Electron-Electron Interactions in Graphene: Current Status and Perspectives

By V. Kotov, B. Uchoa, V. M. Pereira, Francisco Guinea, A. C. Castro Neto. 2010

839 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/bfed145db2ed43588360d855ffd85c9e3d9dd92c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Colloquium : Topological band theory (2016, background): “Properties and applications of graphene have been reviewed extensively in the literature, (Beenakker 2008; Castro Neto et al. 2009; Peres 2010; Goerbig 2011; Das Sarma et al. 2011; Kotov et al. 2012) and therefore, we make only a few remarks here.”
Colloquium: Graphene spectroscopy (2014, background): “A number of authoritative reviews ( Castro Neto et al., 2009; Peres, 2010; Das Sarma et al., 2011; Katsnelson, 2012; Kotov et al., 2012; McCann and Koshino, 2013) have been written to survey this body of literature but no single review can any longer cover the entire topic.”
Detection of sub-MeV dark matter with three-dimensional Dirac materials (2017, neutral): “2, yet perturbation theory still delivers the right predictions when compared to experiment [82].”
Electrically tunable transverse magnetic focusing in graphene (2013, background): “[30] Kotov, V.”
Novel effects of strains in graphene and other two dimensional materials (2015, background): “The effect of electron-electron interactions in graphene has been a central research area in the field since the early days [189].”