论文标题
石墨烯中的部分光谱流和Aharonov-Bohm效应
Partial spectral flow and the Aharonov-Bohm effect in graphene
论文作者
论文摘要
我们研究了由石墨烯片制成的打开管中的aharonov-bohm效应，其尺寸比石墨烯中的原子间距离大得多。在石墨烯薄板的附近和附近，外部磁场及其穿过管的通量消失。结果表明，在此过程中，Pi-Electron的紧密结合哈密顿量的能级不可避免地越过费米水平，这导致了电子孔对的产生。事实证明，对的数量等于外场的磁通量量子的数量。该证明是基于部分光谱流的新概念，该概念概括了已经具有众所周知的应用（例如，在超导体中的kopnin力和超导体中的kopnin力）中的普通光谱流中。
We study the Aharonov-Bohm effect in an openended tube made of a graphene sheet whose dimensions are much larger than the interatomic distance in graphene. An external magnetic field vanishes on and in the vicinity of the graphene sheet and its flux through the tube is adiabatically switched on. It is shown that, in the process, the energy levels of the tight-binding Hamiltonian of pi-electrons unavoidably cross the Fermi level, which results in the creation of electron-hole pairs. The number of pairs is proven to be equal to the number of magnetic flux quanta of the external field. The proof is based on the new notion of partial spectral flow, which generalizes the ordinary spectral flow already having well-known applications (such as the Kopnin forces in superconductors and superfluids) in condensed matter physics.
