Journal of Low Temperature Physics

, Volume 161, Issue 1–2, pp 299–323 | Cite as

Quantum Griffiths Effects and Smeared Phase Transitions in Metals: Theory and Experiment

Article

Abstract

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.

Keywords

Quantum phase transition Quenched disorder Griffiths singularities 

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of PhysicsMissouri University of Science and TechnologyRollaUSA

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