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arXiv 2006.14532cond-mat.mes-hall
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均匀单轴应变石墨烯中点电荷和偶极电荷杂质的临界行为

Critical behavior for point monopole and dipole electric impurities in uniformily and uniaxially strained graphene

J. C. Pérez-Pedraza, E. Díaz-Bautista, A. Raya, D. Valenzuela

摘要:

我们重新审视的问题下,在石墨烯的点电致伸缩和偶极杂质电位的影响下,延伸到这种材料的膜是均匀和单轴应变的情况下,这导致重新定义的电荷和偶极矩,分别在束缚态。通过考虑各向异性的费米速度,我们解析求解每个潜在的狄拉克方程。我们观察到,各向异性的影响是促进或抑制每种杂质已知发生的临界行为,这取决于施加应变的方向:对于双极杂质,原子坍缩,以及对于偶极杂质,具有普遍的Efimov样标度的无限多个束缚态的级联的出现,是由于应变而在较少或较多限制条件下发生的现象。

英文摘要:

We revisit the problem of bound states in graphene under the influence of point electric monopole and dipole impurity potentials extended to the case in which the membrane of this material is uniformly and uniaxially strained, which leads to a redefinition of the charge and dipole moment, respectively. By considering an anisotropic Fermi velocity, we analytically solve the resulting Dirac equation for each potential. We observe that the effect of the anisotropy is to promote or inhibit the critical behavior known to occur for each kind of impurity, depending on the direction along which strain is applied: both the atomic collapse, for the monopole impurity, and the emergence of cascades of infinitely many bound states with a universal Efimov-like scaling, for the dipole impurity, are phenomena that occur under less or more restrictive conditions due to strain.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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