English

Correlation functions of an interacting spinless fermion model at finite temperature

Statistical Mechanics 2008-02-21 v2 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems, the equal-time one-particle Green's function at arbitrary particle density is expressed as a multiple integral form. Our formula reproduces previously known results in the following three limits: the zero-temperature, the infinite-temperature and the free fermion limits.

Keywords

Cite

@article{arxiv.0712.1399,
  title  = {Correlation functions of an interacting spinless fermion model at finite temperature},
  author = {Kohei Motegi and Kazumitsu Sakai},
  journal= {arXiv preprint arXiv:0712.1399},
  year   = {2008}
}

Comments

21 pages, v2: typos corrected, published version

R2 v1 2026-06-21T09:52:15.019Z