Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Boundary conditions for quasiclassical equations in the theory of superconductivity
AU - Lambert, C. J.
AU - Raimondi, R.
AU - Sweeney, V.
AU - Volkov, A. F.
PY - 1997/3/1
Y1 - 1997/3/1
N2 - In this paper we derive effective boundary conditions connecting the quasiclassical Green's function through tunnel barriers in superconducting-normal hybrid (S-N or S-S') structures in the dirty limit. Our work extends previous treatments confined to the small transparency limit. This is achieved by an expansion in the small parameter r(-1) = T/2(1 - T) where T is the transparency of the barrier. We calculate the next term in the r(-1) expansion for both the;normal and, the superconducting case. In both cases this involves the solution of an integral equation, which we obtain numerically. While in the normal case our treatment only leads to a quantitative change in the barrier resistance Rb, in the superconductor case, qualitative different boundary conditions are derived. To illustrate the physical consequences of the modified boundary conditions, we calculate the Josephson current and show that the next term in the r(-1) expansion gives rise to the second harmonic in the current-phase relation.
AB - In this paper we derive effective boundary conditions connecting the quasiclassical Green's function through tunnel barriers in superconducting-normal hybrid (S-N or S-S') structures in the dirty limit. Our work extends previous treatments confined to the small transparency limit. This is achieved by an expansion in the small parameter r(-1) = T/2(1 - T) where T is the transparency of the barrier. We calculate the next term in the r(-1) expansion for both the;normal and, the superconducting case. In both cases this involves the solution of an integral equation, which we obtain numerically. While in the normal case our treatment only leads to a quantitative change in the barrier resistance Rb, in the superconductor case, qualitative different boundary conditions are derived. To illustrate the physical consequences of the modified boundary conditions, we calculate the Josephson current and show that the next term in the r(-1) expansion gives rise to the second harmonic in the current-phase relation.
U2 - 10.1103/PhysRevB.55.6015
DO - 10.1103/PhysRevB.55.6015
M3 - Journal article
VL - 55
SP - 6015
EP - 6021
JO - Physical review B
JF - Physical review B
SN - 0163-1829
IS - 9
ER -