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Effect of dissipative environments on Aharonov-Bohm oscillations of a particle

V. KAGALOVSKY1,* , B. HOROVITZ2

Affiliation

  1. Sami Shamoon College of Engineering, Beer-Sheva, 84100 Israel
  2. Department of Physics, Ben Gurion University, Beer Sheva 84105 Israel

Abstract

A charged particle of mass M on a ring of radius R is coupled to various environments. With Monte-Carlo methods we evaluate the curvature of the Aharonov-Bohm oscillations. For Caldeira-Legget bath of oscillators we find the origin of big descepancies between results of different groups. For a charged particle in a dirty metal environment we find a quantum phase transition at a critical Rc. At low temperatures T the curvature has the form 1/M*R2 with an R independent M* > M in the R > Rc phase, while M* rapidly approached M in the R < Rc phase. The approach to T = 0 defines diverging length scales ∼ T− η with η ≈1 and η ≈1⁄4 in the large and small R phases, respectively. Our preliminary results for a particle with electric dipole in a dirty metal environment for large R and low temperatures show an R independent saturation of M* > M as in a charged particle case..

Keywords

Aharonov-Bohn oscillation, Monte-Carlo method.

Submitted at: April 1, 2008
Accepted at: July 1, 2008

Citation

V. KAGALOVSKY, B. HOROVITZ, Effect of dissipative environments on Aharonov-Bohm oscillations of a particle, Journal of Optoelectronics and Advanced Materials Vol. 10, Iss. 7, pp. 1727-1731 (2008)