Scaling of Entanglement Entropy in the Random Singlet Phase

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dc.creatorLaflorencie, Nicolas
dc.date2005-04-18
dc.date2005-11-25
dc.date.accessioned2026-07-07T06:37:41Z
dc.date.available2026-07-07T06:37:41Z
dc.descriptionWe 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.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0504446
dc.identifierhttp://arxiv.org/abs/cond-mat/0504446
dc.identifierPhys. Rev. B 72, 140408(R) (2005)
dc.identifierdoi:10.1103/PhysRevB.72.140408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100481
dc.subjectStrongly Correlated Electrons
dc.subjectDisordered Systems and Neural Networks
dc.subjectQuantum Physics
dc.titleScaling of Entanglement Entropy in the Random Singlet Phase
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