Rounding of first order transitions in low-dimensional quantum systems with quenched disorder

Rafael L. Greenblatt, Michael Aizenman, Joel L. Lebowitz

Research output: Contribution to journalArticle

40 Scopus citations

Abstract

We prove that the addition of an arbitrarily small random perturbation to a quantum spin system rounds a first-order phase transition in the conjugate order parameter in d≤2 dimensions, or for cases involving the breaking of a continuous symmetry in d≤4. This establishes rigorously for quantum systems the existence of the Imry-Ma phenomenon which for classical systems was proven by Aizenman and Wehr.

Original languageEnglish (US)
Article number197201
JournalPhysical review letters
Volume103
Issue number19
DOIs
StatePublished - Nov 2 2009

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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