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Finite size effects in correlated electron models: exact results

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Author(s): Andrei A. Zvyagin
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Publisher:Imperial College Press
Year:2005
Langue: English
Pages: 367 pages
Size:2.15 MB
Extension:PDF


[tab] [content title="Summary"] This book provides exact results for one-dimensional models of strongly correlated electrons, including quantum spin models, in a clear and concise format. It includes significant findings related to magnetic and hybridization impurities in electron hosts, along with original results for disordered ensembles of impurities in interacting systems. These models are relevant to various low-dimensional electron systems commonly explored in nanophysics and microelectronics. A key feature of the book is its introduction of the Bethe Ansatz (BA), an essential method in modern theoretical and mathematical physics. Different forms of the BA are presented for both periodic and open quantum chains, including coordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. Additionally, the book offers a succinct overview of other theoretical methods, such as scaling, conformal field theory, and both Abelian and non-Abelian bosonizations. It is designed as a textbook for graduate students studying non-perturbative methods in low-dimensional quantum many-body theory. Furthermore, it serves as a valuable reference for qualified physicists and non-experts interested in low-dimensional physics, providing the foundational material necessary for further exploration of exactly solvable quantum models and correlated electron systems. [/content] [content title="Content"] [/content] [content title="Author(s)"] [/content] [/tab]


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