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@ARTICLE{Koch:2299,
      author       = {Koch, E. and Sangiovanni, G. and Gunnarsson, O.},
      title        = {{S}um-rules and bath-parametrization for quantum cluster
                      theories},
      journal      = {Physical review / B},
      volume       = {78},
      number       = {11},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PreJuSER-2299},
      pages        = {115102},
      year         = {2008},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {We analyze cellular dynamical mean-field theory (CDMFT) and
                      the dynamical cluster approximation (DCA). We derive exact
                      sum-rules for the hybridization functions and give examples
                      for dynamical mean-field theory, CDMFT, and DCA. For
                      impurity solvers based on a Hamiltonian, these sum rules can
                      be used to monitor convergence of the bath-parametrization.
                      We further discuss how the symmetry of the cluster naturally
                      leads to a decomposition of the bath Green matrix into
                      irreducible components, which can be parametrized
                      independently, and give an explicit recipe for finding the
                      optimal bath parametrization. As a benchmark we revisit the
                      one-dimensional Hubbard model. We carefully analyze the
                      evolution of the density as a function of chemical potential
                      and find that, close to the Mott transition, convergence
                      with cluster size is unexpectedly slow. Going from one to
                      two dimensions we find that fitting the bath becomes in
                      general significantly more difficult, requiring a large
                      number of bath sites. For such large baths our
                      symmetry-adapted approach should prove crucial for finding a
                      reliable bath-parametrization.},
      keywords     = {J (WoSType)},
      cin          = {IAS-1 / IFF-1 / JARA-FIT},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-1-20090406 / I:(DE-Juel1)VDB781 /
                      $I:(DE-82)080009_20140620$},
      pnm          = {Grundlagen für zukünftige Informationstechnologien},
      pid          = {G:(DE-Juel1)FUEK412},
      shelfmark    = {Physics, Condensed Matter},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000259690800029},
      doi          = {10.1103/PhysRevB.78.115102},
      url          = {https://juser.fz-juelich.de/record/2299},
}