corner
corner

Phys. Rev. Lett. 99, 120601 (2007) [4 pages]

Tensor Renormalization Group Approach to Two-Dimensional Classical Lattice Models

Download: PDF (276 kB) Buy this article Export: BibTeX or EndNote (RIS)

Michael Levin1 and Cody P. Nave2
1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
2Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Received 29 November 2006; published 19 September 2007

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 the density matrix renormalization group method. We demonstrate the method—which we call the tensor renormalization group method—by computing the magnetization of the triangular lattice Ising model.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.120601
DOI:
10.1103/PhysRevLett.99.120601
PACS:
05.10.Cc, 03.67.−a