Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions

Zheng Cheng Gu, Michael Levin, Xiao Gang Wen

Research output: Contribution to journalArticlepeer-review

187 Scopus citations

Abstract

Traditional mean-field theory is a generic variational approach for analyzing symmetry breaking phases. However, this simple approach only applies to symmetry breaking states with short-range entanglement. In this paper, we describe a generic approach for studying two-dimensional (2D) quantum phases with long-range entanglement (such as topological phases). The method is based on (a) a general class of trial wave functions known as tensor-product states and (b) a 2D real-space renormalization group algorithm for efficiently calculating expectation values for these states. We demonstrate our method by studying several simple 2D quantum spin models exhibiting both symmetry breaking phase transitions and topological phase transitions. Our approach can be viewed as a unified mean-field theory for both symmetry breaking phases and topological phases.

Original languageEnglish
Article number205116
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume78
Issue number20
DOIs
StatePublished - 24 Nov 2008
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions'. Together they form a unique fingerprint.

Cite this