Topological Field Theory of Non-Hermitian Systems
- URL: http://arxiv.org/abs/2011.11449v2
- Date: Mon, 15 Feb 2021 06:22:14 GMT
- Title: Topological Field Theory of Non-Hermitian Systems
- Authors: Kohei Kawabata, Ken Shiozaki, Shinsei Ryu
- Abstract summary: We develop a field-theoretical description of the intrinsic non-Hermitian topological phases.
Because of the dissipative and nonequilibrium nature of non-Hermiticity, our theory is formulated solely in terms of spatial degrees of freedom.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-Hermiticity gives rise to unique topological phases without Hermitian
analogs. However, the effective field theory has yet to be established. Here,
we develop a field-theoretical description of the intrinsic non-Hermitian
topological phases. Because of the dissipative and nonequilibrium nature of
non-Hermiticity, our theory is formulated solely in terms of spatial degrees of
freedom, which contrasts with the conventional theory defined in spacetime. It
provides the universal understanding about non-Hermitian topological phenomena,
such as the unidirectional transport in one dimension and the chiral magnetic
skin effect in three dimensions. Furthermore, it systematically predicts new
physics; we illustrate this by revealing transport phenomena and skin effects
in two dimensions induced by a perpendicular spatial texture. From the
field-theoretical perspective, the non-Hermitian skin effect, which is
anomalous localization due to non-Hermiticity, is shown to be a signature of an
anomaly.
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