Journal
PHYSICAL REVIEW A
Volume 93, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.93.062101
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Funding
- NSF [DMR-1054020]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1054020] Funding Source: National Science Foundation
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Aubry-Andre-Harper lattice models, characterized by a reflection-asymmetric sinusoidally varying nearest-neighbor tunneling profile, are well known for their topological properties. We consider the fate of such models in the presence of balanced gain and loss potentials +/- i gamma located at reflection-symmetric sites. We predict that these models have a finite PT-breaking threshold only for specific locations of the gain-loss potential and uncover a hidden symmetry that is instrumental to the finite threshold strength. We also show that the topological edge states remain robust in the PT-symmetry-broken phase. Our predictions substantially broaden the possible experimental realizations of a PT-symmetric system.
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