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

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 [L. Tarruell et al., Nature 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.

11 pages, 16 figures

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• Fast initialization of a high-fidelity quantum register using optical superlattices

Cited by in corpus (12)

• Artificial graphene with tunable interactions
• Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
• Quantum phases in tunable state-dependent hexagonal optical lattices
• Construction of real-valued localized composite Wannier functions for insulators
• Group theory of Wannier functions providing the basis for a deeper understanding of magnetism and superconductivity
• Breakdown of the Peierls substitution for the Haldane model with ultracold atoms
• Wannier functions using a discrete variable representation for optical lattices
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Ab initio analysis of the topological phase diagram of the Haldane model
• Matter waves in two-dimensional arbitrary atomic crystals
• Correspondence between a shaken honeycomb lattice and the Haldane model
• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field