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/P06009

Additional details

Publishing Information

Journal Title
Journal of Statistical Mechanics
Journal Volume
2014
Journal Issue
6
Journal Page Range
[19 p.]
ISSN
1742-5468