Journal Article

FZJ-2014-06166

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Breakdown of the Peierls substitution for the Haldane model with ultracold atoms

Azpiroz, J. I. (Corresponding Author)FZJ* ; Eiguren, A. ; Bergara, A. ; Pettini, G. ; Modugno, M.

2014
APS College Park, Md.

This record in other databases:    

Please use a persistent id in citations: http://hdl.handle.net/2128/8112  doi:10.1103/PhysRevA.90.033609

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.

---

Contributing Institute(s):

1. Quanten-Theorie der Materialien (IAS-1)
2. Quanten-Theorie der Materialien (PGI-1)
3. JARA-FIT (JARA-FIT)

Research Program(s):

1. 422 - Spin-based and quantum information (POF2-422) (POF2-422)

Appears in the scientific report 2014

---

Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

---