Coherent Transport Through a Quantum Trombone

N. K. Allsopp; C. J. Lambert

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arXiv · cond-mat/9403068

Coherent Transport Through a Quantum Trombone

N. K. Allsopp·C. J. Lambert

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Abstract

We highlight a new "transverse" interference effect, arising from the coupling between electrons and holes, induced by a superconducting island in contact with a normal metal. As an example we compute the electrical conductance G of a T-shaped mesoscopic sample, formed by joining a horizontal bar of normal metal to a vertical leg of the same material. With a superconducting island located on the vertical leg and the current flowing horizontally, we examine the dependence of G on the distance L of the island from the horizontal bar. Of particular interest is the differential conductance G(E) at an applied voltage E=eV, which due to quantum interference between electrons and Andreev reflected holes, is predicted to oscillate with both L and E. For a system with a spherical Fermi surface, the period of oscillation with E is 3.142 (E_F/k_FL) and with L is 3.142 (E_F/k_F E), where E_F is the Fermi energy and k_F the Fermi wavevector.

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N. K. Allsopp, C. J. Lambert. 1994-03-17. Coherent Transport Through a Quantum Trombone. https://arxiv.org/abs/cond-mat/9403068

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