Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-04-28
Physical Review B 80, 115122 (2009)
Physics
Condensed Matter
Statistical Mechanics
40 pages, 10 figures
Scientific paper
10.1103/PhysRevB.80.115122
It is generally believed that in spatial dimension d > 1 the leading contribution to the entanglement entropy S = - tr rho_A log rho_A scales as the area of the boundary of subsystem A. The coefficient of this "area law" is non-universal. However, in the neighbourhood of a quantum critical point S is believed to possess subleading universal corrections. In the present work, we study the entanglement entropy in the quantum O(N) model in 1 < d < 3. We use an expansion in epsilon = 3-d to evaluate i) the universal geometric correction to S for an infinite cylinder divided along a circular boundary; ii) the universal correction to S due to a finite correlation length. Both corrections are different at the Wilson-Fisher and Gaussian fixed points, and the epsilon -> 0 limit of the Wilson-Fisher fixed point is distinct from the Gaussian fixed point. In addition, we compute the correlation length correction to the Renyi entropy S_n = (log tr rho^n_A)/(1-n) in epsilon and large-N expansions. For N -> infinity, this correction generally scales as N^2 rather than the naively expected N. Moreover, the Renyi entropy has a phase transition as a function of n for d close to 3.
Fuertes Carlos A.
Metlitski Max A.
Sachdev Subir
No associations
LandOfFree
Entanglement Entropy in the O(N) model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Entanglement Entropy in the O(N) model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement Entropy in the O(N) model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-510613