Effect of superconducting correlation on the localization of quasiparticles in low dimensions

Tao Xiang

doi:10.1103/PhysRevB.52.6204

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Effect of superconducting correlation on the localization of quasiparticles in low dimensions

Tao Xiang

DOI 10.1103/PhysRevB.52.6204 · Physical Review B

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Abstract

Localization lengths of superconducting quasiparticles λs are evaluated and compared with the corresponding normal-state values λn in one-dimensional (1D) and two-dimensional lattices. The effect of superconducting correlation on the localization of quasiparticles is generally stronger in an off-site pairing state than in an on-site pairing state. The modification of superconducting correlation to λ is strongly correlated with the density of states (DOS) of superconducting quasiparticles. λs drops within the energy gap but is largely enhanced around energies where DOS peaks appear. For a gapless pairing state in 1D or a d-wave pairing state in 2D, λs/λn at the Fermi energy EF is of order 1 and determined purely by the value of gap parameter not by the random potential. For the d-wave pairing state, the localization effect is largely weakened compared with the corresponding normal state and quasiparticles with energies close to EF are more strongly localized than other low-energy quasiparticles.