Abstract
We propose a new method based on reduced density matrices for determining order parameters of quantum spin systems. Our method can extract the order parameter directly from ground-state wave functions without prior knowledge, and thus has a potential for detecting unknown exotic orders. We numerically apply our method to the multiple-spin exchange model on the ladder and detect the staggered dimer and the scalar chiral orders which have been found in previous studies. We also consider the resonating valence bond liquid in a solvable quantum dimer model and demonstrate through reduced density matrices that its ground states cannot be characterized by any local order parameter.
| Original language | English |
|---|---|
| Pages (from-to) | 143-147 |
| Number of pages | 5 |
| Journal | Progress of Theoretical Physics Supplement |
| Volume | 159 |
| DOIs | |
| Publication status | Published - 2005 Jan 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Detection of exotic order parameters of quantum antiferromagnets through reduced density matrices. / Furukawa, Shunsuke; Misguich, Grégoire; Oshikawa, Masaki.
In: Progress of Theoretical Physics Supplement, Vol. 159, 01.01.2005, p. 143-147.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Detection of exotic order parameters of quantum antiferromagnets through reduced density matrices
AU - Furukawa, Shunsuke
AU - Misguich, Grégoire
AU - Oshikawa, Masaki
PY - 2005/1/1
Y1 - 2005/1/1
N2 - We propose a new method based on reduced density matrices for determining order parameters of quantum spin systems. Our method can extract the order parameter directly from ground-state wave functions without prior knowledge, and thus has a potential for detecting unknown exotic orders. We numerically apply our method to the multiple-spin exchange model on the ladder and detect the staggered dimer and the scalar chiral orders which have been found in previous studies. We also consider the resonating valence bond liquid in a solvable quantum dimer model and demonstrate through reduced density matrices that its ground states cannot be characterized by any local order parameter.
AB - We propose a new method based on reduced density matrices for determining order parameters of quantum spin systems. Our method can extract the order parameter directly from ground-state wave functions without prior knowledge, and thus has a potential for detecting unknown exotic orders. We numerically apply our method to the multiple-spin exchange model on the ladder and detect the staggered dimer and the scalar chiral orders which have been found in previous studies. We also consider the resonating valence bond liquid in a solvable quantum dimer model and demonstrate through reduced density matrices that its ground states cannot be characterized by any local order parameter.
UR - http://www.scopus.com/inward/record.url?scp=29444459264&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=29444459264&partnerID=8YFLogxK
U2 - 10.1143/PTPS.159.143
DO - 10.1143/PTPS.159.143
M3 - Article
VL - 159
SP - 143
EP - 147
JO - Progress of Theoretical Physics Supplement
JF - Progress of Theoretical Physics Supplement
SN - 0375-9687
ER -