Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2 + 1 dimensions

. The entanglement entropy for a quantum critical system across a boundary with a corner exhibits a subleading logarithmic scaling term with a scale-invariant coefficient. Using a Numerical Linked Cluster Expansion, we calculate this universal quantity for a square-lattice bilayer Heisenberg model a...

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Published inJournal of statistical mechanics Vol. 2014; no. 6; pp. P06009 - 19
Main Authors Kallin, A B, Stoudenmire, E M, Fendley, P, Singh, R R P, Melko, R G
Format Journal Article
LanguageEnglish
Published IOP Publishing and SISSA 01.06.2014
Subjects
Boundaries
Coefficients
Corners
Critical point
Entanglement
Entropy
Mathematical analysis
Mathematical models
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Summary:. The entanglement entropy for a quantum critical system across a boundary with a corner exhibits a subleading logarithmic scaling term with a scale-invariant coefficient. Using a Numerical Linked Cluster Expansion, we calculate this universal quantity for a square-lattice bilayer Heisenberg model at its quantum critical point. We find, for this 2 + 1 dimensional O(3) universality class, that it is thrice the value calculated previously for the Ising universality class. This relation gives substantial evidence that this coefficient provides a measure of the number of degrees of freedom of the theory, analogous to the central charge in a 1 + 1 dimensional conformal field theory.
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ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2014/06/P06009