石墨烯中电子-电子相互作用的研究现状与展望
Electron-Electron Interactions in Graphene: Current Status and Perspectives
摘要：
本文综述了石墨烯中的电子-电子相互作用问题。从这些系统中长程相互作用的屏蔽出发，讨论了在弱耦合区存在Lorentz不变准粒子的Dirac液体，在强耦合区存在强关联电子态.分析了多体问题与库仑杂质问题的相似性和联系。本文还讨论了石墨烯中杂质和/或吸附原子的磁不稳定性和近藤效应的问题，并与普通金属中的多体效应的经典模型进行了类比。我们表明，洛伦兹不变性起着根本性的作用，并导致影响，跨越整个光谱，从紫外到红外。一个新兴的洛伦兹不变性的影响也讨论了在有限尺寸和边缘效应以及介观物理的背景下。我们还简要讨论了单层中强磁场的影响，并回顾了石墨烯双层中多体问题的一些主要方面。除了回顾石墨烯中多体问题的充分理解方面之外，我们还表明，无论是理论上还是实验上，都有大量有趣的问题仍然存在，石墨烯研究领域仍然令人兴奋和充满活力。
英文摘要：
We review the problem of electron-electron interactions in graphene. Starting from the screening of long range interactions in these systems, we discuss the existence of an emerging Dirac liquid of Lorentz invariant quasi-particles in the weak coupling regime, and strongly correlated electronic states in the strong coupling regime. We also analyze the analogy and connections between the many-body problem and the Coulomb impurity problem. The problem of the magnetic instability and Kondo effect of impurities and/or adatoms in graphene is also discussed in analogy with classical models of many-body effects in ordinary metals. We show that Lorentz invariance plays a fundamental role and leads to effects that span the whole spectrum, from the ultraviolet to the infrared. The effect of an emerging Lorentz invariance is also discussed in the context of finite size and edge effects as well as mesoscopic physics. We also briefly discuss the effects of strong magnetic fields in single layers and review some of the main aspects of the many-body problem in graphene bilayers. In addition to reviewing the fully understood aspects of the many-body problem in graphene, we show that a plethora of interesting issues remain open, both theoretically and experimentally, and that the field of graphene research is still exciting and vibrant.
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