : 2015-04-21

Off Diagonal Bethe Ansatz For Exactly Solvable Models written by Yupeng Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-21 with Science categories.

This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.

Models Of Quantum Matter

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Author : Hans-Peter Eckle
language : en
Publisher:
Release Date : 2019

Models Of Quantum Matter written by Hans-Peter Eckle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Science categories.

The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical properties of quantum matter.

Strongly Correlated Systems Coherence And Entanglement

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Author : J M P Carmelo
language : en
Publisher: World Scientific
Release Date : 2007-07-12

Strongly Correlated Systems Coherence And Entanglement written by J M P Carmelo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-12 with Technology & Engineering categories.

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.

Proceedings Of The Conference On Advances In Dynamical Systems And Quantum Physics

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Author : Conference on Advances in Dynamical Systems and Quantum Physics 1993, Capri, Italy
language : en
Publisher: World Scientific
Release Date : 1995

Proceedings Of The Conference On Advances In Dynamical Systems And Quantum Physics written by Conference on Advances in Dynamical Systems and Quantum Physics 1993, Capri, Italy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Quantum field theory categories.

This volume contains contributions from the meeting held in honour of G.F. Dell'Antonio for his sixtieth birthday. The topics covered include the theory of classical and quantum dynamical systems and related mathematical disciplines such as functional and stochastic analysis, operator algebras etc. The contributions by leading specialists survey recent developments in Hamiltonian dynamics, non-commutative integration, supersymmetric theories, spin glass theory and other subjects in mathematical physics.

Highly Conducting One Dimensional Solids

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Author : J. Devreese
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Highly Conducting One Dimensional Solids written by J. Devreese 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 2013-11-11 with Science categories.

Although the problem of a metal in one dimension has long been known to solid-state physicists, it was not until the synthesis of real one-dimensional or quasi-one-dimensional systems that this subject began to attract considerable attention. This has been due in part to the search for high temperature superconductivity and the possibility of reaching this goal with quasi-one-dimensional substances. A period of intense activity began in 1973 with the report of a measurement of an apparently divergent conduc tivity peak in TfF-TCNQ. Since then a great deal has been learned about quasi-one-dimensional conductors. The emphasis now has shifted from trying to find materials of very high conductivity to the many interesting problems of physics and chemistry involved. But many questions remain open and are still under active investigation. This book gives a review of the experimental as well as theoretical progress made in this field over the last years. All the chapters have been written by scientists who have established themselves as experts in theoreti cal and experimental solid-state physics. The book is intended to be of use both to students and researchers entering the field as well as to more advanced physicists. The wealth of ideas and information it contains ought to be useful to anyone interested in quasi-one-dimensional systems, organic solids, or the search for novel conduction and superconduction mechanisms. The editors are very grateful to the authors for their collaboration in this book.