Berlin 2012 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 101: Transport: Nanoelectronics II - Spintronics and Magnetotransport (jointly with TT, MA)

HL 101.3: Talk

Friday, March 30, 2012, 10:00–10:15, BH 243

Spin transistor action from Onsager reciprocity and SU(2) gauge theory — Inanc Adagideli¹, •Vitalij Lutsker², Matthias Scheid², Philippe Jacquod³, and Klaus Richter² — ¹Faculty of Engineering and Natural Sciences, Sabanci University, Istanbul, Turkey — ²Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany — ³Physics Department, University of Arizona, Tucson, USA

We construct a local gauge transformation to show how, in confined systems, a generic, weak non-homogeneous SU(2) spin-orbit Hamiltonian reduces to two U(1) Hamiltonians for spinless fermions at opposite magnetic fields, to leading order in the spin-orbit strength. Using an Onsager relation, we further show how the resulting spin conductance vanishes in a two-terminal setup, and how it is turned on by either weakly breaking time-reversal symmetry or opening additional transport terminals. We numerically check our theory for mesoscopic cavities as well as Aharonov-Bohm rings.