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by Essler, Fabian H. L. Korepin, V. E., (Vladimir E.)

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Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc 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, …

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Title Statements

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Summary

Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc 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.

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Edition Statements

  • Publication Date:c1994.

Publication Statements

The Physical Object

  • Description:1 online resource (xi, 490 p. :) : ill.

Edition Identifiers

  • ISBN:9789812798268, 9812798269
  • oclc:on1086425183
  • Dewey Decimal:530.411

Table of Contents

I. The one-dimensional Hubbard model. 1. Absence of Mott transition in an exact solution of the short-range one-band model in one dimension / E.H. Lieb and F.Y. Wu -- 2. Excitation spectrum of the one-dimensional Hubbard model / A.A. Ovchinnikov -- 3. Excitation spectrum in the one-dimensional Hubbard model / C.F. Coll -- 4. Excitations with complex wavenumbers in a Hubbard chain: I. States with one pair of complex wavenumbers / F. Woynarovich -- 5. Excitations with complex wavenumbers in a Hubbard chain: II. States with several pairs of complex wavenumbers / F. Woynarovich -- 6. Spin excitations in a Hubbard chain / F. Woynarovich -- 7. Low-energy excited states in a Hubbard chain with on-site attraction / F. Woynarovich -- 8. A new method for the excitations of the one-dimensional Hubbard model / A. Klümper, A. Schadschneider, J. Zittartz -- 9. Magnetization curve for the half-filled Hubbard model / M. Takahashi -- 10. Novel magnetic properties of the Hubbard chain with an attractive interaction / K. Penc and F. Woynarovich -- 11. One-dimensional Hubbard model at finite temperature / M. Takahashi -- 12. Low temperature specific heat of one-dimensional Hubbard model / M. Takahash…

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Subjects

Bandes d'énergie (Physique) Energy-band theory of solids Hubbard model Mathematical physics Modèle de Hubbard Physique mathématique

Writers

Essler, Fabian H. L. Korepin, V. E., (Vladimir E.)

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