T_3光晶格中的无质量Dirac-Weyl费米子
Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
摘要：
我们提出了一个观测准相对论性无质量费米子的实验装置。它基于T_3光晶格，由三对反向传播的激光器实现，填充有费米子冷原子。在长波长近似下，T_3哈密顿量推广了蜂窝晶格的Dirac-Weyl哈密顿量，但赝自旋S=1的值较大。除了狄拉克锥之外，光谱还包括一个无色散的局域态分支，它在原子密度中产生有限的跳跃。此外，朗道能级的影响进行了讨论。
英文摘要：
We propose an experimental setup for the observation of quasi-relativistic massless Fermions. It is based on a T_3 optical lattice, realized by three pairs of counter-propagating lasers, filled with fermionic cold atoms. We show that in the long wavelength approximation the T_3 Hamiltonian generalizes the Dirac-Weyl Hamiltonian for the honeycomb lattice, however, with a larger value of the pseudo-spin S=1. In addition to the Dirac cones, the spectrum includes a dispersionless branch of localized states producing a finite jump in the atomic density. Furthermore, implications for the Landau levels are discussed.
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