论文标题
大厅地图和莫特绝缘子附近费米液体理论的细分
Hall map and breakdown of Fermi liquid theory in the vicinity of a Mott insulator
论文作者
论文摘要
霍尔系数在轻度掺杂的莫特绝缘子中表现出异常行为。对于强烈相互作用的电子，其计算已受到分析和数值障碍的挑战。我们计算了HALL系数最近衍生的热力学公式的主要贡献。我们在高温下获得了平方晶格TJ模型的掺杂和温度依赖性。评估二阶校正可忽略不计。量子蒙特卡洛采样将我们的结果扩展到较低的温度。我们发现霍尔系数向Mott限制的差异和相对于Boltzmann方程弱散射预测的符号逆转。莫特阶段附近的霍尔电流由低密度的自旋式空缺携带，这应构成库珀对在较低温度下的任何超导阶段。
The Hall coefficient exhibits anomalous behavior in lightly doped Mott insulators. For strongly interacting electrons its computation has been challenged by analytical and numerical obstacles. We calculate the leading contributions in the recently derived thermodynamic formula for the Hall coefficient. We obtain its doping and temperature dependence for the square lattice tJ-model at high temperatures. The second order corrections are evaluated to be negligible. Quantum Monte Carlo sampling extends our results to lower temperatures. We find a divergence of the Hall coefficient toward the Mott limit and a sign reversal relative to Boltzmann equation's weak scattering prediction. The Hall current near the Mott phase is carried by a low density of spin-entangled vacancies, which should constitute the Cooper pairs in any superconducting phase at lower temperatures.
