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

Jun 7, 2013
11 pages
Published in:
  • Phys.Rev.A 88 (2013) 3, 033631
  • Published: Sep 30, 2013
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Abstract: (APS)
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 , Nature (London)NATUAS0028-083610.1038/nature10871 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.
Note:
  • 11 pages, 16 figures
  • 67.85.Hj
  • 03.75.Lm
  • lattice: optical
  • laser: yield
  • dimension: 2
  • dispersion
  • tunneling