Anderson localization transition in a robust $\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model
Disordered Systems and Neural Networks
2021-02-03 v2 Quantum Gases
Quantum Physics
Abstract
We study a generalized Aubry-Andre model that obeys -symmetry. We observe a robust -symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being non-hermitian. This robust -symmetric phase can support an Anderson localization transition, giving a rich phase diagram as a result of the interplay between disorder and -symmetry. Our model provides a perfect platform to study disorder-driven localization phenomena in a -symmetric system.
Keywords
Cite
@article{arxiv.2010.09510,
title = {Anderson localization transition in a robust $\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model},
author = {Sebastian Schiffer and Xia-Ji Liu and Hui Hu and Jia Wang},
journal= {arXiv preprint arXiv:2010.09510},
year = {2021}
}