Hall conductivity as topological invariant in phase space
Seminar
QUEST Center event
No
Speaker
Ignat Fialkovskiy
Date
19/12/2019 - 14:30Add to Calendar
2019-12-19 14:30:00
2019-12-19 14:30:00
Hall conductivity as topological invariant in phase space
It is well known that quantum Hall conductivity in the presence of a constant magnetic field is expressed through the topological TKNN invariant. The same invariant is responsible for the intrinsic anomalous quantum Hall effect. We propose a generalization of these expressions to the QHE in the presence of non-uniform external fields. Our approach is based on purposely developed lattice Wigner-Weyl formalism, giving the Hall conductivity in terms of Weyl symbols of the two-point Green's function. It is shown to be topological invariant in the phase space of the system.
Resnick conference room - building 209 2nd floor
Department of Physics
physics.dept@mail.biu.ac.il
Asia/Jerusalem
public
Place
Resnick conference room - building 209 2nd floor
Abstract
It is well known that quantum Hall conductivity in the presence of a constant magnetic field is expressed through the topological TKNN invariant. The same invariant is responsible for the intrinsic anomalous quantum Hall effect. We propose a generalization of these expressions to the QHE in the presence of non-uniform external fields. Our approach is based on purposely developed lattice Wigner-Weyl formalism, giving the Hall conductivity in terms of Weyl symbols of the two-point Green's function. It is shown to be topological invariant in the phase space of the system.
Last Updated Date : 12/12/2019
