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

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

doi:10.1103/PhysRevLett.103.197201

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

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

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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 language	English (US)
Article number	197201
Journal	Physical review letters
Volume	103
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevLett.103.197201
State	Published - Nov 2 2009

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.103.197201

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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.",

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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