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.
Greenblatt, R.l., Aizenman, M., Lebowitz, J.l. (2009). Rounding of first order transitions in low-dimensional quantum systems with quenched disorder. PHYSICAL REVIEW LETTERS, 103(19) [10.1103/PhysRevLett.103.197201].
Rounding of first order transitions in low-dimensional quantum systems with quenched disorder
Greenblatt, Rafael L
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2009-11-06
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.File | Dimensione | Formato | |
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