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Theoretical and Mathematical Physics

Integration over a superalgebra in the hubbard model with a strong correlation

V. S. Kapitonov, P. A. Sevastyanov

Published May 1, 1996• 1 citation
Publisher
DOI
10.1007/bf02071377

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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 U q ( (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.