Hall effect between parallel quantum wires

Abstract

We study theoretically the parallel quantum wires of the experiment by Auslaender et al. [Science 308, 88 (2005)] at low electron density. It is shown that a Hall effect as observed in two- or three-dimensional electron systems develops as one of the two wires enters 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.

5 pages, 2 figures, missing summation added to Eq. (6), more thorough discussion of the experimental signatures

References in corpus (10)

• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Spin-charge separation and localization in one-dimension
• Conductance of a quantum wire in the Wigner crystal regime
• The spin-incoherent Luttinger liquid
• Green's function for magnetically incoherent interacting electrons in one dimension
• Interference and zero-bias anomaly in tunneling between Luttinger-liquid wires
• Theory of momentum resolved tunneling into a short quantum wire
• Interference as a Probe of Spin Incoherence in Strongly Interacting Quantum Wires
• Shot noise free conductance reduction in quantum wires
• Tunneling exponents sensitive to impurity scattering in quantum wires