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What are Griffiths effects in the context of condensed matter physics?

From a cursory examination of the literature I've gathered the following: it seems that ordered systems have a "clean" critical point, at which the system makes a sharp phase transition, and that disordered systems have a "dirty" critical point which is perturbed from the clean critical point due to the randomness of the system. A Griffiths phase then occurs when the control parameter is between the clean and dirty critical points, and is characterized by rare occurrences of local order in an otherwise disordered phase.

Is this correct? What does "rare" really mean? Is this a recently discovered phenomenon?

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I was interested in this question, so I looked around and found the following paper; arxiv.org/pdf/1005.2707v3.pdf I think your summary is the right idea roughly. –  Dylan Sabulsky Nov 15 '12 at 22:50
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@DylanSabulsky I think that could be an answer, or definitely a good start to one. (Though it's better to link to the abstract page on arXiv, not the PDF) –  David Z Nov 16 '12 at 0:10
    
Oh sorry, I'll make sure to do that next time. –  Dylan Sabulsky Nov 16 '12 at 2:10
    
Here is the abstract page on arXiv^^ –  JoeHobbit Jun 16 '13 at 0:17
    
Why is Bose glass a Griffiths phase? –  Jeremy Feb 19 at 18:47
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