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arXiv 1609.03604cond-mat.mes-hallcond-mat.othercond-mat.str-el
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电荷密度波中石墨烯的电子结构

Graphene Electronic Structure in Charge Density Waves

John M. Vail, Oscar J. Hernandez, Ming-Su Si, Zhoufei Wang

摘要:

我们引入了电荷密度波系统的电子能带结构可以模拟石墨烯的电子结构的想法。在这种情况下,一种与石墨烯完全不同的材料可能会被开发出来,以利用石墨烯卓越的电子特性。这种材料的理论,以及超导性,是基于材料的动态特性,而不是静态特性。电荷密度波系统有许多要求:(1)与石墨烯简单相关的特定波几何形状;(2)电子之间的自洽性,要求电子-电子相互作用的净库仑和声子介导部分具有吸引力。我们开发了一个模型,导致的有效电子质量$μ$,电子密度$ρ_0$,和净电子-电子相互作用的强度$\tildeν_{K}$的总能量的解析表达式。对于常数$μ>0$和$ρ_0$,我们研究了在$\tildeν_{K}$上设置的自洽性、稳定性和电子态计算中的近似的限制,并且发现它们是相互兼容的。这证明了我们模型的可行性。

英文摘要:

We introduce the idea that the electronic band structure of a charge density wave system may mimic the electronic structure of graphene. In that case a class of materials quite different from graphene might be opened up to exploit graphene's remarkable electronic properties. The theory of such materials, along with superconductivity, is based on the material's dynamical, rather than its static, properties. The charge density wave system turns out to have a number of requirements: (1) a specific wave geometry simply related to graphene; (2) a self-consistency among the electrons that requires the net Coulomb and phonon-mediated parts of the electron-electron interactions to be attractive. We develop a model that leads to an analytical expression for the total energy in terms of the effective electron mass $μ$, the electron density $ρ_0$, and the strength $\tildeν_{K}$ of the net electron-electron interaction. For constant $μ>0$ and $ρ_0$, we examine the limitations set upon $\tildeν_{K}$ by self-consistency, stability, and the approximation in the electronic state calculation, and find them to be mutually compatible. This demonstrates the viability of our model.

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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