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Self-consistent tight-binding description of Dirac points moving and merging in two-dimensional optical lattices

AuthorsIbañez-Azpiroz, Julen; Eiguren, Asier; Bergara, Aitor ; Pettini, Giulio; Modugno, Michele
Issue Date2013
PublisherAmerican Physical Society
CitationPhysical Review A 88: 033631 (2013)
AbstractWe present an accurate ab initio tight-binding model, capable of describing the dynamics of Dirac points in tunable honeycomb optical lattices following a recent experimental realization. Our scheme is based on first-principle maximally localized Wannier functions for composite bands. The tunneling coefficients are calculated for different lattice configurations, and the spectrum properties are well reproduced with high accuracy. In particular, we show which tight-binding description is needed in order to accurately reproduce the position of Dirac points and the dispersion law close to their merging, for different laser intensities. © 2013 American Physical Society.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevA.88.033631
Identifiersdoi: 10.1103/PhysRevA.88.033631
issn: 1050-2947
e-issn: 1094-1622
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