Tensor-entanglement renormalization group approach to 2D quantum systems

Details Tensor-entanglement renormalization group approach to 2D quantum systems Tensor-entanglement renormalization group approach to 2D quantum systems

2008-06-23

arxiv.org/abs/0806.3509v1

Phys. Rev. B 78, 205116 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTeX4

Scientific paper

10.1103/PhysRevB.78.205116

Traditional mean-field theory is a simple generic approach for understanding various phases. But that approach only applies to symmetry breaking states with short-range entanglement. In this paper, we describe a generic approach for studying 2D quantum phases with long-range entanglement (such as topological phases). Our approach is a variational method that uses tensor product states (also known as projected entangled pair states) as trial wave functions. We use a 2D real space RG algorithm to evaluate expectation values in these wave functions. We demonstrate our algorithm by studying several simple 2D quantum spin models.

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