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Robust<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow></mml:math>-symmetric chain and properties of its Hermitian counterpart
We study the properties of a parity- and time-reversal- ($\mathcal{P}\mathcal{T}$) symmetric tight-binding chain of size $N$ with position-dependent hopping amplitude. In contrast to the fragile $\mathcal{P}\mathcal{T}$-symmetric phase of a chain with constant hopping and imaginary impurity potentials, we show that, under very general conditions, our model is always in the …