Topological Entanglement Entropy from the Holographic Partition Function

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dc.creatorFendley, Paul
dc.creatorFisher, Matthew P. A.
dc.creatorNayak, Chetan
dc.date2006-09-05
dc.date.accessioned2026-07-07T10:24:15Z
dc.date.available2026-07-07T10:24:15Z
dc.descriptionWe study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both types of excitations can be encoded in a single partition function. This partition function is holographic because it can be expressed entirely in terms of the conformal field theory describing the edge modes. We give a general expression for the holographic partition function, and discuss several examples in depth, including abelian and non-abelian fractional quantum Hall states, and p+ip superconductors. We extend these results to include a point contact allowing tunneling between two points on the edge, which causes thermodynamic entropy associated with the point contact to be lost with decreasing temperature. Such a perturbation effectively breaks the system in two, and we can identify the thermodynamic entropy loss with the loss of the edge entanglement entropy. From these results, we obtain a simple interpretation of the non-integer `ground state degeneracy' which is obtained in 1+1-dimensional quantum impurity problems: its logarithm is a 2+1-dimensional topological entanglement entropy.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0609072
dc.identifierhttp://arxiv.org/abs/cond-mat/0609072
dc.identifierJ.Stat.Phys.126:1111,2007
dc.identifierdoi:10.1007/s10955-006-9275-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176120
dc.subjectStatistical Mechanics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.titleTopological Entanglement Entropy from the Holographic Partition Function
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