Crossover of Spin Correlations in One-Dimensional Hubbard Model Studied by Quantum Monte Carlo Method

Abstract

We investigate temperature dependence of spin correlations in the one-dimen-sional Hubbard model at or close to half filling by the quantum MonteCarlo method. The numerical data are analyzed by introducing acrossover generated from an interplay of the intrinsic correlationlength and the thermal correlation length. It provides a unifiedpicture of the spin correlation of the metallic phase near the Mottinsulator at finite temperatures. Our results show that the crossover, not taken account by the conventional renormalization group and theconformal field theory, becomes more and more important to understandthe spin correlation near the Mott transition point.