Anderson localization transition in a robust $\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model

• URL: http://arxiv.org/abs/2010.09510v2
• Date: Tue, 19 Jan 2021 00:06:01 GMT
• Title: Anderson localization transition in a robust $\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model
• Authors: Sebastian Schiffer and Xia-Ji Liu and Hui Hu and Jia Wang
• Abstract summary: We observe a robust $mathcalPT$-symmetric phase with respect to system size and disorder strength. Our model provides a perfect platform to study disorder-driven localization phenomena in a $mathcalPT$-symmetric system.
• Score: 2.9337710463496562
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study a generalized Aubry-Andre model that obeys $\mathcal{PT}$-symmetry. We observe a robust $\mathcal{PT}$-symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being non-hermitian. This robust $\mathcal{PT}$-symmetric phase can support an Anderson localization transition, giving a rich phase diagram as a result of the interplay between disorder and $\mathcal{PT}$-symmetry. Our model provides a perfect platform to study disorder-driven localization phenomena in a $\mathcal{PT}$-symmetric system.

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