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Generalized Aubry-André-Harper model with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-wave superconducting pairing

Generalized Aubry-André-Harper model with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-wave superconducting pairing

We investigate a generalized Aubry-Andr\'e-Harper (AAH) model with $p$-wave superconducting pairing. Both the hopping amplitudes between the nearest-neighboring lattice sites and the on-site potentials in this system are modulated by a cosine function with a periodicity of $1/\ensuremath{\alpha}$. In the incommensurate case $[\ensuremath{\alpha}=\left(\sqrt{5}\ensuremath{-}1\right)/2]$, due to the modulations on the hopping …