Work

Griffiths phase and critical behavior of the two-dimensional Potts models with long-range correlated disorder

Year: 2014

Type: article

Abstract: The q-state Potts model with long-range correlated disorder is studied by means of large-scale Monte Carlo simulations for q=2, 4, 8, and 16. Evidence is given of the existence of a Griffiths phase, where the thermodynamic quantities display an algebraic finite-size scaling, in a finite range of temperatures. The critical exponents are shown to depend on both the temperature and the exponent of the algebraic decay of disorder correlations, but not on the number of states of the Potts model. The mechanism leading to the violation of hyperscaling relations is observed in the entire Griffiths phase.

Source: Physical Review E

DOI: 10.1103/physreve.89.032105

Author: Christophe Chatelain

Institutions: Centre National de la Recherche Scientifique, Institut Jean Lamour, Université de Lorraine

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Indian Institute of Science Education and Research Mohali

OpenAlex ID: W1479985504

FWCI: 0.946

Cites: 75

Cited by: 21

Related to: 10