Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points

dc.creatorGoswami, Pallab
dc.creatorSchwab, David
dc.creatorChakravarty, Sudip
dc.date2007-08-21
dc.date2008-01-08
dc.date.accessioned2026-07-07T08:52:43Z
dc.date.available2026-07-07T08:52:43Z
dc.descriptionWe give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial dimension, we find that for $N \geq 3$, the first order transition is rounded to a continuous transition and the physical picture is the same as the random transverse field Ising model for a limited parameter regime. The results are strikingly different from the corresponding classical problem in two dimensions where the fate of the renormalization group flows is a fixed point corresponding to N-decoupled pure Ising models.
dc.descriptionTitle is modified as requested by the PRL editor, minor stylistic changes, typos corrected, and a few new references added. It is published in PRL
dc.identifierhttps://arxiv.org/abs/0708.2917
dc.identifierhttp://arxiv.org/abs/0708.2917
dc.identifierPhys. Rev. Lett. 100, 015703 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.015703
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145375
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleRounding by disorder of first-order quantum phase transitions: emergence of quantum critical points
dc.typetext

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