Phase boundary location with information-theoretic entropy in tensor renormalization group flows
| Autor: | Gangat, Adil A., Kao, Ying-Jer |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 100, 094430 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.100.094430 |
| Popis: | 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. \textbf{12}, 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 $J_1-J_2$ Ising model and find good agreement. Comment: 9 pages, 4 figures, 2 tables. v2: updated figure for clarity and fixed reference typos. v3: improved data. v4: expanded intro., more data/figures. v5: added appendix |
| Databáze: | arXiv |
| Externí odkaz: |
|