https://scholars.lib.ntu.edu.tw/handle/123456789/575269
標題: | Phase boundary location with information-theoretic entropy in tensor renormalization group flows | 作者: | Gangat A.A., Kao Y.-J. YING-JER KAO |
關鍵字: | Crystal lattices; Entropy; Ising model; Potts model; Statistical mechanics; Tensors; Continuous phase transitions; Lattice models; Monte Carlo results; Network methods; Partition functions; Q-state Potts model; Square lattices; Tensor renormalization; Information theory | 公開日期: | 2019 | 卷: | 100 | 期: | 9 | 來源出版物: | Physical Review B | 摘要: | 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)PRLTAO0031-900710.1103/PhysRevLett.99.120601] 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 J1-J2 Ising model and find good agreement. ? 2019 American Physical Society. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85072804318&doi=10.1103%2fPhysRevB.100.094430&partnerID=40&md5=cd6239d02dfb19538bb91a729a5eae8e https://scholars.lib.ntu.edu.tw/handle/123456789/575269 |
ISSN: | 24699950 | DOI: | 10.1103/PhysRevB.100.094430 |
顯示於: | 物理學系 |
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