Mirror skin effect and its electric circuit simulation
- URL: http://arxiv.org/abs/1912.12022v2
- Date: Thu, 28 May 2020 16:10:05 GMT
- Title: Mirror skin effect and its electric circuit simulation
- Authors: Tsuneya Yoshida, Tomonari Mizoguchi, and Yasuhiro Hatsugai
- Abstract summary: We propose a novel type of skin effects, a mirror skin effect, which results in significant dependence of energy spectrum on the boundary condition.
This effect arises from the topological properties characterized by a mirror winding number.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We analyze impacts of crystalline symmetry on the non-Hermitian skin effects.
Focusing on mirror symmetry, we propose a novel type of skin effects, a mirror
skin effect, which results in significant dependence of energy spectrum on the
boundary condition only for the mirror invariant line in the two-dimensional
Brillouin zone. This effect arises from the topological properties
characterized by a mirror winding number. We further reveal that the mirror
skin effect can be observed for an electric circuit composed of negative
impedance converters with current inversion where switching the boundary
condition significantly changes the admittance eigenvalues only along the
mirror invariant lines. Furthermore, we demonstrate that extensive localization
of the eigenstates for each mirror sector result in an anomalous voltage
response.
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