Abstract
Abstract
We apply a tensor network scheme to finite temperature Z2 gauge theory in 2+1 dimensions. Finite size scaling analysis with the spatial extension up to N
σ
= 4096 at the temporal extension of N
τ
= 2, 3, 5 allows us to determine the transition temperature and the critical exponent ν at high level of precision, which shows the consistency with the Svetitsky-Yaffe conjecture.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference21 articles.
1. T. Nishino and K. Okunishi, Corner transfer matrix renormalization group method, J. Phys. Soc. Jpn.65 (1996) 891.
2. N. Maeshima, Y. Hieida, Y. Akutsu, T. Nishino and K. Okunishi, Vertical density matrix algorithm: a higher dimensional numerical renormalization scheme based on the tensor product state ansatz, Phys. Rev.E 64 (2001) 016705 [cond-mat/0101360] [INSPIRE].
3. M. Levin and C.P. Nave, Tensor renormalization group approach to 2D classical lattice models, Phys. Rev. Lett.99 (2007) 120601 [cond-mat/0611687] [INSPIRE].
4. Z.-C. Gu and X.-G. Wen, Tensor-entanglement-filtering renormalization approach and symmetry protected topological order, Phys. Rev.B 80 (2009) 155131 [arXiv:0903.1069] [INSPIRE].
5. Y. Shimizu, Tensor renormalization group approach to a lattice boson model, Mod. Phys. Lett.A 27 (2012) 1250035 [INSPIRE].
Cited by
21 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献