4.6 Article

Anderson localization transition in a robust PT-symmetric phase of a generalized Aubry-Andre model

Journal

PHYSICAL REVIEW A
Volume 103, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.103.L011302

Keywords

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Funding

  1. Australian Research Council's (ARC) Discovery Program [DP180102018, DP170104008, DE180100592, DP190100815]
  2. Australian Research Council [DE180100592] Funding Source: Australian Research Council

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We studied a generalized Aubry-Andre model that follows PT symmetry, and found a robust PT-symmetric phase that can support an Anderson localization transition. The model provides a perfect platform for studying disorder-driven localization phenomena in a PT-symmetric system.
We study a generalized Aubry-Andre model that obeys PT symmetry. We observe a robust PT-symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being non-Hermitian. This robust PT-symmetric phase can support an Anderson localization transition, giving a rich phase diagram as a result of the interplay between disorder and PT symmetry. Our model provides a perfect platform to study disorder-driven localization phenomena in a PT-symmetric system.

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