The Hall coefficient of the strongly interacting square lattice Hubbard model is calculated for temperatures between the antiferromagnetic interaction and the Mott gap scales. The leading order thermodynamic formula is evaluated for all doping concentrations. Second-order corrections of the thermodynamic formula are calculated and found to be negligible. The Hall coefficient diverges toward the Mott insulator. Below 45% doping the Hall sign is reversed relative to band structure-based Boltzmann’s equation. These results elucidate the effects of the Mott insulator on the charge carriers and their non-Fermi liquid transport.

中文翻译：

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掺杂莫特绝缘体的霍尔异常

强相互作用方晶格哈伯德模型的霍尔系数是针对反铁磁相互作用和莫特间隙尺度之间的温度计算的。针对所有掺杂浓度评估主阶热力学公式。计算了热力学公式的二阶修正，发现可以忽略不计。霍尔系数向莫特绝缘体发散。低于 45% 的掺杂，霍尔符号相对于基于能带结构的玻尔兹曼方程是相反的。这些结果阐明了莫特绝缘体对电荷载流子及其非费米液体传输的影响。