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 - Quantum interference from superconducting islands in a mesoscopic solid
AU - Lambert, Colin
PY - 1993/2/8
Y1 - 1993/2/8
N2 - By computing Andreev scattering coefficients for a three-dimensional disordered solid containing superconducting inclusions and evaluating a generalized Landauer-Buttiker formula for the two-probe electrical conductance G, an intuitive result is obtained for the dependence of G on the phase of the superconductors. For the simplest case of two inclusions, it is shown that G varies periodically with the phase difference phi of the superconducting islands, with period 2pi. For more than two inclusions, beating can occur. It the superconductors are decoupled, G varies periodically with time, at the Josephson frequency. If the superconductors are weakly coupled, this behaviour is preceded by a time-independent regime in which phi increases with the externally applied voltage, while G changes non-monotonically. It is demonstrated that at least in the presence of single-channel external leads, the ensemble averaged conductance of a highly disordered system varies periodically with period 2pi, in contrast with a periodicity of pi found for weakly localized systems.
AB - By computing Andreev scattering coefficients for a three-dimensional disordered solid containing superconducting inclusions and evaluating a generalized Landauer-Buttiker formula for the two-probe electrical conductance G, an intuitive result is obtained for the dependence of G on the phase of the superconductors. For the simplest case of two inclusions, it is shown that G varies periodically with the phase difference phi of the superconducting islands, with period 2pi. For more than two inclusions, beating can occur. It the superconductors are decoupled, G varies periodically with time, at the Josephson frequency. If the superconductors are weakly coupled, this behaviour is preceded by a time-independent regime in which phi increases with the externally applied voltage, while G changes non-monotonically. It is demonstrated that at least in the presence of single-channel external leads, the ensemble averaged conductance of a highly disordered system varies periodically with period 2pi, in contrast with a periodicity of pi found for weakly localized systems.
U2 - 10.1088/0953-8984/5/6/007
DO - 10.1088/0953-8984/5/6/007
M3 - Journal article
VL - 5
SP - 707
EP - 716
JO - Journal of Physics: Condensed Matter
JF - Journal of Physics: Condensed Matter
SN - 0953-8984
IS - 6
ER -