Particle on a ring coupled with a dirty metal

Victor Kagalovsky; Baruch Horovitz

doi:10.1002/pssc.200777568

Particle on a ring coupled with a dirty metal

Victor Kagalovsky, Baruch Horovitz

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

Abstract

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 R_c. At low temperatures T the curvature has the form 1/M*R ² with an R independent M* > M in the R > R_c phase, while M* rapidly approaches M in the R < R_c 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.

Original language	English
Pages (from-to)	848-852
Number of pages	5
Journal	Physica Status Solidi (C) Current Topics in Solid State Physics
Volume	5
Issue number	3
DOIs	https://doi.org/10.1002/pssc.200777568
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

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10.1002/pssc.200777568

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abstract = "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.",

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AU - Horovitz, Baruch

PY - 2008/12/1

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N2 - 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.

AB - 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.

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DO - 10.1002/pssc.200777568

M3 - Conference article

AN - SCOPUS:77951278458

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EP - 852

JO - Physica Status Solidi (C) Current Topics in Solid State Physics

JF - Physica Status Solidi (C) Current Topics in Solid State Physics

IS - 3

T2 - 12th International Conference on Transport in Interacting Disordered Systems, TIDS 12

Y2 - 6 August 2007 through 10 August 2007

ER -

Particle on a ring coupled with a dirty metal

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