Hall effect between parallel quantum wiresM. Kindermann
School of Physics, Georgia Institute of Technology - Atlanta, GA 30332, USA
received 9 June 2008; accepted in final form 1 July 2008; published August 2008
published online 16 July 2008
We study theoretically the parallel quantum wires of the experiment by Auslaender et al. (Science, 308 (2005) 88) at low electron density. It is shown that a Hall effect as observed in two- or three-dimensional electron systems develops as the wires enter the spin-incoherent regime of small spin bandwidth. This together with magnetic-field-dependent tunneling exponents clearly identifies spin incoherence in such experiments and it serves to distinguish it from disorder effects.
73.63.Nm - Quantum wires.
71.10.Pm - Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.).
71.27.+a - Strongly correlated electron systems; heavy fermions.
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