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Hall conductance and topological invariant for open systems.


ABSTRACT: The Hall conductivity given by the Kubo formula is a linear response of quantum transverse transport to a weak electric field. It has been intensively studied for quantum systems without decoherence, but it is barely explored for systems subject to decoherence. In this paper, we develop a formulism to deal with this issue for topological insulators. The Hall conductance of a topological insulator coupled to an environment is derived, the derivation is based on a linear response theory developed for open systems in this paper. As an application, the Hall conductance of a two-band topological insulator and a two-dimensional lattice is presented and discussed.

SUBMITTER: Shen HZ 

PROVIDER: S-EPMC4173040 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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