Anomalous Edge State in a Non-Hermitian Lattice - INSPIRE

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Anomalous Edge State in a Non-Hermitian Lattice

Tony E. Lee

Apr 1, 2016

Published in:

Phys.Rev.Lett. 116 (2016) 13, 133903

Published: Apr 1, 2016

DOI:

10.1103/PhysRevLett.116.133903

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Abstract: (APS)

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is described by a non-Hermitian Hamiltonian that encircles an exceptional point in momentum space. The winding number has a fractional value of

1/2

. There is only one dynamically stable zero-energy edge state due to the defectiveness of the Hamiltonian. This edge state is robust to disorder due to protection by a chiral symmetry. We also discuss experimental realization with arrays of coupled resonator optical waveguides.

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