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Entanglement and quantum phase transition of spin glass: A renormalization group approach

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.physleta.2014.07.042
Keywords
  • Statistical Physics
Disciplines
  • Physics

Abstract

Abstract Using a renormalization group approach, we study the entanglement properties of two spin glass models: the XXZ Heisenberg (with Dzyaloshinskii–Moriya interaction) and Ising transverse field spin glasses. The concurrence for both models are obtained through the Kadanoff renormalization group (RG) approach with random Jiz and Ji respectively. The constant couplings in the RG flow are randomized through the Gaussian distribution. For Δ=0 corresponding to a non-spin glass material, a first-order transition is expected. By varying Δ from 0.05 to 0.5, the spin glass effect broadens the sharp transition resulting in a second-order-like transition. The fluctuations in the average concurrence for the spin glass case as measured by the standard deviations is also a good indicator of quantum phase transition.

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