Abstract
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 term is analytically derived for the effective nonlinear 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 models and gauge response theories, respectively, for -dimensional topological insulators, -dimensional chiral fermions, -dimensional chiral semimetals, and -dimensional topological insulators with being a positive integer.
- Received 28 December 2014
DOI:https://doi.org/10.1103/PhysRevLett.114.206602
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