Antiferromagnetic to valence-bond-solid transitions in two-dimensional SU(N) Heisenberg models with multispin interactions

By J. Lou, A. Sandvik, N. Kawashima. 2009

170 citations recorded by the source corpus.

We study two-dimensional Heisenberg antiferromagnets with additional multi-spin 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 cross-over of the order-parameter symmetry from Z4 deep inside the valence-bond-solid phase to U(1) as the phase transition is approached.

Subfields: Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/d64aa878da34928e2bfdbeab2ed3bd99edc47407

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In Condensed Matter Physics

1. Chong Wang
2. Cenke Xu
3. A. Nahum
4. T. Senthil
5. M. Metlitski
6. S. Sachdev
7. E. Witten
8. S. Hartnoll

Citations in the corpus

• Deconfined quantum critical points: symmetries and dualities (2017, background): “The emergence of U(1) symmetry for the VBS in JQ model simulations [6, 8] implies that this term”