Abstract
Abstract We study resonant properties of an SIS′IS junction with quantized Andreev bound states (ABS); here S, S′ and I denote a superconductor, a superconductor with a smaller energy gap and an insulating barrier, respectively. Using the quasiclassical approach we compute the local electron density of states, spatial extent of the quantized states and inelastic electron-phonon recombination rate versus junction transparency, non-magnetic impurity concentration, and the thickness of the middle layer. We find that the local electron density of states in a low-transparency limit has sharp peaks at the ABS level positions while the inelastic electron-phonon recombination time, τe−p (e), associated with an ABS level E0 is a sharp function of energy variable e and diverges at e = E0.
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