将无质量Dirac粒子捕获在旋转鞍形空间中
Trapping massless Dirac particles in a rotating saddle
摘要：
研究了旋转鞍形势场中的粒子运动。众所周知，这种旋转势可以通过旋转坐标系中的势、离心力和科里奥利力的组合来产生具有抛物线色散定律的粒子的有界运动。当应用于无质量的狄拉克粒子时，例如石墨烯中的电子，这样的势被证明会导致本征态在某些能量下在空间上位于鞍形中心附近。虽然在这些能量下也存在其他状态，但它们在振子基中具有不重叠的支持，这往往会在存在缺陷时给予局域态相当长的寿命。
英文摘要：
We study particle motion in rotating saddle-shaped potentials. It is known that such rotating potentials can generate bounded motion for particles with a parabolic dispersion law through the combination of potential, centrifugal and Coriolis forces in the rotating frame. When applied to massless Dirac particles, for example electrons in graphene, such a potential is shown to lead to eigenstates that are spatially localized near the center of the saddle at certain energies. Although other states also exist at these energies, they have non-overlapping support in the oscillator basis, which tend to give the localized states a substantial life-time also when imperfections are present.
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