Luttinger Model
DOWNLOAD
Download Luttinger Model PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Luttinger Model book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Luttinger Model
DOWNLOAD
Author : Vieri Mastropietro
language : en
Publisher: World Scientific
Release Date : 2014
Luttinger Model written by Vieri Mastropietro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics. Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.
Quantum Theory Of The Electron Liquid
DOWNLOAD
Author : Gabriele Giuliani
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-19
Quantum Theory Of The Electron Liquid written by Gabriele Giuliani 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 2008-06-19 with Science categories.
Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.
The Hubbard Model
DOWNLOAD
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).
Exactly Solvable Models Of Strongly Correlated Electrons
DOWNLOAD
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.
Condensed Matter Physics And Exactly Soluble Models
DOWNLOAD
Author : Elliott H. Lieb
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-29
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 2004-11-29 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.
Models Of Quantum Matter
DOWNLOAD
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.
Exactly Solvable Models In Many Body Theory
DOWNLOAD
Author : Norman H March
language : en
Publisher: World Scientific
Release Date : 2016-05-27
Exactly Solvable Models In Many Body Theory written by Norman H March and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-27 with Science categories.
The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed.The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments.
The Quantum Hall Effect
DOWNLOAD
Author : Daijiro Yoshioka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Quantum Hall Effect written by Daijiro Yoshioka 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 2013-03-09 with Science categories.
Today, more than 20 years after the discovery of the quantum Hall effect, the number of publications in this field, at more than one paper per day, is still increasing. This remarkable fact requires some explanation. It also poses, but perhaps also answers, the question of why a new monograph entitled 'The Quantum Hall Effect' is a highly desirable addition to the literature. Originally the quantum Hall effect (QHE) was a term coined to describe the unexpected observation of a fundamental electrical resistance, with a value independent of the microscopic details of the semiconductor device. The simplest explanation of this phenomenon was based on an independent electron picture. The subsequent discovery of the fractional quantum Hall ef fect demonstrated that a many-body wave function and a more global view of the system is necessary to incorporate and explain interesting new aspects. Today, the quantum Hall effect has become a pseudonym for many differ ent phenomena observed in high magnetic fields, with connections not only to solid state physics but also to theoretical descriptions in plasma physics, astrophysics, atomic physics, and high energy physics. There are even spec ulations that a higher-dimensional generalization of the QHE may be useful for discussing questions related to the basic properties of space.
Many Body Problem The An Encyclopedia Of Exactly Solved Models In One Dimension 3rd Printing With Revisions And Corrections
DOWNLOAD
Author : Daniel C Mattis
language : en
Publisher: World Scientific
Release Date : 1993-03-15
Many Body Problem The An Encyclopedia Of Exactly Solved Models In One Dimension 3rd Printing With Revisions And Corrections written by Daniel C Mattis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-15 with Science categories.
This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space — such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz — can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.
Bosonization
DOWNLOAD
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.