Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model

Yan-Wei Dai, Sam Young Cho, Murray T. Batchelor, and Huan-Qiang Zhou
Phys. Rev. B 95, 014419 – Published 18 January 2017

Abstract

The von Neumann entanglement entropy is used to estimate the critical point hc/J0.143(3) of the mixed ferro-antiferromagnetic three-state quantum Potts model H=i[J(XiXi+12+Xi2Xi+1)hRi], where Xi and Ri are standard three-state Potts spin operators and J>0 is the antiferromagnetic coupling parameter. This critical point value gives improved estimates for two Kosterlitz-Thouless transition points in the antiferromagnetic (β<0) region of the Δβ phase diagram of the three-state quantum chiral clock model, where Δ and β are, respectively, the chirality and coupling parameters in the clock model. These are the transition points βc0.143(3) at Δ=12 between incommensurate and commensurate phases and βc7.0(1) at Δ=0 between disordered and incommensurate phases. The von Neumann entropy is also used to calculate the central charge c of the underlying conformal field theory in the massless phase hhc. The estimate c1 in this phase is consistent with the known exact value at the particular point h/J=1 corresponding to the purely antiferromagnetic three-state quantum Potts model. The algebraic decay of the Potts spin-spin correlation in the massless phase is used to estimate the continuously varying critical exponent η.

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  • Received 19 September 2016
  • Revised 24 November 2016

DOI:https://doi.org/10.1103/PhysRevB.95.014419

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yan-Wei Dai1,2, Sam Young Cho2,3,*, Murray T. Batchelor2,4,†, and Huan-Qiang Zhou2,3

  • 1College of Materials Science and Engineering, Chongqing University, Chongqing 400044, People's Republic of China
  • 2Centre for Modern Physics, Chongqing University, Chongqing 400044, People's Republic of China
  • 3Department of Physics, Chongqing University, Chongqing 400044, People's Republic of China
  • 4Mathematical Sciences Institute and Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 2601, Australia

  • *sycho@cqu.edu.cn
  • batchelor@cqu.edu.cn

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Vol. 95, Iss. 1 — 1 January 2017

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