Quantum Phase Transitions on Percolating Lattices

Abstract

When a quantum many-particle system exists on a randomly diluted lattice, its intrinsic thermal and quantum fluctuations coexist with geometric fluctuations due to percolation. In this paper, we explore how the interplay of these fluctuations influences the phase transition at the percolation threshold. While it is well known that thermal fluctuations generically destroy long-range order on the critical percolation cluster, the effects of quantum fluctuations are more subtle. In diluted quantum magnets with and without dissipation, this leads to novel universality classes for the zero-temperature percolation quantum phase transition. Observables involving dynamical correlations display nonclassical scaling behavior that can nonetheless be determined exactly in two dimensions.

Department(s)

Physics

Sponsor(s)

National Science Foundation (U.S.)
Research Corporation
University of Missouri Research Board

Keywords and Phrases

Percolation; Quantum Magnet; Quantum Phase Transition; Strongly Correlated Electrons

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 American Physical Society (APS), All rights reserved.

Publication Date

01 Jan 2007

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