학술논문
Corner contribution to the entanglement entropy of an $O(3)$ quantum critical point in $2+1$ dimensions.
Document Type
Journal
Author
Kallin, A. B. (3-WTRL-PA) AMS Author Profile; Stoudenmire, E. M. (3-PITP) AMS Author Profile; Fendley, P. (1-CAD-P) AMS Author Profile; Singh, R. R. P. (1-VA-P) AMS Author Profile; Melko, R. G. (3-WTRL-PA) AMS Author Profile
Source
Subject
82 Statistical mechanics, structure of matter -- 82B Equilibrium statistical mechanics
82B10Quantum equilibrium statistical mechanics
82B10
Language
English
Abstract
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.''