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Resonant transport through midgap states in voltage-biased Josephson junctions of d-wave superconductors
Institution:1. Instituut-Lorentz Universiteit Leiden, P.O. Box 9506 2300 RA, Leiden, The Netherlands;2. Dipartimento di Fisica, Università di Roma ‘Sapienza’, Piazzale Aldo Moro 5, I-00185, Roma, Italy;3. Istituto dei Sistemi Complessi CNR and CNISM Unità di Roma Sapienza, Italy;4. Dipartimento di Matematica e Fisica, Università Roma, Tre Via della Vasca Navale 84, 00146, Rome, Italy;5. Institut für Physik BTU Cottbus-Senftenberg, PBox 101344, D-03013, Cottbus, Germany;1. Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany;2. Rudolf Peierls Centre for Theoretical Physics, Oxford, 1 Keble Road, OX1 3NP, United Kingdom
Abstract:We study theoretically the ac Josephson effect in voltage-biased planar junctions of d-wave superconductors. For some orientations of the superconductors a current peak is found at finite voltage in the current–voltage characteristics. We pick out the relevant physical processes and write down an analytical formula for the current which clearly shows how the midgap state acts as a resonance and produces the peak. We present a possible explanation for the zero-bias conductance peak, recently found in experiments on grain boundary junctions of high-temperature superconductors, in terms of resonant transmission through midgap state of quasiparticles undergoing multiple Andreev reflections. We note that within our framework the zero-bias conductance peak appears in rather transparent Josephson junctions of d-wave superconductors.
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