English

Tensor renormalization group approach to 2D classical lattice models

Statistical Mechanics 2009-11-11 v2 Quantum Physics

Abstract

We describe a simple real space renormalization group technique for two dimensional classical lattice models. The approach is similar in spirit to block spin methods, but at the same time it is fundamentally based on the theory of quantum entanglement. In this sense, the technique can be thought of as a classical analogue of DMRG. We demonstrate the method - which we call the tensor renormalization group method - by computing the magnetization of the triangular lattice Ising model.

Keywords

Cite

@article{arxiv.cond-mat/0611687,
  title  = {Tensor renormalization group approach to 2D classical lattice models},
  author = {Michael Levin and Cody P. Nave},
  journal= {arXiv preprint arXiv:cond-mat/0611687},
  year   = {2009}
}

Comments

4 pages, 7 figures