TY - JOUR

T1 - Universal entanglement entropy in two-dimensional conformal quantum critical points

AU - Hsu, Benjamin

AU - Mulligan, Michael

AU - Fradkin, Eduardo

AU - Kim, Eun Ah

PY - 2009/3/3

Y1 - 2009/3/3

N2 - We 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 subsystem 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

AB - We 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 subsystem 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

UR - http://www.scopus.com/inward/record.url?scp=64349115016&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.79.115421

DO - 10.1103/PhysRevB.79.115421

M3 - Article

AN - SCOPUS:64349115016

VL - 79

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 11

M1 - 115421

ER -