We discuss how to construct tight-binding models for ultra cold atoms in honeycomb potentials, by means of the maximally localized Wannier functions (MLWFs) for composite bands introduced by \citet{marzari1997}. In particular, we work out the model with up to third-nearest neighbors, and provide explicit calculations of the MLWFs and of the tunneling coefficients for the graphene-lyke potential with two degenerate minima per unit cell. Finally, we discuss the degree of accuracy in reproducing the exact Bloch spectrum of different tight-binding approximations, in a range of typical experimental parameters.

Tight-binding models for ultracold atoms in honeycomb optical lattices / Julen Ibañez-Azpiroz; Asier Eiguren; Aitor Bergara; GIULIO PETTINI; Michele Modugno. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - STAMPA. - 87:(2013), pp. 011602 -1 (R)-011602-5 (R). [10.1103/PhysRevA.87.011602]

Tight-binding models for ultracold atoms in honeycomb optical lattices

PETTINI, GIULIO;MODUGNO, MICHELE
2013

Abstract

We discuss how to construct tight-binding models for ultra cold atoms in honeycomb potentials, by means of the maximally localized Wannier functions (MLWFs) for composite bands introduced by \citet{marzari1997}. In particular, we work out the model with up to third-nearest neighbors, and provide explicit calculations of the MLWFs and of the tunneling coefficients for the graphene-lyke potential with two degenerate minima per unit cell. Finally, we discuss the degree of accuracy in reproducing the exact Bloch spectrum of different tight-binding approximations, in a range of typical experimental parameters.
2013
87
011602 -1 (R)
011602-5 (R)
Julen Ibañez-Azpiroz; Asier Eiguren; Aitor Bergara; GIULIO PETTINI; Michele Modugno
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/787731
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