Antiferromagnetic to valence-bond-solid transitions in two-dimensional SU(N) Heisenberg models with multispin interactions
Abstract
We study two-dimensional Heisenberg antiferromagnets with additional multispin interactions which can drive the system into a valence-bond-solid state. For standard SU(2) spins, we consider both four- and six-spin interactions. We find continuous quantum phase transitions with the same critical exponents. Extending the symmetry to SU(N) , we also find continuous transitions for N=3 and 4. In addition, we also study quantitatively the crossover of the order-parameter symmetry from Z4 deep inside the valence-bond-solid phase to U(1) as the phase transition is approached.
- Publication:
-
Physical Review B
- Pub Date:
- November 2009
- DOI:
- 10.1103/PhysRevB.80.180414
- arXiv:
- arXiv:0908.0740
- Bibcode:
- 2009PhRvB..80r0414L
- Keywords:
-
- 75.10.Jm;
- 75.10.Nr;
- 75.40.Cx;
- 75.40.Mg;
- Quantized spin models;
- Spin-glass and other random models;
- Static properties;
- Numerical simulation studies;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 4 pages, 5 figures