TY - JOUR

T1 - Generalized Landauer formulae for quasi-particle transport in disordered superconductors

AU - Lambert, Colin

PY - 1991/8/26

Y1 - 1991/8/26

N2 - When a quasi-particle current passes into a disordered superconductor, from ideal normal leads connected to external reservoirs, a finite electrical resistance R(S) arises from scattering processes within the superconductor. A new formula for R(S) is obtained, which reduces to the well-known Landauer formula in the absence of superconductivity. If R0, R(a) (T0, T(a)) are reflection (transmission) coefficients associated with normal and Andreev scattering respectively, one finds, in one dimension at zero temperature, R(S) = (h/2e2)(R0 + T(a) + delta)/(R(a) + T0 - delta) where delta is a small parameter arising from the absence of inversion symmetry. Generalizations of this result to finite temperatures and higher dimensions are also obtained.

AB - When a quasi-particle current passes into a disordered superconductor, from ideal normal leads connected to external reservoirs, a finite electrical resistance R(S) arises from scattering processes within the superconductor. A new formula for R(S) is obtained, which reduces to the well-known Landauer formula in the absence of superconductivity. If R0, R(a) (T0, T(a)) are reflection (transmission) coefficients associated with normal and Andreev scattering respectively, one finds, in one dimension at zero temperature, R(S) = (h/2e2)(R0 + T(a) + delta)/(R(a) + T0 - delta) where delta is a small parameter arising from the absence of inversion symmetry. Generalizations of this result to finite temperatures and higher dimensions are also obtained.

U2 - 10.1088/0953-8984/3/34/003

DO - 10.1088/0953-8984/3/34/003

M3 - Journal article

VL - 3

SP - 6579

EP - 6587

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

SN - 0953-8984

IS - 34

ER -