Quantum Griffiths Effects and Smeared Phase Transitions in Metals: Theory and Experiment
In this paper, we review theoretical and experimental research on rare region effects at quantum phase transitions in disordered itinerant electron systems. After summarizing a few basic concepts about phase transitions in the presence of quenched randomness, we introduce the idea of rare regions and discuss their importance. We then analyze in detail the different phenomena that can arise at magnetic quantum phase transitions in disordered metals, including quantum Griffiths singularities, smeared phase transitions, and cluster-glass formation. For each scenario, we discuss the resulting phase diagram and summarize the behavior of various observables. We then review several recent experiments that provide examples of these rare region phenomena. We conclude by discussing limitations of current approaches and open questions.
T. Vojta, "Quantum Griffiths Effects and Smeared Phase Transitions in Metals: Theory and Experiment," Journal of Low Temperature Physics, vol. 161, no. 1-2, pp. 299-323, Springer New York, Oct 2010.
The definitive version is available at https://doi.org/10.1007/s10909-010-0205-4
Keywords and Phrases
Basic concepts; Cluster glass; Disordered metals; Experimental research; Griffiths effects; Griffiths singularities; Itinerant electron system; Magnetic quantum phase transition; Quantum Griffiths singularity; Quantum phase transitions; Quenched disorder; Quenched randomness
International Standard Serial Number (ISSN)
Article - Journal
© 2010 Springer New York, All rights reserved.