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000172722 0247_ $$2doi$$a10.1103/PhysRevA.90.033609
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000172722 1001_ $$0P:(DE-Juel1)161546$$aAzpiroz, Julen Ibanez$$b0$$eCorresponding Author$$ufzj
000172722 245__ $$aBreakdown of the Peierls substitution for the Haldane model with ultracold atoms
000172722 260__ $$aCollege Park, Md.$$bAPS$$c2014
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000172722 520__ $$aWe 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.
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000172722 7001_ $$0P:(DE-HGF)0$$aEiguren, Asier$$b1
000172722 7001_ $$0P:(DE-HGF)0$$aBergara, Aitor$$b2
000172722 7001_ $$0P:(DE-HGF)0$$aPettini, Giulio$$b3
000172722 7001_ $$0P:(DE-HGF)0$$aModugno, Michele$$b4
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000172722 9132_ $$0G:(DE-HGF)POF3-143$$1G:(DE-HGF)POF3-140$$2G:(DE-HGF)POF3-100$$aDE-HGF$$bPOF III$$lForschungsbereich Energie$$vFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$x0
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