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Finite-temperature correlations for the Uq(fraktur sfraktur l(2|1))-invariant generalized Hubbard model

Kazumitsu Sakai and Andreas Klümper

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We study an integrable model of one-dimensional strongly correlated electrons at finite temperature by explicit calculation of the correlation lengths of various correlation functions. The model is invariant with respect to the quantum superalgebra Uq(fraktur sfraktur l(2|1)) and characterized by the Hubbard interaction, correlated hopping and pair-hopping terms. Using the integrability, the graded quantum transfer matrix is constructed. From the analyticity of its eigenvalues, a closed set of nonlinear integral equations is derived which describe the thermodynamical quantities and the finite-temperature correlations. The results show a crossover from a regime with dominating density-density correlations to a regime with dominating superconducting pair correlations. Analytical calculations in the low-temperature limit are also discussed.


PACS

71.27.+a Strongly correlated electron systems; heavy fermions

71.10.Fd Lattice fermion models (Hubbard model, etc.)

02.10.Yn Matrix theory

MSC

17A70 Superalgebras

35Q58 Other completely integrable equations (See also 37J35, 37K10)

45G10 Other nonlinear integral equations

Subjects

Mathematical physics

Condensed matter: electrical, magnetic and optical

Dates

Issue 39 (5 October 2001)

Received 24 May 2001

Published 21 September 2001



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