English

Finite temperature correlations for the U_q(sl(2|1))-invariant generalized Hubbard model

Statistical Mechanics 2019-12-20 v2 Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

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(sl(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 non-linear 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.

Keywords

Cite

@article{arxiv.cond-mat/0105416,
  title  = {Finite temperature correlations for the U_q(sl(2|1))-invariant generalized Hubbard model},
  author = {Andreas Kluemper and Kazumitsu Sakai},
  journal= {arXiv preprint arXiv:cond-mat/0105416},
  year   = {2019}
}

Comments

40 pages, 19 figures