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Fermionic quantum criticality in honeycomb and $pi$-flux Hubbard models | | Francesco Parisen Toldin
; Martin Hohenadler
; Fakher F. Assaad
; Igor F. Herbut
; | | Date: |
10 Nov 2014 | | Abstract: | 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 improved renormalization-group
invariant observables. This approach, which is successfully verified for the 3D
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. | | Source: | arXiv, 1411.2502 | | Services: | Forum | Review | PDF | Favorites | |
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