Systematic derivation of order parameters through reduced density matrices

Shunsuke Furukawa, Grégoire Misguich, Masaki Oshikawa

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


A systematic method for determining order parameters for quantum many-body systems on lattices is developed by utilizing reduced density matrices. This method allows one to extract the order parameter directly from the wave functions of the degenerate ground states without the aid of empirical knowledge, and thus opens a way to explore unknown exotic orders. The applicability of this method is demonstrated numerically or rigorously in models that are considered to exhibit dimer, scalar chiral, and topological orders.

Original languageEnglish
Article number047211
JournalPhysical review letters
Issue number4
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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