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Title: Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
Authors: Harada, Kenji  kyouindb  KAKEN_id
Suzuki, Takafumi
Okubo, Tsuyoshi
Matsuo, Haruhiko
Lou, Jie
Watanabe, Hiroshi
Todo, Synge
Kawashima, Naoki
Author's alias: 原田, 健自
Issue Date: 13-Dec-2013
Publisher: American Physical Society
Journal title: Physical Review B
Volume: 88
Issue: 22
Thesis number: 220408(R)
Abstract: 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 Ψ_2 for the SU(3) model.
Rights: ©2013 American Physical Society
DOI(Published Version): 10.1103/PhysRevB.88.220408
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