论文标题
库仑杂质在裂开石墨烯中的临界过渡
The critical transition of Coulomb impurities in gapped graphene
论文作者
论文摘要
石墨烯中超临界电荷杂质的影响与Z> 137的QED中的超临界原子崩溃非常相似，但临界电荷较低。从这个意义上讲，石墨烯可被视为分析量子场理论真空不稳定性的自然测试场。我们分析了一个共同的框架中含量的石墨烯中从亚临界的量子转变到超临界电荷机制，该框架保留了任何电荷杂质的值。在超临界状态下，可以引入边界条件，以控制杂质的奇异行为。我们表明，对于亚临界电荷，也有非平凡的边界条件，这些条件与中间状态中出现的核中出现的核中的边界条件相似。118<z <z <137。我们分析与不同边界条件相关的能量水平的行为。特别是，我们指出了亚临界体制中的新结合状态，其中包括有吸引力的库仑政权中的负能量结合状态。显着特性是即使在临界电荷过渡中跳跃时，能量光流的连续性也是杂质电荷变化的连续性。我们还指出，在电荷杂质的临界值下结合的氢基结合状态的能级充当光谱流的焦点。
The effect of supercritical charge impurities in graphene is very similar to the supercritical atomic collapses in QED for Z > 137, but with a much lower critical charge. In this sense graphene can be considered as a natural testing ground for the analysis of quantum field theory vacuum instabilities. We analyze the quantum transition from subcritical to supercritical charge regimes in gapped graphene in a common framework that preserves unitarity for any value of charge impurities. In the supercritical regime it is possible to introduce boundary conditions which control the singular behavior at the impurity. We show that for subcritical charges there are also non-trivial boundary conditions which are similar to those that appear in QED for nuclei in the intermediate regime 118<Z<137. We analyze the behavior of the energy levels associated to the different boundary conditions. In particular, we point out the existence of new bound states in the subcritical regime which include a negative energy bound state in the attractive Coulomb regime. A remarkable property is the continuity of the energy spectral flow under variation of the impurity charge even when jumping across the critical charge transition. We also remark that the energy levels of Hydrogenoid bound states at critical values of charge impurities act as focal points of the spectral flow.
