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We study a generalized Aubry-Andre model that obeys $\mathcal{PT}$-symmetry.We observe a robust $\mathcal{PT}$-symmetric phase with respect to system sizeand disorder strength, where all eigenvalues are real despite the Hamiltonianbeing non-hermitian. This robust $\mathcal{PT}$-symmetric phase can support anAnderson localization transition, giving a rich phase diagram as a result ofthe interplay between disorder and $\mathcal{PT}$-symmetry. Our model providesa perfect platform to study disorder-driven localization phenomena in a$\mathcal{PT}$-symmetric system.

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