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arXiv · 2010.09510

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

Sebastian Schiffer·Xia-Ji Liu·Hui Hu·Jia Wang
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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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Sebastian Schiffer, Xia-Ji Liu, Hui Hu, Jia Wang. 2020-10-19. Anderson localization transition in a robust $\mathcal{PT}$-symmetric phase of a generalized Aubry-Andre model. https://doi.org/10.1103/physreva.103.l011302

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