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Using two approaches to strongly correlated systems, the extremely correlated Fermi liquid theory and the dynamical mean field theory, we compute the transverse transport coefficients, namely the Hall constants RH and Hall angles θH, and the longitudinal and transverse optical response of the U=∞ Hubbard model in the limit of infinite dimensions. {We focus} on two {successive} low-temperature regimes, the Gutzwiller correlated Fermi liquid (GCFL) and the Gutzwiller correlated strange metal (GCSM). We find that the Hall angle cotθH is proportional to T2 in the GCFL regime, while on warming into the GCSM regime it first passes through a downward bend and then continues as T2. Equivalently, RH is weakly temperature dependent in the GCFL regime, but becomes strongly temperature dependent in the GCSM regime. Drude peaks are found for both the longitudinal optical conductivity σxx(ω) and the optical Hall angles tanθH(ω) below certain characteristic energy scales. By comparing the relaxation rates extracted from fitting to the Drude formula, we find that in the GCFL regime there is a single relaxation rate controlling both longitudinal and transverse transport, while in the GCSM regime two different relaxation rates emerge. We trace the origin of this behavior to the dynamical particle-hole asymmetry of the Dyson self-energy, arguably a generic feature of doped Mott insulators.
Ref: arXiv: 1705.01914
Refs of ECFL: Phys. Rev. B 87, 125124 (2013), Annals of Physics 338, 283, (2013), Phys. Rev. B 94, 045138 (2016).
丁文新博士于2006年于浙江大学获得本科学位，并与2012年在佛罗里达州立大学(Florida State University)获得博士学位。之后先后于2012-2015年期间在莱斯大学(Rice University)，已经2015-2017年在加州大学Santa Cruz分校从事研究工作。丁文新博士的主要研究方向有：量子纠缠，石墨烯，近期主要关注强关联电子系统包括，t-J模型，Hubbard模型及其对铜氧化物超导体等相关材料的应用。并在PRX, PRB, PRA等国际学术期刊上发表多篇学术论文。