Phase boundary location with information-theoretic entropy in tensor renormalization group flows

Adil A. Gangat and Ying-Jer Kao
Phys. Rev. B 100, 094430 – Published 18 September 2019

Abstract

We present a simple and efficient tensor network method to accurately locate phase boundaries of two-dimensional classical lattice models. The method utilizes only the information-theoretic (von Neumann) entropy of quantities that automatically arise along tensor renormalization group [Phys. Rev. Lett. 99, 120601 (2007)] flows of partition functions. We benchmark the method against theoretically known results for the square-lattice q-state Potts models, which includes first-order, weakly first-order, and continuous phase transitions, and find good agreement in all cases. We also compare against previous Monte Carlo results for the frustrated square lattice J1J2 Ising model and find good agreement.

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  • Received 20 March 2019
  • Revised 20 August 2019

DOI:https://doi.org/10.1103/PhysRevB.100.094430

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Adil A. Gangat1,2,3,* and Ying-Jer Kao1,4,5,†

  • 1Department of Physics and Center for Theoretical Physics, National Taiwan University, Taipei 10607, Taiwan
  • 2Département de Physique, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
  • 3School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
  • 4National Center for Theoretical Sciences, National Tsing Hua University, Hsinchu 30013, Taiwan
  • 5Department of Physics, Boston University, Boston, Massachusetts 02215, USA

  • *agangat3@gatech.edu
  • yjkao@phys.ntu.edu.tw

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Issue

Vol. 100, Iss. 9 — 1 September 2019

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