Coherent Transport Through a Quantum Trombone
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 Tshaped 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.
 Publication:

arXiv eprints
 Pub Date:
 March 1994
 arXiv:
 arXiv:condmat/9403068
 Bibcode:
 1994cond.mat..3068A
 Keywords:

 Condensed Matter
 EPrint:
 Tex. 4 figures available on request to: pyb064@cent1.lancs.ac.uk (Nick Allsopp)