Scaling of Entanglement Entropy in the Random Singlet Phase

Details Scaling of Entanglement Entropy in the Random Singlet Phase Scaling of Entanglement Entropy in the Random Singlet Phase

2005-04-18

arxiv.org/abs/cond-mat/0504446v4

Phys. Rev. B 72, 140408(R) (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.72.140408

We present numerical evidences for the logarithmic scaling of the entanglement entropy in critical random spin chains. Very large scale exact diagonalizations performed at the critical XX point up to L=2000 spins 1/2 lead to a perfect agreement with recent real-space renormalization-group predictions of Refael and Moore [Phys. Rev. Lett. {\bf 93}, 260602 (2004)] for the logarithmic scaling of the entanglement entropy in the Random Singlet Phase with an effective central charge ${\tilde{c}}=c\times \ln 2$. Moreover we provide the first visual proof of the existence the Random Singlet Phase thanks to the quantum entanglement concept.

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