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arxiv: 1609.00884 · v3 · pith:NHXNC7NWnew · submitted 2016-09-04 · ❄️ cond-mat.mes-hall · hep-th

Boundary Conditions of Weyl Semimetals

Koji Hashimoto , Taro Kimura , Xi Wu This is my paper
classification ❄️ cond-mat.mes-hall hep-th
keywords boundaryparameterconditionsgenericweylarcsconditionconsistent
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We find that generic boundary conditions of Weyl semimetal is dictated by only a single real parameter, in the continuum limit. We determine how the energy dispersions (the Fermi arcs) and the wave functions of edge states depend on this parameter. Lattice models are found to be consistent with our generic observation. Furthermore, the enhanced parameter space of the boundary condition is shown to support a novel topological number.

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  1. Boundary Condition Analysis of First and Second Order Topological Insulators

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    Derives dispersion relations for edge and hinge states from boundary conditions on Dirac lattice models and shows that nontrivial topology of a gapped edge state ensures a gapless hinge state.