Abstract

These lecture notes give a pedagogical introduction to phase transitions in disordered quantum systems and to the exotic Griffiths phases induced in their vicinity. We first review some fundamental concepts in the physics of phase transitions. We then derive criteria governing under what conditions spatial disorder or randomness can change the properties of a phase transition. After introducing the strong-disorder renormalization group method, we discuss in detail some of the exotic phenomena arising at phase transitions in disordered quantum systems. These include infinite-randomness criticality, rare regions and quantum Griffiths singularities, as well as the smearing of phase transitions. We also present a number of experimental examples.

Meeting Name

17th Training Course in the Physics of Strongly Correlated Systems (2012: Oct. 1-12, Salerno, Italy)

Department(s)

Physics

Keywords and Phrases

critical point; disorder; Griffiths singularity; phase transition; renormalization group

International Standard Book Number (ISBN)

978-0-7354-1175-3

International Standard Serial Number (ISSN)

0094-243X

Document Type

Article - Conference proceedings

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2013 American Institute of Physics (AIP), All rights reserved.

Included in

Physics Commons

Share

 
COinS