光波与物质波的圆锥相交
Conical intersections for light and matter waves
摘要:
我们回顾了二维周期晶格的设计,理论和应用托管锥形交叉在其能量动量谱。最著名的例子是狄拉克锥,其中传播由有效狄拉克方程控制,电子自旋由“费米子”半整数赝自旋代替。然而,在许多系统中,如超材料,模态对称性导致形成具有整数或“玻色子”赝自旋的高阶圆锥交叉。利用这些性质不同的奇异色散关系设计晶格的能力开辟了许多应用,包括高级板条激光器、轨道角动量的产生、零折射率超材料以及相对论物质奇异相的量子模拟。
英文摘要:
We review the design, theory, and applications of two dimensional periodic lattices hosting conical intersections in their energy-momentum spectrum. The best known example is the Dirac cone, where propagation is governed by an effective Dirac equation, with electron spin replaced by a "fermionic" half-integer pseudospin. However, in many systems such as metamaterials, modal symmetries result in the formation of higher order conical intersections with integer or "bosonic" pseudospin. The ability to engineer lattices with these qualitatively different singular dispersion relations opens up many applications, including superior slab lasers, generation of orbital angular momentum, zero-index metamaterials, and quantum simulation of exotic phases of relativistic matter.
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