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@ARTICLE{Liebsch:201784,
      author       = {Liebsch, Ansgar and Wu, Wei},
      title        = {{C}oulomb correlations in the honeycomb lattice: {R}ole of
                      translation symmetry},
      journal      = {Physical review / B},
      volume       = {87},
      number       = {20},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2015-04078},
      pages        = {205127},
      year         = {2013},
      abstract     = {The effect of Coulomb correlations in the half-filled
                      Hubbard model of the honeycomb lattice is studied within the
                      dynamical cluster approximation (DCA) combined with exact
                      diagonalization (ED) and continuous-time quantum Monte Carlo
                      (QMC), for unit cells consisting of six-site rings. The
                      important difference between this approach and the
                      previously employed cluster dynamical mean-field theory
                      (CDMFT) is that DCA preserves the translation symmetry of
                      the system, while CDMFT violates this symmetry. As the Dirac
                      cones of the honeycomb lattice are the consequence of
                      perfect long-range order, DCA yields semimetallic behavior
                      at small on-site Coulomb interactions U, whereas CDMFT gives
                      rise to a spurious excitation gap even for very small U.
                      This basic difference between the two cluster approaches is
                      found regardless of whether ED or QMC is used as the
                      impurity solver. At larger values of U, the lack of
                      translation symmetry becomes less important, so that the
                      CDMFT reveals a Mott gap, in qualitative agreement with
                      large-scale QMC calculations. In contrast, the semimetallic
                      phase obtained in DCA persists even at U values where CDMFT
                      and large-scale QMC consistently show Mott-insulating
                      behavior.},
      cin          = {IAS-1 / PGI-1},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-1-20090406 / I:(DE-Juel1)PGI-1-20110106},
      pnm          = {422 - Spin-based and quantum information (POF2-422)},
      pid          = {G:(DE-HGF)POF2-422},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000319252600004},
      doi          = {10.1103/PhysRevB.87.205127},
      url          = {https://juser.fz-juelich.de/record/201784},
}