金属光子波导网络中的紧束缚光子带和Kagome晶格中的平坦带
Tight-binding photonic bands in metallophotonic waveguide networks and flat bands in kagome lattices
摘要：
我们提出在金属光子波导网络中可以实现“紧束缚光子带”，即局域在网络交叉点附近的光子束缚态形成紧束缚带。在交叉点处的束缚态的形成不同于光子晶体中缺陷处的常规束缚态或虚束缚态，而是来自波动力学中零点态的光子对应物。模型计算表明，低的光子色散确实是准确描述的紧束缚模型。为了说明我们如何利用紧束缚类比来进行光子带的{ \it设计}，我们提出了一个在kagome网络中的“平坦光子带”，其中光子平坦带的群速度可以小到真空中光速的1/1000倍。
英文摘要：
We propose that we can realize "tight-binding photonic bands" in metallophotonic waveguide networks, where the photonic bound states localized around the crossings of a network form a tight-binding band. The formation of bound states at the crossings is distinct from the conventional bound states at defects or virtual bound states in photonic crystals, but comes from a photonic counterpart of the zero-point states in wave mechanics. Model calculations show that the low-lying photon dispersions are indeed described accurately by the tight-binding model. To exemplify how we can exploit the tight-binding analogy for a {\it designing} of photonic bands, we propose a "flat photonic band" in the kagome network, in which the photonic flat band is shown to arise with group velocities that can be as small as 1/1000 times the velocity of light in vacuum.
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