Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session A08: Topological Insulator: General Theory
8:00 AM–11:00 AM,
Monday, March 5, 2018
LACC Room: 153C
Sponsoring Unit: DCMP
Chair: Daniel Bulmash, University of Maryland-College Park
Abstract: A08.00003 : New topological invariants in non-Hermitian systems
8:24 AM–8:36 AM
Recently developed parity (P) and time-reversal (T) symmetric non-Hermitian (NH) systems govern a rich variety of new and characteristically distinct physical properties, which may or may not have a direct analog in their Hermitian counterparts. Owing to the PT-invariance as well as loss of hermiticity of the Hamiltonians, the usual topological invariants do not necessarily appear in this case. Recalling the fact that in PT-symmetric NH Hamiltonians, positive inner products of the eigenstates require the presence of a hidden symmetry, often termed as ‘C’-symmetry. We show that with the help of the C-symmetry, new topological invariants can be constructed in the NH Hamiltonians. We will present variety of examples with characteristically distinct topological invariants.
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