Disordered Weyl Semimetals and Their Topological Family.
Disordered Weyl Semimetals and Their Topological Family.
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DOI：
10.1103/physrevlett.114.206602
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发表时间：
2014-12
影响因子：
8.6
通讯作者：
Y. Zhao;Z. D. Wang-Z. D.-Wang-2128691004
中科院分区：
文献类型：
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作者：
Y. Zhao;Z. D. Wang-Z. D.-Wang-2128691004
我们在复制形式的规范不变性和Chern绝缘子的边界-体对应的框架下，建立了无序Weyl半金属的拓扑理论。对有效的非线性σ模型，导出了各向异性拓扑θ项。正是这一非平凡的拓扑项保证了Weyl半金属的体横向输运对无序的鲁棒性。此外，我们还分别建立了（2n+2）维拓扑绝缘子、（2n+1）维手性费米子、（2n+1）维手性半金属和（2n）维拓扑绝缘子（n为正整数）的非线性σ模型和规范响应理论中拓扑项之间的内在关系的通图。
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.