Finite Size Effects In Correlated Electron Models: Exact Results
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A01=Andrei Zvyagin
Abelian and Non-Abelian Bosonization
Algebraic Bethe Ansatz
Author_Andrei Zvyagin
Category=PHFC
Co-Ordinate Bethe Ansatz
Conformal Field Theory
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Low-Dimensional Quantum Spin Models
The Heisenberg-Ising Model
Thermal Bethe Ansatz
Product details
- ISBN 9781860945038
- Publication Date: 26 May 2005
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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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.
