论文标题
密切相关的哈伯德模型的直流霍尔系数
DC Hall coefficient of the strongly correlated Hubbard model
论文作者
论文摘要
霍尔系数与非互动和弱相互作用系统中有效的载体密度和费米表面拓扑有关。在密切相关的系统中，霍尔系数和单粒子性质之间的关系尚不清楚。澄清这种关系将使您深入了解缺乏良好形式的准颗粒的强相关材料的运输本质。在这项工作中，我们使用决定量的量子蒙特卡洛（Monte Carlo）以及最近开发的磁力传输系数在热力学敏感性方面研究了哈驼模型的直流霍尔系数。在扩展中的领先顺序上，我们观察到霍尔系数中的符号变化是温度和相互作用强度的函数，这与表观费米表面拓扑的变化有关。我们还将霍尔系数结果与光导率值相结合，以评估霍尔角度，以及基于金属的drude理论的有效迁移率和有效的质量。
The Hall coefficient is related to the effective carrier density and Fermi surface topology in noninteracting 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.
