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4 September 2020 to 2 October 2020
Europe/Athens timezone
After the physical conference, an internet only session took place 1 and 2 October 2020. This program appears in the timetable as well.

Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field

8 Sept 2020, 16:30
25m
Room 2

Room 2

Speaker

Chunxu Zhang (Ariel University)

Description

The quantum Hall conductivity in the presence of constant magnetic field may be represented as the topological TKNN invariant. Recently the generalization of this expression has been proposed for the non - uniform magnetic field. The quantum Hall conductivity is represented as the topological invariant in phase space in terms of the Wigner transformed two - point Green function. This representation has been derived when the inter - electron interactions were neglected. It is natural to suppose, that in the presence of interactions the Hall conductivity is still given by the same expression, in which the non - interacting Green function is substituted by the complete two - point Green function including the interaction contributions. We prove this conjecture within the framework of the 2+1 D tight - binding model of rather general type using the ordinary perturbation theory.

Details

Chunxu Zhang

Is this abstract from experiment? No
Name of experiment and experimental site N/A
Is the speaker for that presentation defined? Yes
Internet talk Yes

Authors

Chunxu Zhang (Ariel University) Mikhail Zubkov (Ariel University, Israel and ITEP, Russia)

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