Thermal phase transition of generalized Heisenberg models for SU(N) spins on square and honeycomb lattices

@article{Suzuki2015ThermalPT,
  title={Thermal phase transition of generalized Heisenberg models for SU(N) spins on square and honeycomb lattices},
  author={T. Suzuki and K. Harada and H. Matsuo and S. Todo and N. Kawashima},
  journal={Physical Review B},
  year={2015},
  volume={91},
  pages={094414}
}
We investigate thermal phase transitions to a valence-bond solid phase in SU(N) Heisenberg models with four- or six-body interactions on a square or honeycomb lattice, respectively. In both cases, a thermal phase transition occurs that is accompanied by rotational symmetry breaking of the lattice. We perform quantum Monte Carlo calculations in order to clarify the critical properties of the models. The estimated critical exponents indicate that the universality classes of the square- and… Expand

Figures and Tables from this paper

Original electric-vertex formulation of the symmetric eight-vertex model on the square lattice is fully nonuniversal.
TLDR
Both electric and magnetic versions of the symmetric eight-vertex model are studied numerically by using the corner transfer matrix renormalization-group method which provides reliable data, and the obtained dependencies of critical exponents on the model's parameters agree with Baxter's exact solution. Expand
Continuously Varying Critical Exponents Beyond Weak Universality
TLDR
A new scaling theory is proposed that explains the present experimental results, reduces to the weak universality as a special case, and provides a generic route leading to continuous variation of critical exponents and multi-criticality. Expand
Parallel loop cluster quantum Monte Carlo simulation of quantum magnets based on global union-find graph algorithm
TLDR
By combining the nonlocal global updates and the large-scale parallelization, this work has virtually achieved about 1 0 13 -fold speed-up from the conventional local update Monte Carlo simulation performed on a single core. Expand
Critical exponents of the nonlinear sigma model on a Grassmann manifold U ( N ) / U ( m ) U ( N − m ) by the 1 / N -expansion
Motivated by the realization of $\mathrm{SU}(N)$ antiferromagnetism with the multirow representations in cold-atom physics, we studied its low-energy nonlinear sigma model defined on the GrassmannExpand
Structure of spin correlations in high-temperature SU(N) quantum magnets
Quantum magnets with a large SU($N$) symmetry are a promising playground for the discovery of new forms of exotic quantum matter. Motivated by recent experimental efforts to study SU($N$) quantumExpand

References

SHOWING 1-10 OF 30 REFERENCES
Exactly Solved Models in Statistical Mechanics
R J Baxter 1982 London: Academic xii + 486 pp price £43.60 Over the past few years there has been a growing belief that all the twodimensional lattice statistical models will eventually be solved andExpand
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
Phys
  • Rev. B 87, 180404(R)
  • 2013
Phys
  • Rev. B 88, 220408(R)
  • 2013
Journal of Physics: Conference Series: Preface
Phys
  • Rev. B 80, 180414
  • 2009
Soc
  • Jpn. 74 Suppl., 1
  • 2005
N
  • V. Prokof’ev, and B. V. Svistunov, Phys. Rev. Lett. 110, 185701
  • 2013
Phys
  • Rev. Lett. 111, 087203
  • 2013
Phys
  • Rev. Lett. 108, 137201
  • 2012
...
1
2
3
...