Tensor renormalization group approach to 2D classical lattice models

Details Tensor renormalization group approach to 2D classical lattice models Tensor renormalization group approach to 2D classical lattice models

2006-11-27

arxiv.org/abs/cond-mat/0611687v2

Phys. Rev. Lett. 99, 120601 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 7 figures

Scientific paper

10.1103/PhysRevLett.99.120601

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.

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