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@ARTICLE{Ostmeyer:888526,
      author       = {Ostmeyer, Johann and Berkowitz, Evan and Krieg, Stefan and
                      Lähde, Timo A. and Luu, Thomas and Urbach, Carsten},
      title        = {{S}emimetal–{M}ott insulator quantum phase transition of
                      the {H}ubbard model on the honeycomb lattice},
      journal      = {Physical review / B},
      volume       = {102},
      number       = {24},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2020-04990},
      pages        = {245105},
      year         = {2020},
      abstract     = {We take advantage of recent improvements in the grand
                      canonical Hybrid Monte Carlo algorithm, to performa
                      precision study of the single-particle gap in the hexagonal
                      Hubbard model, with on-site electron-electron interactions.
                      Aftercarefully controlled analyses of the Trotter error, the
                      thermodynamic limit, and finite-size scaling with inverse
                      temperature, we find acritical coupling of
                      $U_c/\kappa=3.834(14)$ and the critical exponent
                      $z\nu=1.185(43)$. Under the assumption that this corresponds
                      to the expected anti-ferromagnetic Mott transition, weare
                      also able to provide a preliminary estimate
                      $\beta=1.095(37)$ for the critical exponent of the order
                      parameter. We consider our findings in viewof the $SU(2)$
                      Gross-Neveu, or chiral Heisenberg, universality class. We
                      also discuss the computational scaling of the Hybrid Monte
                      Carlo algorithm, and possible extensions of our work to
                      carbon nanotubes, fullerenes, and topological insulators.},
      cin          = {JSC / IAS-4 / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406 / I:(DE-Juel1)IAS-4-20090406 /
                      $I:(DE-82)080012_20140620$},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / Carbon Nano-Structures with High-Performance
                      Computing $(jjsc37_20190501)$},
      pid          = {G:(DE-HGF)POF3-511 / $G:(DE-Juel1)jjsc37_20190501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000595856200003},
      doi          = {10.1103/PhysRevB.102.245105},
      url          = {https://juser.fz-juelich.de/record/888526},
}