Corner Contributions to the Entanglement Entropy of Strongly Interacting Systems in 2+1 Dimensions

ORAL

Abstract

In D=2+1 quantum critical systems, the entanglement entropy of a region with a sharp corner in its boundary contains a subleading logarithmic scaling term with a universal coefficient. In certain cases it is known that this coefficient captures the number of low-energy degrees of freedom in the associated field theory. Using a combination of density matrix renormalization group and numerical linked cluster calculations to isolate the corner coefficient for critical systems in the O(N) Wilson-Fisher universality class, we observe a striking confirmation of the unversality of this quantity and find that, to leading order, the corner coefficient is proportional to the number of field components N.

Authors

  • Edwin Miles Stoudenmire

    • Perimeter Institute for Theoretical Physics
  • Peter Gustainis

    • University of Waterloo
  • Ravi Johal

    • University of Waterloo
  • Stefan Wessel

    • RWTH Aachen University
  • Roger Melko

    • University of Waterloo and Perimeter Institute
    • University of Waterloo, Perimeter Institute for Theoretical Physics
    • Waterloo and Perimeter Institute
    • University of Waterloo
    • University of Waterloo, Perimeter Institute
    • University of Waterloo / Perimeter Institute for Theoretical Physics