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 : 2010-06-24
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 2010-06-24 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.
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.
The One Dimensional Hubbard Model
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Author :
language : en
Publisher:
Release Date : 2005
The One Dimensional Hubbard Model written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Hubbard model categories.
The Hubbard Model
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Author : Dionys Baeriswyl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
The Hubbard Model written by Dionys Baeriswyl 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.
In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).
The Hubbard Model
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Author : Arianna Montorsi
language : en
Publisher: World Scientific
Release Date : 1992
The Hubbard Model written by Arianna Montorsi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
This book gathers a collection of reprints on the Hubbard Model. The major contributions to the subject since its origin are included, with the aim of providing all scientists working on the model and its applications with easy access to the relevant literature.The book is divided into five parts. The introductory part is concerned with the physical origin and motivations of the model, and contains a collection of mainly historical papers. The remaining four sections are intended to present a coherent scenario of the different approaches to the model solution: exact and rigorous statistical mechanics results; variational methods; perturbative approaches; numerical Quantum Monte Carlo and exact diagonalization studies. Among the applications special emphasis is given to high-Tc superconductivity. Each section is preceded by commentary notes from the editor.
Thermodynamics Of One Dimensional Solvable Models
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Author : Minoru Takahashi
language : en
Publisher: Cambridge University Press
Release Date : 2005-09-15
Thermodynamics Of One Dimensional Solvable Models written by Minoru Takahashi 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 2005-09-15 with Science categories.
Exactly solvable models are very important in physics from a theoretical point of view and also from the experimentalist's perspective, because in such cases theoretical results and experimental results can be compared without ambiguity. This is a book about an important class of exactly solvable models in physics. The subject area is the Bethe-ansatz approach for a number of one-dimensional models, and the setting up of equations within this approach to determine the thermodynamics of these systems. It is a topic that crosses the boundaries among condensed matter physics, mathematics and field theory. The derivation and application of thermodynamic Bethe-ansatz equations for one-dimensional models are explained in detail. This technique is indispensable for physicists studying the low-temperature properties of one-dimensional substances. Written by the originator of much of the work in the subject, this book will be of great interest to theoretical condensed matter physicists.
Condensed Matter Physics And Exactly Soluble Models
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Author : Elliott H. Lieb
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Condensed Matter Physics And Exactly Soluble Models written by Elliott H. Lieb 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 2013-06-29 with Science categories.
This is the third Selecta of publications of Elliott Lieb, the first two being Stabil ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai. A companion fourth Selecta on Statistical Mechanics is also edited by us. Elliott Lieb has been a pioneer of the discipline of mathematical physics as it is nowadays understood and continues to lead several of its most active directions today. For the first part of this selecta we have made a selection of Lieb's works on Condensed Matter Physics. The impact of Lieb's work in mathematical con densed matter physics is unrivaled. It is fair to say that if one were to name a founding father of the field, Elliott Lieb would be the only candidate to claim this singular position. While in related fields, such as Statistical Mechanics and Atomic Physics, many key problems are readily formulated in unambiguous mathematical form, this is less so in Condensed Matter Physics, where some say that rigor is "probably impossible and certainly unnecessary". By carefully select ing the most important questions and formulating them as well-defined mathemat ical problems, and then solving a good number of them, Lieb has demonstrated the quoted opinion to be erroneous on both counts. What is true, however, is that many of these problems turn out to be very hard. It is not unusual that they take a decade (even several decades) to solve.
Hubbard Model The Recent Results
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Author : Mario G Rasetti
language : en
Publisher: World Scientific
Release Date : 1991-07-03
Hubbard Model The Recent Results written by Mario G Rasetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-03 with Science categories.
This collection of articles provides authoritative and up-to-date reviews on the Hubbard Model. It will be useful to graduate students and researchers in the field.
Dynamical Mean Field Theory For Strongly Correlated Materials
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Author : Volodymyr Turkowski
language : en
Publisher: Springer Nature
Release Date : 2021-04-22
Dynamical Mean Field Theory For Strongly Correlated Materials written by Volodymyr Turkowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-22 with Technology & Engineering categories.
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.