Stability of quasiperiodic superconductors

Nicole S. Ticea; Julian May-Mann; Jiewen Xiao; Erez Berg; Trithep Devakul

doi:10.1103/PhysRevB.110.L060501

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Stability of quasiperiodic superconductors

Nicole S. Ticea, Julian May-Mann, Jiewen Xiao, Erez Berg, Trithep Devakul

DOI 10.1103/PhysRevB.110.L060501 · Physical Review B

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Abstract

We study the effects of quasiperiodicity on the stability of conventional and unconventional superconductors. Quasiperiodicity is modeled using the three-dimensional Aubry-André (AA) model, a system in which electrons are coupled to a translation-symmetry-breaking potential that is incommensurate with the underlying lattice. Upon increasing the strength of the quasiperiodic potential, the single-particle eigenstates undergo a transition from ballistic to diffusive character. We find that, in the ballistic regime, the system a weak-coupling instability towards both s-wave and p-wave superconductivity. In contrast, only the conventional s-wave instability survives in the diffusive regime. Our result suggest a version of Anderson's theorem for quasiperiodic systems, relating the normal state dynamics to the stability of conventional and unconventional superconductivity.