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Localization Properties of Chern Insulators

Author(s)
Bezrukavnikov, Roman; Kapustin, Anton
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Abstract
Abstract We study the localization properties of the equal-time electron Green’s function in a Chern insulator in an arbitrary dimension and with an arbitrary number of bands. We prove that the Green’s function cannot decay super-exponentially if the Hamiltonian is finite-range and the quantum Hall response is nonzero. For a general band Hamiltonian (possibly infinite-range), we prove that the Green’s function cannot be finite-range if the quantum Hall response is nonzero. The proofs use methods of algebraic geometry.
Date issued
2019-03-08
URI
https://hdl.handle.net/1721.1/131471
Publisher
Springer International Publishing
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