English

Systematic Derivation of Order Parameters through Reduced Density Matrices

Strongly Correlated Electrons 2007-05-23 v2 Statistical Mechanics

Abstract

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 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 which are considered to exhibit dimer, scalar chiral, and topological orders.

Keywords

Cite

@article{arxiv.cond-mat/0508469,
  title  = {Systematic Derivation of Order Parameters through Reduced Density Matrices},
  author = {Shunsuke Furukawa and Gregoire Misguich and Masaki Oshikawa},
  journal= {arXiv preprint arXiv:cond-mat/0508469},
  year   = {2007}
}

Comments

4 pages, 3 figures

R2 v1 2026-07-22T11:21:37.653Z