Tensor renormalization group approach to 2D classical lattice models

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.

4 pages, 7 figures

References in corpus (3)

• The density-matrix renormalization group
• Classical simulation of quantum many-body systems with a tree tensor network
• Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems

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