Date : May. 26 (Fri.), 2023, 16:00~17:00
Place : A615 and On Zoom (Hybrid)
Speaker : Masaki Oshikawa
Affiliation : ISSP
Title : Drude weights and f-sum rules for linear and nonlinear conductivities
Abstract:
Conductivity is one of the most important characteristics of materials. Nonlinear conductivities are of increasing experimental and theoretical interest recently, but the subject is largely open. I will discuss our recent approach to the fundamentals of the nonlinear conductivities. An application of a spatially uniform electric field can be
formulated as an insertion of Aharonov-Bohm flux. By considering the energy
gain of the system in the two opposite limits of flux insertion --- adiabatic
and sudden, we can derive the two renowned formulae on linear conductivities:
Kohn formula for Drude weights and the f-sum rule, in a unified manner.
Furthermore, they can be naturally generalized to all orders of nonlinear
conductivities.
The Drude weight obtained from the nonlinear generalization of Kohn formula
often turns out to be divergent. We argue that the divergence is due to the
order of limits intrinsic to the Kohn formula, in which the adiabatic (zero
frequency) limit is taken before the thermodynamic limit. References:
1. Watanabe and M. O., Phys. Rev. B 102, 165137 (2020).
2. Watanabe, Y. Liu, and M. O., J. Stat.Phys.181, 2050 (2020).
3.Takasan, M.O., and H. Watanabe, Phys.Rev. B 107, 075141 (2023).
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Once you make a registration below, you will get the access information of Zoom by e-mail.
Contact : Masaki Oshiwaka(ext. 63275)
e-mail: oshiwaka@issp.u-tokyo.ac.jp