Published June 2014
| Version v1
Journal article
Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2 + 1 dimensions
- 1. Department of Physics and Astronomy, University of Waterloo, Ontario, N2L 3G1 (Canada)
- 2. Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5 (Canada)
- 3. Physics Department, University of California, Davis, CA 95616 (United States)
- 4. Physics Department, University of Virginia, Charlottesville, VA 22904-4714 (United States)
Description
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. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1742-5468/2014/06/P06009Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Statistical Mechanics
- Journal Volume
- 2014
- Journal Issue
- 6
- Journal Page Range
- [19 p.]
- ISSN
- 1742-5468
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46042583
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLUSTER EXPANSION; CONFORMAL INVARIANCE; DEGREES OF FREEDOM; ENTROPY; HEISENBERG MODEL; QUANTUM ENTANGLEMENT; QUANTUM FIELD THEORY; SCALING LAWS; TETRAGONAL LATTICES; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CRYSTAL LATTICES; CRYSTAL MODELS; CRYSTAL STRUCTURE; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; SERIES EXPANSION; THERMODYNAMIC PROPERTIES