Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
Disordered Systems and Neural Networks
2009-11-13 v1 Statistical Mechanics
Quantum Physics
Abstract
The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement entropy always scales linearly with the block size. However, besides this \emph{area law} contribution, we find a subleading logarithmic correction at the quantum critical point. This correction is discussed from the point of view of an underlying percolation transition, both at finite and at zero temperature.
Cite
@article{arxiv.0709.3840,
title = {Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model},
author = {Rong Yu and Hubert Saleur and Stephan Haas},
journal= {arXiv preprint arXiv:0709.3840},
year = {2009}
}
Comments
4.3 pages, 4 figures