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A Strange Metal from Gutzwiller correlations in infinite dimensions : Transverse Transport, Optical Response and Rise of Two Relaxation Rates
2017-09-26  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

题目

A Strange Metal from Gutzwiller correlations in infinite dimensions : Transverse Transport, Optical Response and Rise of Two Relaxation Rates

Speaker

报告人

Dr. Wenxin Ding

Affiliation

所在单位

Kavli Institute of Theoretical Science, Chinese Academy of Sciences

Date

日期

2017年9月26日(周二)下午3:30

Venue

地点

Room 322, ITP
 

Abstract

摘要

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 $R_H$ and Hall angles $\theta_H$, and the longitudinal and transverse optical response of the $U=\infty$ 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 $\cot \theta_H$ is proportional to $T^2$ in the GCFL regime, while on warming into the GCSM regime it first passes through a downward bend and then continues as $T^2$. Equivalently, $R_H$ 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 $\sigma_{xx}(\omega)$ and the optical Hall angles $\tan \theta_H(\omega)$ 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).

Contact Person

所内联系人

田矗舜
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