Possibility of deconfined criticality in SU(N) Heisenberg models at small N

@article{Harada2013PossibilityOD,
  title={Possibility of deconfined criticality in SU(N) Heisenberg models at small N},
  author={K. Harada and T. Suzuki and T. Okubo and H. Matsuo and J. Lou and Hiroshi Watanabe and S. Todo and N. Kawashima},
  journal={Physical Review B},
  year={2013},
  volume={88},
  pages={220408}
}
To examine the validity of the scenario of the deconfined critical phenomena, we carry out a quantum Monte Carlo simulation for the SU($N$) generalization of the Heisenberg model with four-body and six-body interactions. The quantum phase transition between the SU($N$) N\'eel and valence-bond solid phases is characterized for $N=2,3,$ and $4$ on the square and honeycomb lattices. While finite-size scaling analysis works well up to the maximum lattice size ($L=256$) and indicates the continuous… Expand

Figures from this paper

Phase diagram and dynamics of the SU(N) symmetric Kondo lattice model
In heavy-fermion systems, the competition between the local Kondo physics and intersite magnetic fluctuations results in unconventional quantum critical phenomena which are frequently addressedExpand
Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
Numerical studies of the N\'eel to valence-bond solid phase transition in 2D quantum antiferromagnets give strong evidence for the remarkable scenario of deconfined criticality, but display strongExpand
Deconfined quantum critical point in one dimension.
We perform a numerical study of a spin-1/2 model with $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry in one dimension which demonstrates an interesting similarity to the physics of two-dimensionalExpand
Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu2(BO3)2
We study a possible deconfined quantum phase transition in a realistic model of a two-dimensional Shastry-Sutherland quantum magnet, using both numerical and field theoretic techniques. Using theExpand
Deconfined quantum critical point on the triangular lattice
We first propose a topological term that captures the "intertwinement" between the standard "$\sqrt{3} \times \sqrt{3}$" antiferromagnetic order (or the so-called 120$^\circ$ state) and theExpand
Continuous Easy-Plane Deconfined Phase Transition on the Kagome Lattice.
TLDR
Evidence that the phase transition is continuous at exactly 1/3 filling is provided, and a careful finite size scaling analysis reveals an unconventional scaling behavior hinting at deconfined quantum criticality. Expand
Deconfined quantum criticality in spin-1/2 chains with long-range interactions
We study spin-$1/2$ chains with long-range power-law decaying unfrustrated (bipartite) Heisenberg exchange $J_r \propto r^{-\alpha}$ and multi-spin interactions $Q$ favoring a valence-bond solidExpand
Emergent SO(5) Symmetry at the Néel to Valence-Bond-Solid Transition.
We show numerically that the "deconfined" quantum critical point between the Néel antiferromagnet and the columnar valence-bond solid, for a square lattice of spin 1/2, has an emergent SO(5)Expand
Deconfined criticality for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions
The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions by means ofExpand
One-dimensional model for deconfined criticality with Z3×Z3 symmetry
We continue recent efforts to discover examples of deconfined quantum criticality in one-dimensional models. In this work we investigate the transition between a Z₃ ferromagnet and a phase withExpand
...
1
2
3
4
5
...

References

) . 6 N . Read and S . Sachdev
  • Phys . Rev . B
  • 2008