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Volumn 87, Issue 8, 2013, Pages

Theory of inter-Landau-level magnetoexcitons in bilayer graphene

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EID: 84874520151     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.085432     Document Type: Article
Times cited : (14)

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    • Sometimes the intra-Landau level excitons are called spin waves or pseudospin waves, depending on the quantum numbers that distinguish the filled and the empty levels. The inter-LL excitons that conserve all quantum numbers are called magnetoplasmons (Ref.) and those that do not are dubbed spin-flip, valley-flip, or pseudospin-flip excitations (Ref.). We do not use these terms; the class of magnetoexcitons includes all of these varieties.
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    • At q=0 we have attempted an extrapolation of the excitation energies as a function of the cutoff M. The energies show a decreasing tendency, but fitting a power function (Ref.) has proved to be impossible. We have chosen an ad hoc cutoff at M=7, with the understanding that small quantitative deviations are possible, especially at low energies. We have checked that using M=15 does not fundamentally change the spectra.
    • At q = 0 we have attempted an extrapolation of the excitation energies as a function of the cutoff M. The energies show a decreasing tendency, but fitting a power function (Ref.) has proved to be impossible. We have chosen an ad hoc cutoff at M = 7, with the understanding that small quantitative deviations are possible, especially at low energies. We have checked that using M = 15 does not fundamentally change the spectra.
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    • At certain values of the in-plane pseudospin anisotropy, which may arise due to electron-electron and electron-phonon interactions, two more phases are possible: a canted antiferromagnet and a partially layer polarized state (cf. Ref.). These recently proposed states are beyond the scope of our study.
    • At certain values of the in-plane pseudospin anisotropy, which may arise due to electron-electron and electron-phonon interactions, two more phases are possible: a canted antiferromagnet and a partially layer polarized state (cf. Ref.). These recently proposed states are beyond the scope of our study.


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