Home > Research > Publications & Outputs > Boundary conditions for quasiclassical equation...

Associated organisational unit

View graph of relations

Boundary conditions for quasiclassical equations in the theory of superconductivity

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

Boundary conditions for quasiclassical equations in the theory of superconductivity. / Lambert, C. J. ; Raimondi, R. ; Sweeney, V. et al.
In: Physical review B, Vol. 55, No. 9, 01.03.1997, p. 6015-6021.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Lambert, CJ, Raimondi, R, Sweeney, V & Volkov, AF 1997, 'Boundary conditions for quasiclassical equations in the theory of superconductivity', Physical review B, vol. 55, no. 9, pp. 6015-6021. https://doi.org/10.1103/PhysRevB.55.6015

APA

Lambert, C. J., Raimondi, R., Sweeney, V., & Volkov, A. F. (1997). Boundary conditions for quasiclassical equations in the theory of superconductivity. Physical review B, 55(9), 6015-6021. https://doi.org/10.1103/PhysRevB.55.6015

Vancouver

Lambert CJ, Raimondi R, Sweeney V, Volkov AF. Boundary conditions for quasiclassical equations in the theory of superconductivity. Physical review B. 1997 Mar 1;55(9):6015-6021. doi: 10.1103/PhysRevB.55.6015

Author

Lambert, C. J. ; Raimondi, R. ; Sweeney, V. et al. / Boundary conditions for quasiclassical equations in the theory of superconductivity. In: Physical review B. 1997 ; Vol. 55, No. 9. pp. 6015-6021.

Bibtex

@article{13bb791cea43459685a76395ff389dd9,
title = "Boundary conditions for quasiclassical equations in the theory of superconductivity",
abstract = "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.",
author = "Lambert, {C. J.} and R. Raimondi and V. Sweeney and Volkov, {A. F.}",
year = "1997",
month = mar,
day = "1",
doi = "10.1103/PhysRevB.55.6015",
language = "English",
volume = "55",
pages = "6015--6021",
journal = "Physical review B",
issn = "0163-1829",
publisher = "AMER PHYSICAL SOC",
number = "9",

}

RIS

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 -