二维光晶格中Dirac点移动与合并的自洽紧束缚描述
Self-consistent tight-binding description of Dirac points moving and merging in two dimensional optical lattices
摘要：
我们提出了一个精确的从头算紧束缚模型，能够描述可调蜂窝光晶格中Dirac点的动力学行为。Tarruell等人，Nature 483，302（2012）]。我们的计划是基于第一性原理的最大本地化的Wannier函数的复合带。计算了不同晶格组态的隧穿系数，并很好地再现了光谱性质，具有较高的精度。特别是，我们表明，需要紧密结合的描述，以准确地再现狄拉克点的位置和色散定律接近他们的合并，对于不同的激光强度。
英文摘要：
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.
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