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Coherent transport through a T-shaped mesoscopic superconducting junction

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<mark>Journal publication date</mark>1/08/1994
<mark>Journal</mark>Physical Review B
Issue number6
Number of pages5
Pages (from-to)3972-3976
<mark>Original language</mark>English


We highlight a ''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 piE(F)/k(F)L and with L is piE(F)/k(F)E, where E(F) is the Fermi energy and k(F) the Fermi wave vector.