TY  - JOUR
AU  - Azpiroz, Julen Ibanez
AU  - Eiguren, Asier
AU  - Bergara, Aitor
AU  - Pettini, Giulio
AU  - Modugno, Michele
TI  - Breakdown of the Peierls substitution for the Haldane model with ultracold atoms
JO  - Physical review / A
VL  - 90
IS  - 3
SN  - 1050-2947
CY  - College Park, Md.
PB  - APS
M1  - FZJ-2014-06166
SP  - 033609
PY  - 2014
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000341294300013
DO  - DOI:10.1103/PhysRevA.90.033609
UR  - https://juser.fz-juelich.de/record/172722
ER  -