Finite Size Effects In Correlated Electron Models

Exact Results

By: Andrei Zvyagin

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Hardcover | 26 May 2005

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380 Pages

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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.

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You Can Find This Book In

Non-Fiction Engineering & Technology Technology in General Nanotechnology Science Physics Materials & States of Matter Condensed Matter Physics including Liquid State & Solid State Physics Atomic & Molecular Physics Booktopia Publisher Services World Scientific Publishing

Introduction	p. 1
Quantum spin-1/2 chain with the nearest-neighbour couplings	p. 25
Co-ordinate Bethe Ansatz for a Heisenberg-Ising ring	p. 49
Correlated electron chains : co-ordinate Bethe Ansatz	p. 73
Algebraic Bethe Ansatz	p. 115
Correlated quantum chains with open boundary conditions	p. 149
Correlated quantum chains with isolated impurities	p. 189
Correlated quantum chains with a finite concentration of impurities	p. 243
Finite size corrections in quantum correlated chains	p. 285
Beyond the integrability : approximate methods	p. 335
Table of Contents provided by Blackwell. All Rights Reserved.

Finite Size Effects In Correlated Electron Models

Exact Results

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