Correlation functions of an interacting spinless fermion model at finite temperature

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.

💡 Research Summary

The paper presents a comprehensive framework for calculating finite‑temperature correlation functions in a one‑dimensional interacting spinless fermion model. The Hamiltonian under study consists of a nearest‑neighbour hopping term with amplitude (t) and a density‑density interaction of strength (V): \