Abstract

We study the phase diagram and the quantum phase transitions of a site-diluted two-dimensional O(3) quantum rotor model by means of large-scale Monte Carlo simulations. This system has two quantum phase transitions: a generic one for small dilutions and a percolation transition across the lattice percolation threshold. We determine the critical behavior for both transitions and for the multicritical point that separates them. In contrast to the exotic scaling scenarios found in other random quantum systems, all these transitions are characterized by finite-disorder fixed points with power-law scaling. We relate our findings to a recent classification of phase transitions with quenched disorder according to the rare region dimensionality, and we discuss experiments in disordered quantum magnets.

Department(s)

Physics

Sponsor(s)

National Science Foundation (U.S.)
Natural Sciences and Engineering Research Council of Canada
Research Corporation
University of Missouri Research Board

Keywords and Phrases

Monte Carlo Methods; Critical Points; Magnetic Transitions

Library of Congress Subject Headings

Percolation

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2006 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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