Adiabatic vs Sudden Flux Insertion and Nonlinear Electric Conductivity
The adiabatic insertion of the magnetic flux through a ring can be regarded as an application of an infinitesimal uniform electric field on the ring-shaped system over a long period of time.
This can induce a “persistent current” which does not decay in the ideal limit. The coefficient of proportionality corresponds to Drude weight. On the other hand, we can consider the limit of instantaneous flux insertion, which produces a delta-function pulse of the electric field. This may be also regarded as a particular type of a quantum quench process. By considering these two limits of the flux insertion, we can understand the Kohn formula for the Drude weight and the f-sum rule of the AC conductivity in a unified manner. In this picture, both the Kohn formula and the f-sum rule can be naturally extended to nonlinear electric conductivity at all orders.
Chair: Yong-Baek Kim
This event is jointly organized by the Korea Institute for Advanced Study and the University of Tokyo. “Correlated Electrons Virtual International Seminars (CEVIS)” https://sites.google.com/view/cevis2020/home