Three-Dimensional Chiral Lattice Fermion in Floquet Systems
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Journal:
Physical review letters
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Abstract:
We show that the Nielsen-Ninomiya no-go theorem still holds on a Floquet lattice: there is an equal number of right-handed and left-handed Weyl points in a three-dimensional Floquet lattice. However, in the adiabatic limit, where the time evolution of the low-energy subspace is decoupled from the high-energy subspace, we show that the bulk dynamics in the low-energy subspace can be described by Floquet bands with extra left-or right-handed Weyl points, despite the no-go theorem. Assuming adiabatic evolution of two bands, we show that the difference of the number of right-handed and …
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Volume:
121
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Issue:
19
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Page Number:
196401
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Translation or Not:
no
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Date of Publication:
2018-11-07
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Links to published journals:
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.196401