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Proof of rounding by quenched disorder of first order transitions in low-dimensional quantum systems

Author(s): Aizenman, Michael; Greenblatt, Rafael L; Lebowitz, Joel L

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dc.contributor.authorAizenman, Michael-
dc.contributor.authorGreenblatt, Rafael L-
dc.contributor.authorLebowitz, Joel L-
dc.date.accessioned2019-05-30T15:59:38Z-
dc.date.available2019-05-30T15:59:38Z-
dc.date.issued2012-02en_US
dc.identifier.citationAizenman, Michael, Greenblatt, Rafael L, Lebowitz, Joel L. (2012). Proof of rounding by quenched disorder of first order transitions in low-dimensional quantum systems. JOURNAL OF MATHEMATICAL PHYSICS, 53 (10.1063/1.3679069en_US
dc.identifier.issn0022-2488-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1p99r-
dc.description.abstractWe prove that for quantum lattice systems in d <= 2 dimensions the addition of quenched disorder rounds any first order phase transition in the corresponding conjugate order parameter, both at positive temperatures and at T = 0. For systems with continuous symmetry the statement extends up to d <= 4 dimensions. This establishes for quantum systems the existence of the Imry-Ma phenomenon which for classical systems was proven by Aizenman and Wehr. The extension of the proof to quantum systems is achieved by carrying out the analysis at the level of thermodynamic quantities rather than equilibrium states. (C) 2012 American Institute of Physics. [doi:10.1063/1.3679069]en_US
dc.language.isoen_USen_US
dc.relation.ispartofJOURNAL OF MATHEMATICAL PHYSICSen_US
dc.rightsAuthor's manuscripten_US
dc.titleProof of rounding by quenched disorder of first order transitions in low-dimensional quantum systemsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1063/1.3679069-
dc.date.eissued2012-02-01en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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