% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Azpiroz:172722,
      author       = {Azpiroz, Julen Ibanez and Eiguren, Asier and Bergara, Aitor
                      and Pettini, Giulio and Modugno, Michele},
      title        = {{B}reakdown of the {P}eierls substitution for the {H}aldane
                      model with ultracold atoms},
      journal      = {Physical review / A},
      volume       = {90},
      number       = {3},
      issn         = {1050-2947},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2014-06166},
      pages        = {033609},
      year         = {2014},
      abstract     = {We present two independent approaches for calculating the
                      tight-binding parameters of the Haldane modelwith ultracold
                      atoms. The tunneling coefficients up to next-nearest
                      neighbors are computed ab initio by using themaximally
                      localizedWannier functions and compared to analytical
                      expressions written in terms of gauge-invariantmeasurable
                      properties of the spectrum. The two approaches present a
                      remarkable agreement and evidence thebreakdown of the
                      Peierls substitution: (i) the phase acquired by the
                      next-nearest tunneling amplitude t1 presentsquantitative and
                      qualitative differences with respect to that obtained by the
                      integral of the vector field A, asconsidered in the Peierls
                      substitution, even in the regime of low amplitudes of A; and
                      (ii) for larger values, also|t1| and the nearest-neighbor
                      tunneling t0 have a marked dependence on A. The origin of
                      this behavior and itsimplications are discussed.},
      cin          = {IAS-1 / PGI-1 / JARA-FIT},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-1-20090406 / I:(DE-Juel1)PGI-1-20110106 /
                      $I:(DE-82)080009_20140620$},
      pnm          = {422 - Spin-based and quantum information (POF2-422)},
      pid          = {G:(DE-HGF)POF2-422},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000341294300013},
      doi          = {10.1103/PhysRevA.90.033609},
      url          = {https://juser.fz-juelich.de/record/172722},
}