Critical Points and Quenched Disorder: from Harris Criterion to Rare Regions and Smearing
We consider the influence of quenched spatial disorder on phase transitions in classical and quantum systems. We show that rare strong disorder fluctuations can have dramatic effects on critical points. in classical systems with sufficiently correlated disorder or in quantum systems with overdamped dynamics they can completely destroy the sharp phase transition by smearing. This is caused by effects similar to but stronger than Griffiths phenomena: True static order can develop on a rare region while the bulk system is still in the disordered phase. We discuss the thermodynamic behavior in the vicinity of such a smeared transition using optimal fluctuation theory, and we present numerical results for a two-dimensional model system. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
T. Vojta and R. Sknepnek, "Critical Points and Quenched Disorder: from Harris Criterion to Rare Regions and Smearing," Physica Status Solidi (B), Wiley-Blackwell, Jan 2004.
The definitive version is available at https://doi.org/10.1002/pssb.200404798
University of Missouri Research Board
Keywords and Phrases
Critical Points; Harris Criterion; Quenched Disorder
Article - Journal
© 2004 Wiley-Blackwell, All rights reserved.