arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.05407cond-mat.mes-hallcond-mat.dis-nn
收藏

无序石墨烯量子点中的原子坍缩

Atomic Collapse in Disordered Graphene Quantum Dots

Mustafa Polat, A. D. Güçlü

摘要:

本文数值研究了无序石墨烯量子点中相互作用狄拉克费米子的库仑杂质问题。在扩展平均场哈伯德模型下,通过局域态密度计算,研究了在随机分布的晶格缺陷和空间势涨落存在下,原子坍缩的临界耦合常数的响应.我们发现,这两种类型的障碍造成的临界阈值的放大。其结果是,高达百分之三十四的临界耦合常数增加的报告。这个数值结果可以解释为什么库仑杂质在实验中保持亚临界,即使它们在理论上是超临界的。我们的研究结果还指出,原子崩溃的可能性,可以观察到在缺陷丰富的样品,如Ar $^{+}$离子轰击,He $^{+}$离子照射,氢化石墨烯。

英文摘要:

In this paper, we numerically study a Coulomb impurity problem for interacting Dirac fermions restricted in disordered graphene quantum dots. In the presence of randomly distributed lattice defects and spatial potential fluctuations, the response of the critical coupling constant for atomic collapse is mainly investigated by local density of states calculations within the extended mean-field Hubbard model. We find that both types of disorder cause an amplification of the critical threshold. As a result, up to thirty-four percent increase in the critical coupling constant is reported. This numerical result may explain why the Coulomb impurities remain subcritical in experiments, even if they are supercritical in theory. Our results also point to the possibility that atomic collapse can be observed in defect-rich samples such as Ar$^{+}$ ion bombarded, He$^{+}$ ion irradiated, and hydrogenated graphene.

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。

↑