%0 Journal Article
%A Azpiroz, Julen Ibanez
%A Eiguren, Asier
%A Bergara, Aitor
%A Pettini, Giulio
%A Modugno, Michele
%T Breakdown of the Peierls substitution for the Haldane model with ultracold atoms
%J Physical review / A
%V 90
%N 3
%@ 1050-2947
%C College Park, Md.
%I APS
%M FZJ-2014-06166
%P 033609
%D 2014
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000341294300013
%R 10.1103/PhysRevA.90.033609
%U https://juser.fz-juelich.de/record/172722