论文标题
在BI/单层石墨烯研究中，具有线性分散自能量和其他新型特征的二维极性子，以及极性底物的半迪拉克半米。
Two Dimensional Polarons with Linearly Dispersing Self Energy and Other Novel Features in the Study of Bi/Single Layer Graphene, and Semi-Dirac Semi-metals on Polar Substrates
论文作者
论文摘要
我们考虑了三种不同的半金属：单一和双层石墨烯和半迪拉克驱动的二极管动力学，长波长主导的电子 - phonon相互作用，以及诸如SIC或SIO_2之类的极性基板上生长。 Feynman和其他人对普通极性晶体的研究已经研究了极化子的问题。但是，在上述具有非量表有效的哈密顿量的上述2d半金属的背景下，对极性形成的研究是新颖的。当SL和BL石墨烯在极性底物上生长时，它们的电子可以与这些极性底物的表面声子相互作用，正如Fratini等人所讨论的那样。尽管它们本身是非极性的，但这引起了极化子形成的可能性。 SL和BL石墨烯（如SL和BL石墨烯）等半迪拉克材料已被认为是在极性底物上生长的，并且已经研究了所得的极性动力学。正如Pardo和Pickett所发现的那样，（Tio_2）_5/（VO_2）_3异质结构的接口观察到半迪拉克分散体，是非极性的。出于本文的目的，与非极性材料（如SL和BL石墨烯）相同的基础，这证明了半迪拉克的处理合理。针对小电子巨型素的BLECHENE分析计算的电子自能量或极性能量，与电子动量形成线性变化。尽管在没有电子phonon相互作用的情况下，在电子带结构的抛物线结构中，BL石墨烯与普通极性晶体之间的相似性，但BL石墨烯极性层子的线性能量摩孔分散剂与普通极性晶体中极性产生的偏极分散剂的形成鲜明对比。除了偏极能量外，已经计算出上述材料的衰减速率（在没有极性形成的情况下）。
We consider the polaron dynamics driven by Frohlich type, long wavelength dominated electron-phonon interaction, for three different semi-metals: single and bilayer graphene, and semi-Dirac, all grown on polar substrates such as, SiC or SiO_2. The problem of polaron has been studied by Feynman and others for ordinary polar crystals. But the study of polaron formation in the context of the above-mentioned 2D semi-metals having non-scalar effective Hamiltonians is novel. When SL and BL graphene are grown on polar substrates, their electrons can interact with the surface phonons of those polar substrates, as has been discussed by Fratini et al. That gives rise to the possibility of polaron formation in the context of SL and BL graphene, although they themselves are non-polar. Semi-Dirac material, like SL and BL graphene, has been considered to be grown on a polar substrate and the resulting polaron-dynamics has been investigated. As was discovered by Pardo and Pickett, the interfaces of (TiO_2)_5/(VO_2)_3 heterostructure, in which semi-Dirac dispersion was observed, are non-polar. This justifies the treatment of semi-Dirac, for the purpose of this paper, in the same footing as non-polar materials like SL and BL graphene. The electron self energy, or polaron energy, calculated analytically for BL graphene for small electron-momentum, is shown to vary linearly with the electron momentum. Despite the similarity between BL graphene and ordinary polar crystals in the parabolic nature of the electronic band-structure in the absence of electron-phonon interaction, the linear energy-momentum dispersion of BL graphene polarons stands in stark contrast to the quadratic energy-momentum dispersion of the polarons produced in ordinary polar crystals. In addition to the polaron energy, the decay rate(in the absence of polaron formation), has been calculated for the above-mentioned materials.
