Shytov A V, Katsnelson M I, Levitov L S
Brookhaven National Laboratory, Upton, New York 11973-5000, USA.
Phys Rev Lett. 2007 Dec 14;99(24):246802. doi: 10.1103/PhysRevLett.99.246802.
Charge impurities in graphene can host an infinite family of Rydberg-like resonance states of massless Dirac particles. These states, appearing for supercritical charge, are described by Bohr-Sommerfeld quantization of collapsing classical trajectories that descend on point charge, in analogy to the hydrogenic Rydberg states relation with planetary orbits. Strong tunnel coupling of these states to the Dirac continuum leads to resonance features in scattering on the impurities that manifest themselves in transport properties and in the local density of states.
石墨烯中的电荷杂质可以容纳无质量狄拉克粒子的无穷多个类里德堡共振态。这些出现在超临界电荷情况下的态,是通过坍缩到点电荷的经典轨迹的玻尔 - 索末菲量子化来描述的,这类似于氢里德堡态与行星轨道的关系。这些态与狄拉克连续体的强隧道耦合导致杂质散射中的共振特征,这些特征在输运性质和局域态密度中表现出来。