Abstract

AbstractA charged particle of mass M on a ring of radius R is coupled to a dirty metal environment. With Monte‐Carlo methods we evaluate the curvature of the Aharonov‐Bohm oscillations and 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 approaches 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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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