6533b871fe1ef96bd12d1be1

RESEARCH PRODUCT

Time-dependent Landauer-B\"uttiker formalism for superconducting junctions at arbitrary temperatures

Robert Van LeeuwenEnrico PerfettoGianluca StefanucciGianluca StefanucciRiku Tuovinen

subject

Density matrixSuperconductivityPhysicsHistoryCondensed Matter - Mesoscale and Nanoscale PhysicsComputationCondensed Matter - SuperconductivityEquations of motionClosed expressionComputer Science ApplicationsEducationSettore FIS/03 - Fisica della MateriaFormalism (philosophy of mathematics)Physics and Astronomy (all)Special functionsQuantum mechanics

description

We discuss an extension of our earlier work on the time-dependent Landauer--B\"uttiker formalism for noninteracting electronic transport. The formalism can without complication be extended to superconducting central regions since the Green's functions in the Nambu representation satisfy the same equations of motion which, in turn, leads to the same closed expression for the equal-time lesser Green's function, i.e., for the time-dependent reduced one-particle density matrix. We further write the finite-temperature frequency integrals in terms of known special functions thereby considerably speeding up the computation. Numerical simulations in simple normal metal -- superconductor -- normal metal junctions are also presented.

yearjournalcountryeditionlanguage
2015-10-31
10.1088/1742-6596/696/1/012016http://arxiv.org/abs/1511.00109