Journal
PHYSICAL REVIEW B
Volume 91, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.91.165108
Keywords
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Funding
- Deutsche Forschungsgemeinschaft [AS120/9-1, Ho 4489/3-1 (FOR 1807)]
- NSERC of Canada
- Max Planck Institute for the Physics of Complex Systems in Dresden
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We numerically investigate the critical behavior of the Hubbard model on the honeycomb and the pi-flux lattice, which exhibits a direct transition from a Dirac semimetal to an antiferromagnetically ordered Mott insulator. We use projective auxiliary-field quantum Monte Carlo simulations and a careful finite-size scaling analysis that exploits approximately improved renormalization-group-invariant observables. This approach, which is successfully verified for the three-dimensional XY transition of the Kane-Mele-Hubbard model, allows us to extract estimates for the critical couplings and the critical exponents. The results confirm that the critical behavior for the semimetal to Mott insulator transition in the Hubbard model belongs to the Gross-Neveu-Heisenberg universality class on both lattices.
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