蜂窝格点上Dirac费米子的位置空间表述
Position space formulation for Dirac fermions on honeycomb lattice
摘要：
研究了位置空间中如何构造定义在蜂窝格点上的狄拉克费米子。从紧束缚模型中的最近邻相互作用出发，证明了哈密顿量是由三种味Dirac费米子的动力学项和二阶导数项构成的，其中一种味的质量为截止阶，其它味的质量为零.在这个公式中，狄拉克点的结构被简化，以便它的唯一性可以很容易地显示，即使我们考虑次近邻相互作用。我们还显示了手征对称性在有限的晶格间距，这保护了狄拉克费米子的无质量，并讨论了交错费米子配方的类比。
英文摘要：
We study how to construct Dirac fermion defined on the honeycomb lattice in position space. Starting from the nearest neighbor interaction in tight binding model, we show that the Hamiltonian is constructed by kinetic term and second derivative term of three flavor Dirac fermions in which one flavor has a mass of cutoff order and the other flavors are massless. In this formulation the structure of the Dirac point is simplified so that its uniqueness can be easily shown even if we consider the next-nearest neighbor interaction. We also show the chiral symmetry at finite lattice spacing, which protects the masslessness of the Dirac fermion, and discuss the analogy with the staggered fermion formulation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
