Relating the Hall conductivity to the many-body Chern number using Fermi’s Golden rule and Kramers–Kronig relations

This work provides a surprisingly simple demonstration that the quantized Hall conductivity of correlated insulators is given by the many-body Chern number, a topological invariant defined in the space of twisted boundary conditions. In contrast to conventional proofs, generally based on the Kubo fo...

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Bibliographic Details
Main Authors: Goldman, Nathan, Ozawa, Tomoki
Format: Article
Language:English
Published: Académie des sciences 2024-09-01
Series:Comptes Rendus. Physique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.191/
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