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Phys. Rev. Lett. 96, 047211 (2006) [4 pages]

Systematic Derivation of Order Parameters through Reduced Density Matrices

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Shunsuke Furukawa1, Grégoire Misguich2, and Masaki Oshikawa1
1Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152-8551, Japan
2Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France

Received 19 August 2005; published 3 February 2006

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.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.047211
DOI:
10.1103/PhysRevLett.96.047211
PACS:
75.10.Jm, 02.70.−c, 05.30.−d