Scaling of Entanglement Entropy in the Random Singlet Phase

2005/04/30 by Nicolas Laflorencie · 5 citations
Physics and Astronomy · #Model Reduction and Neural Networks #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.dis-nn #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevb.72.140408

published as Phys. Rev. B 72, 140408(R) (2005) · 4 pages, 3 figures

openalex publication_date 2005/10/31 · arxiv created 2005/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 c=c× ln 2. Moreover we provide the first visual proof of the existence the Random Singlet Phase thanks to the quantum entanglement concept.

Citations

• Calculation of reduced density matrices from correlation functions
• Two soluble models of an antiferromagnetic chain

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