Critical points and quenched disorder: From Harris criterion to rare regions and smearing

Thomas Vojta (Lead / Corresponding author), Rastko Sknepnek

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2118-2127
Number of pages10
JournalPhysica Status Solidi (B) Basic Research
Volume241
Issue number9
DOIs
Publication statusPublished - 1 Jul 2004

Fingerprint Dive into the research topics of 'Critical points and quenched disorder: From Harris criterion to rare regions and smearing'. Together they form a unique fingerprint.

Cite this