Electronic properties of graphene in a strong magnetic field
By M. Goerbig. 2010
701 citations recorded by the source corpus.
We review the basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field. One of its most salient features is the relativistic quantum Hall effect the observation of which has been the experimental breakthrough in identifying pseudo-relativistic massless charge carriers as the low-energy excitations in graphene. The effect may be understood in terms of Landau quantization for massless Dirac fermions, which is also the theoretical basis for the understanding of more involved phenomena due to electronic interactions. We present the role of electron-electron interactions both in the weak-coupling limit, where the electron-hole excitations are determined by collective modes, and in the strong-coupling regime of partially filled relativistic Landau levels. In the latter limit, exotic ferromagnetic phases and incompressible quantum liquids are expected to be at the origin of recently observed (fractional) quantum Hall states. Furthermore, we discuss briefly the electron-phonon coupling in a strong magnetic field. Although the present review has a dominating theoretical character, a close connection with available experimental observation is intended.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/ae4ec50f377706d2a66412b88d7699ee154b69a6
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Colloquium: Graphene spectroscopy (2014, background): “Other interesting properties of magnetoplasmons, such as splitting of the classical magnetoplasmon dispersion (3.7) into multiple branches have been predicted theoretically (Goerbig, 2011; R. Roldán et al., 2009) and their similarities and differences with the 2DEG case have been discussed.”
- 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.”
- Wave Packets in Honeycomb Structures and Two-Dimensional Dirac Equations (2012, background): “These conical singularities, also called Dirac points or diabolical points, are central to the remarkable electronic properties of graphene [19,27] and wave-propagation properties in dielectrics (linear and nonlinear) with honeycomb structure dielectric parameters [7,19,20,27–29].”