Journal article
Controlling sign problems in spin models using tensor renormalization
Physical review. D, Vol.89(1), 016008
01/09/2014
DOI: 10.1103/PhysRevD.89.016008
Abstract
We consider the sign problem for classical spin models at complex $\beta =1/g_0^2$ on $L\times L$ lattices. We show that the tensor renormalization group method allows reliable calculations for larger Im$\beta$ than the reweighting Monte Carlo method. For the Ising model with complex $\beta$ we compare our results with the exact Onsager-Kaufman solution at finite volume. The Fisher zeros can be determined precisely with the TRG method. We check the convergence of the TRG method for the O(2) model on $L\times L$ lattices when the number of states $D_s$ increases. We show that the finite size scaling of the calculated Fisher zeros agrees very well with the Kosterlitz-Thouless transition assumption and predict the locations for larger volume. The location of these zeros agree with Monte Carlo reweighting calculation for small volume. The application of the method for the O(2) model with a chemical potential is briefly discussed.
Details
- Title: Subtitle
- Controlling sign problems in spin models using tensor renormalization
- Creators
- Alan Denbleyker - University of IowaYuzhi Liu - University of IowaY Meurice - University of IowaM. P Qin - Chinese Academy of SciencesT Xiang - Chinese Academy of SciencesZ. Y Xie - Chinese Academy of SciencesJ. F Yu - Chinese Academy of SciencesHaiyuan Zou - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.89(1), 016008
- DOI
- 10.1103/PhysRevD.89.016008
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Publisher
- American Physical Society (APS)
- Language
- English
- Date published
- 01/09/2014
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199740802771
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