Rounding of First Order Transitions in Low-Dimensional Quantum Systems with Quenched Disorder

Details Rounding of First Order Transitions in Low-Dimensional Quantum Systems with Quenched Disorder Rounding of First Order Transitions in Low-Dimensional Quantum Systems with Quenched Disorder

2009-07-14

arxiv.org/abs/0907.2419v3

Phys. Rev. Lett. 103 (2009) 197201

Physics

Condensed Matter

Statistical Mechanics

Four pages, RevTex. Minor corrections

Scientific paper

10.1103/PhysRevLett.103.197201

We prove that the addition of an arbitrarily small random perturbation of a suitable type to a quantum spin system rounds a first order phase transition in the conjugate order parameter in d <= 2 dimensions, or in systems with 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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