Journal
PHYSICAL REVIEW B
Volume 88, Issue 22, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.220408
Keywords
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Funding
- MEXT KAKENHI [25287097]
- CMSI, MEXT-SPIRE, Japan
- Grants-in-Aid for Scientific Research [25287097, 23540450, 23540438] Funding Source: KAKEN
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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) Neel 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 nature of the phase transition, a clear systematic change towards the first-order transition is observed in the estimates of the critical exponent y equivalent to 1/nu as the system size increases. We also confirm the relevance of a squared valence-bond solid field Psi(2) for the SU(3) model.
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