Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model

Details Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model

2007-09-24

arxiv.org/abs/0709.3840v1

Phys. Rev. B 77, 140402(R) (2008).

Physics

Condensed Matter

Disordered Systems and Neural Networks

4.3 pages, 4 figures

Scientific paper

10.1103/PhysRevB.77.140402

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.

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