Literature DB >> 17930489

Tensor renormalization group approach to two-dimensional classical lattice models.

Michael Levin1, Cody P Nave.   

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 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.

Year:  2007        PMID: 17930489     DOI: 10.1103/PhysRevLett.99.120601

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  2 in total

1.  A simple tensor network algorithm for two-dimensional steady states.

Authors:  Augustine Kshetrimayum; Hendrik Weimer; Román Orús
Journal:  Nat Commun       Date:  2017-11-03       Impact factor: 14.919

2.  Entropy Affects the Competition of Ordered Phases.

Authors:  Balázs Király; György Szabó
Journal:  Entropy (Basel)       Date:  2018-02-10       Impact factor: 2.524

  2 in total

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