Hall conductance and topological invariant for open systems
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...
| Main Authors: | , , |
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| Format: | Online |
| Language: | English |
| Published: |
Nature Publishing Group
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4173040/ |
| Summary: | 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. |
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