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ac Josephson effect in resonant tunneling through mesoscopic superconducting junctions

Yu Zhu, Wei Li, Zhong-shui Ma, Tsung-han Lin, Qing-feng Sun

DOI 10.1103/PhysRevB.69.024518 · Physical Review B

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Abstract

We investigate the ac Josephson effect in resonant tunneling through mesoscopic superconducting junctions. In the presence of microwave irradiation, we show that the trajectory of multiple Andreev reflections can be closed by emitting or absorbing photons. Consequently, photon-assisted Andreev states are formed and play the role of carrying supercurrent. On the Shapiro steps [eV=(N/2)ħω], a dc component appears when the resonant level E0 is near the series of positions 12mħω, where N and m are integers, ω is the frequency of the microwave field, and V is the dc voltage across the superconducting junction. An analytical result is derived in the limit of Δ→∞, based on which new features of the ac Josephson effect are revealed.

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