Abstract

The parity-preserving U(1) × U(1) massless QED₃ is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses, and charges of the quasiparticles (electron–polaron, hole–polaron, photon, and Néel quasiparticles), which emerge from the model are discussed. The four-fold broken degeneracy of the Landau levels, similar as the one experimentally observed in pristine graphene submitted to high applied external magnetic fields, is obtained. Furthermore, the model exhibits zero-energy Landau level indicating a kind of anomalous quantum Hall effect. The electron–polaron–electron–polaron scattering potentials in s- and p-wave states mediated by photon and Néel quasiparticles are computed and analyzed. Finally, the model foresees that two electron–polarons (s-wave state) belonging to inequivalent K and K′ points in the Brillouin zone might exhibit attractive interaction, while two electron–polarons (p-wave state) lying both either in K or in K′ points experience repulsive interaction.

Graphical abstract

中文翻译：

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原始石墨烯类量子电动力学中的电子-极化子-电子-极化子散射和朗道能级

摘要

提出了一种保持奇偶性的U（1）× U（1）无质量QED ₃作为原始石墨烯状平面量子电动力学模型。讨论了模型中出现的准粒子（电子-极化子，空穴-极化子，光子和Néel准粒子）的光谱含量，自由度，自旋，质量和电荷。获得了朗道能级的四倍断裂简并性，类似于在原始石墨烯中受到高施加的外部磁场的实验观察到的简并性。此外，该模型展现出零能朗道能级，表明一种异常的量子霍尔效应。s-和p中的电子-极化子-电子-极化子散射势计算和分析了由光子和奈尔准粒子介导的波态。最后，该模型预言，布里渊区中不等价的K和K'点的两个电子-极化子（s波态）可能表现出有吸引力的相互作用，而两个同时处于K或电子态的电子-极化子（p波态）在K'点经历排斥性互动。

图形概要