2013年12月13日
Possibility of deconfined criticality in SU(N) Heisenberg models at small N
Physical Review B - Condensed Matter and Materials Physics
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- 巻
- 88
- 号
- 22
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevB.88.220408
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) Néel 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≡1/ν as the system size increases. We also confirm the relevance of a squared valence-bond solid field Ψ2 for the SU(3) model. © 2013 American Physical Society.
- ID情報
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- DOI : 10.1103/PhysRevB.88.220408
- ISSN : 1098-0121
- ISSN : 1550-235X
- SCOPUS ID : 84890638666