Correlation functions of an interacting spinless fermion model at finite temperature

Details Correlation functions of an interacting spinless fermion model at finite temperature Correlation functions of an interacting spinless fermion model at finite temperature

2007-12-10

arxiv.org/abs/0712.1399v2

J. Stat. Mech. (2008) P02005

Physics

Condensed Matter

Statistical Mechanics

21 pages, v2: typos corrected, published version

Scientific paper

10.1088/1742-5468/2008/02/P02005

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.

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