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Tensor renormalization group approach to 2D classical lattice models

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arxiv cond-mat/0611687 v2 pith:5PMS3R3X submitted 2006-11-27 cond-mat.stat-mech quant-ph

Tensor renormalization group approach to 2D classical lattice models

classification cond-mat.stat-mech quant-ph
keywords classicalgrouplatticerenormalizationapproachmethodmodelstechnique
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 8 Pith papers

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