Correlated one-dimensional electron systems: Luttinger liquid properties and deviations at finite temperature

Abstract

We present results of a novel treatment of finite temperature properties of the one-dimensional Hubbard model based on a Trotter–Suzuki mapping and a subsequent investigation of the quantum transfer matrix. Data are obtained for the specific heat, magnetic and charge susceptibilities for various particle densities and coupling strengths U. Special emphasis is placed on the study of the low-temperature behavior within our ab initio approach confirming the scaling predictions by Tomonaga–Luttinger liquid theory. The physical properties at finite temperature outside the universal Tomonaga–Luttinger liquid range are compared for the Hubbard and the supersymmetric tJ model. In particular the charge susceptibility shows interesting non-universal signatures.