Inelastic scattering effects and the Hall resistance in a 4-probe ring

Details Inelastic scattering effects and the Hall resistance in a 4-probe ring Inelastic scattering effects and the Hall resistance in a 4-probe ring

2005-12-13

arxiv.org/abs/cond-mat/0512280v1

Phys. Rev. B 73, 113308 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures, revtex4

Scientific paper

10.1103/PhysRevB.73.113308

Phase randomizing processes in mesoscopic systems can be described in a phenomenological way within the Landauer-B\"{u}ttiker formalism by attaching extra voltage probes to the sample. In this paper, it is shown that a perturbation treatment of this idea allows for the incorporation of such effects without the need of giving up the efficiency of recursive techniques commonly used for calculating the transmission coefficients. The technique is applied to a 4-probe ring, where a Hall effect can be observed that originates from quantum interference rather than a Lorentz force acting on the electrons. The influence of inelastic scattering on both the Hall resistance and the Aharonov-Bohm oscillations in the longitudinal resistance are examined.

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