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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
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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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