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Double Quantum Wire Magnetic Response

Published online by Cambridge University Press:  10 February 2011

Anatoly Yu. Smirnov
Affiliation:
D-WaveSystems Inc., 320–1985 W. Broadway Vancouver, British Columbia, Canada V6J 4Y3
Lev G. Mourokh
Affiliation:
Department of Physics and Engineering Physics, Stevens Institute of Technology, Hoboken, NJ 07030
Norman J.M. Horing
Affiliation:
Department of Physics and Engineering Physics, Stevens Institute of Technology, Hoboken, NJ 07030
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Abstract

The induced magnetic moment of a biased semiconductor tunnel-coupled parallel double quantum wire system is examined here. The wires are in a series arrangement with tunnel coupling to each other and to leads. Their parallel lengths and associated continuous spectrum are taken in the direction perpendicular to the lead-to-lead current. The equations of motion for the double-wire electron Green's function are formulated and analyzed using the transfer-tunneling Hamiltonian formalism. We determine the average magnetic moment of the double-wire system induced by a magnetic field applied perpendicular to the plane of the structure and we show that there are crossovers between diamagnetic and paramagnetic behavior, depending on the bias voltage, equilibrium chemical potential of the leads and temperature.

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