A 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*R 2 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.
|Number of pages||5|
|Journal||Physica Status Solidi (C) Current Topics in Solid State Physics|
|State||Published - 1 Dec 2008|
|Event||12th International Conference on Transport in Interacting Disordered Systems, TIDS 12 - Marburg, Germany|
Duration: 6 Aug 2007 → 10 Aug 2007
ASJC Scopus subject areas
- Condensed Matter Physics