The Hall constant of correlated electrons: cluster calculation for Hubbard model

Abstract

We calculate the Hall constant R_H(ω, T) for the high T_c materials La_2-xSr_xCuO₄ and YBa₂Cu₃O_7-x using the 2D Hubbard model, on a cluster of dimension (2 × 3). Close to half filling, at low temperatures and high frequency, we find that R_H(ω) is electronlike in the weak correlation regime and in the strong correlation regime it is holelike with roughly 1/T + const form. At high frequencies, for La_2-xSr_xCuO₄ we obtain a change in the sign of R_H(ω) at x ≈ 0.3, which is in good agreement with the experimental data.