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Electronic properties of graphene in a strong magnetic field
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
A universal Hamiltonian for motion and merging of Dirac points in a two-dimensional crystal
AbstractWe propose a simple Hamiltonian to describe the motion and the merging of Dirac points in the electronic spectrum of two-dimensional electrons. This merging is a topological transition which
Quantum Hall Effects
These lecture notes yield an introduction to quantum Hall effects both for non-relativistic electrons in conventional 2D electron gases (such as in semiconductor heterostructures) and relativistic
Tilted anisotropic Dirac cones in quinoid-type graphene and α-(BEDT-TTF) 2 I 3
We investigate a generalized two-dimensional Weyl Hamiltonian, which may describe the low-energy properties of mechanically deformed graphene and of the organic compound
Magneto-Optical Signature of Massless Kane Electrons in Cd_{3}As_{2}.
The observed response clearly indicates the presence of 3D massless charge carriers and implies that the specific cyclotron resonance absorption in the quantum limit implies that the authors are probing massless Kane electrons rather than symmetry-protected 3D Dirac particles.
Topologically protected zero modes in twisted bilayer graphene
We show that a twisted graphene bilayer can reveal unusual topological properties at low energies, as a consequence of a Dirac-point splitting. These features rely on a symmetry analysis of the
Collective modes of doped graphene and a standard two-dimensional electron gas in a strong magnetic field: Linear magnetoplasmons versus magnetoexcitons
A doped graphene layer in the integer quantum-Hall regime reveals a highly unusual particle-hole excitation spectrum, which is calculated from the dynamical polarizability in the random-phase
High-energy limit of massless Dirac fermions in multilayer graphene using magneto-optical transmission spectroscopy.
Polarization-resolved measurements of multilayer graphene in high magnetic fields show no observable electron-hole asymmetry, in good agreement with the theoretical model, which includes trigonal warping of the Fermi surface and higher-order band corrections.
The magnetic field particle–hole excitation spectrum in doped graphene and in a standard two-dimensional electron gas
The particle–hole excitation spectrum for doped graphene is calculated from the dynamical polarizability. We study the zero and finite magnetic field cases and compare them to the standard