Abstract
Massless Dirac electrons in graphene fill Landau levels with energies scaled as square roots of their numbers. Coulomb interaction between electrons leads to mixing of different Landau levels. The relative strength of this interaction depends only on dielectric susceptibility of surrounding medium and can be large in suspended graphene. We consider influence of Landau level mixing on the properties of magnetoexcitons and magnetoplasmons—elementary electron-hole excitations in graphene in quantizing magnetic field. We show that, at small enough background dielectric screening, the mixing leads to very essential change of magnetoexciton and magnetoplasmon dispersion laws in comparison with the lowest Landau level approximation.PACS: 73.22.Pr; 71.35.Ji; 73.43.Mp; 71.70.Gm.
Highlights
Two-dimensional systems in strong magnetic field are studied intensively since the discovery of integer and fractional quantum Hall effects [1,2,3]
For a long time, such systems were represented by gallium arsenide heterostructures with 2D electron motion within each subband [4]
We demonstrated that influence of remote Landau levels of magnetoexciton energies is strong, especially at large rs
Summary
Two-dimensional systems in strong magnetic field are studied intensively since the discovery of integer and fractional quantum Hall effects [1,2,3]. Since the Hamiltonian commutes with magnetic momentum P, the procedure of diagonalization can be performed independently at different values of P, resulting in dispersions E(nN1n) (P) of magnetoexcitons, affected by a mixing between N electron and N hole Landau levels. Energies of magnetoexcitons at rest, renormalized by electron interactions due to breakdown of the Kohn theorem, are the most suitable to be observed in optical experiments The results of such calculations of E(nN1n) (P = 0) as functions of N are shown in Figure 2 by cross points. Calculations in the lowest Landau level approximation, i.e., without taking into account the mixing, can give inaccurate results, especially in a region of intermediate momenta q ∼ l−H1
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