Universal entanglement entropy in 2D conformal quantum critical points

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dc.creatorHsu, Benjamin
dc.creatorMulligan, Michael
dc.creatorFradkin, Eduardo
dc.creatorKim, Eun-Ah
dc.date2008-12-01
dc.date2009-03-21
dc.date.accessioned2026-07-07T12:57:15Z
dc.date.available2026-07-07T12:57:15Z
dc.descriptionWe study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite lattices and quantum loop models, as well as the quantum Lifshitz model and related gauge theories. We show that, under quite general conditions, the entanglement entropy of a large and simply connected sub-system of an infinite system with a smooth boundary has a universal finite contribution, as well as scale-invariant terms for special geometries. The universal finite contribution to the entanglement entropy is computable in terms of the properties of the conformal structure of the wave function of these quantum critical systems. The calculation of the universal term reduces to a problem in boundary conformal field theory.
dc.description14 pages, 3 figures, v2 references updated, minor changes
dc.identifierhttps://arxiv.org/abs/0812.0203
dc.identifierhttp://arxiv.org/abs/0812.0203
dc.identifierPhys. Rev. B 79, 115421 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.115421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224867
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleUniversal entanglement entropy in 2D conformal quantum critical points
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