Abstract
The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The phase transition between the nematic and VBS phases is expected to be a continuous one with unconventional critical indices (deconfined criticality). The geometrical character (spatial anisotropy) is taken into account by imposing the screw-boundary condition (Novotny's method). Diagonalizing the finite-size cluster with N≤20 spins, we observe a clear indication of continuous phase transition. The correlation-length critical exponent is estimated as ν=0.92(10).
| Original language | English |
|---|---|
| Article number | 054417 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 83 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2011 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
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Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice. / Nishiyama, Yoshihiro.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 83, No. 5, 054417, 2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice
AU - Nishiyama, Yoshihiro
PY - 2011
Y1 - 2011
N2 - The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The phase transition between the nematic and VBS phases is expected to be a continuous one with unconventional critical indices (deconfined criticality). The geometrical character (spatial anisotropy) is taken into account by imposing the screw-boundary condition (Novotny's method). Diagonalizing the finite-size cluster with N≤20 spins, we observe a clear indication of continuous phase transition. The correlation-length critical exponent is estimated as ν=0.92(10).
AB - The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The phase transition between the nematic and VBS phases is expected to be a continuous one with unconventional critical indices (deconfined criticality). The geometrical character (spatial anisotropy) is taken into account by imposing the screw-boundary condition (Novotny's method). Diagonalizing the finite-size cluster with N≤20 spins, we observe a clear indication of continuous phase transition. The correlation-length critical exponent is estimated as ν=0.92(10).
UR - http://www.scopus.com/inward/record.url?scp=79960978483&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79960978483&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.83.054417
DO - 10.1103/PhysRevB.83.054417
M3 - Article
AN - SCOPUS:79960978483
VL - 83
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 5
M1 - 054417
ER -