Disordered Weyl Semimetals and Their Topological Family
We develop a topological theory for disordered Weyl semimetals in the framework of the gauge invariance of the replica formalism and boundary-bulk correspondence of Chern insulators. An anisotropic topological θ term is analytically derived for the effective nonlinear σ model. It is this nontrivial...
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| Published in | Physical review letters Vol. 114; no. 20; p. 206602 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
22.05.2015
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| Online Access | Get more information |
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| Summary: | We develop a topological theory for disordered Weyl semimetals in the framework of the gauge invariance of the replica formalism and boundary-bulk correspondence of Chern insulators. An anisotropic topological θ term is analytically derived for the effective nonlinear σ model. It is this nontrivial topological term that ensures that the bulk transverse transport of Weyl semimetals is robust against disorders. Moreover, we establish a general diagram that reveals the intrinsic relations among topological terms in the nonlinear σ models and gauge response theories, respectively, for (2n+2)-dimensional topological insulators, (2n+1)-dimensional chiral fermions, (2n+1)-dimensional chiral semimetals, and (2n)-dimensional topological insulators with n being a positive integer. |
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| ISSN: | 1079-7114 |
| DOI: | 10.1103/PhysRevLett.114.206602 |