Journal article
Tensor renormalization group study of classical XY model on the square lattice
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.89(1), 013308
01/2014
DOI: 10.1103/PhysRevE.89.013308
Abstract
Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the thermodynamic properties of the continuous XY model on the square lattice. The temperature dependence of the free energy, the internal energy, and the specific heat agree with the Monte Carlo calculations. From the field dependence of the magnetic susceptibility, we find the Kosterlitz-Thouless transition temperature to be 0.8921(19), consistent with the Monte Carlo as well as the high temperature series expansion results. At the transition temperature, the critical exponent δ is estimated as 14.5, close to the analytic value by Kosterlitz.
Details
- Title: Subtitle
- Tensor renormalization group study of classical XY model on the square lattice
- Creators
- J. F Yu - Chinese Academy of SciencesZ. Y Xie - Chinese Academy of SciencesY Meurice - University of IowaYuzhi Liu - University of IowaA Denbleyker - University of IowaHaiyuan Zou - University of IowaM. P Qin - Chinese Academy of SciencesJ Chen - Chinese Academy of SciencesT Xiang - Chinese Academy of Sciences
- Resource Type
- Journal article
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.89(1), 013308
- DOI
- 10.1103/PhysRevE.89.013308
- NLM abbreviation
- Phys Rev E Stat Nonlin Soft Matter Phys
- ISSN
- 1539-3755
- eISSN
- 1550-2376
- Publisher
- American Physical Society
- Grant note
- DOI: 10.13039/100000138, name: U.S. Department of Education, award: DE-SC0010114, FG02-91ER40664, DE-AC02-07CH11359
- Language
- English
- Date published
- 01/2014
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199842502771
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