The Hall coefficient is related to the effective carrier density and Fermi surface topology in non-interacting and weakly interacting systems. In strongly correlated systems, the relation between the Hall coefficient and single-particle properties is less clear. Clarifying this relation would give insight into the nature of transport in strongly correlated materials that lack well-formed quasiparticles. In this work, we investigate the DC Hall coefficient of the Hubbard model using determinant quantum Monte Carlo in conjunction with a recently developed expansion of magneto-transport coefficients in terms of thermodynamic susceptibilities. At leading order in the expansion, we observe a change of sign in the Hall coefficient as a function of temperature and interaction strength, which we relate to a change in the topology of the apparent Fermi surface. We also combine our Hall coefficient results with optical conductivity values to evaluate the Hall angle, as well as effective mobility and effective mass based on Drude theory of metals.

霍尔系数与非相互作用和弱相互作用系统中的有效载流子密度和费米表面拓扑有关。在强相关的系统中，霍尔系数与单粒子特性之间的关系不太清楚。澄清这种关系将使人们深入了解缺乏良好形式的准粒子的强相关材料中的运输性质。在这项工作中，我们使用行列式量子蒙特卡洛方法结合最近开发的热力学磁化系数，研究了哈伯德模型的直流霍尔系数。按照膨胀的先导顺序，我们观察到霍尔系数的符号随温度和相互作用强度的变化而变化，这与表观费米表面的拓扑变化有关。我们还将霍尔系数结果与光导率值结合起来，以基于金属的德鲁德理论评估霍尔角，有效迁移率和有效质量。