We 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 [Tarruell et al., Nature (London) 483, 302 (2012)]. 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.
Self-consistent tight-binding description of Dirac points moving and merging in two dimensional optical lattices / Julen Ibañez-Azpiroz; Asier Eiguren; Aitor Bergara; Giulio Pettini; Michele Modugno. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - STAMPA. - 88:(2013), pp. 033631-1-033631-11. [10.1103/PhysRevA.88.033631]
Self-consistent tight-binding description of Dirac points moving and merging in two dimensional optical lattices
PETTINI, GIULIO;MODUGNO, MICHELE
2013
Abstract
We 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 [Tarruell et al., Nature (London) 483, 302 (2012)]. 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.File | Dimensione | Formato | |
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