Magnetophonon spectroscopy of Dirac fermion scattering by transverse and longitudinal acoustic phonons in graphene

Greenaway, M. T.; Krishna Kumar, R.; Kumaravadivel, P.; Geim, A. K.; Eaves, L.

Abstract

Recently observed magnetophonon resonances in the magnetoresistance of graphene are investigated using the Kubo formalism. This analysis provides a quantitative fit to the magnetophonon resonances over a wide range of carrier densities. It demonstrates the predominance of carrier scattering by low-energy transverse acoustic (TA) mode phonons: the magnetophonon resonance amplitude is significantly stronger for the TA modes than for the longitudinal acoustic (LA) modes. We demonstrate that the LA and TA phonon speeds and the electron-phonon coupling strengths determined from the magnetophonon resonance measurements also provide an excellent fit to the measured dependence of the resistivity at zero magnetic field over a temperature range of 4-150 K. A semiclassical description of magnetophonon resonance in graphene is shown to provide a simple physical explanation for the dependence of the magneto-oscillation period on carrier density. The correspondence between the quantum calculation and the semiclassical model is discussed.

Citation

Greenaway, M. T., Krishna Kumar, R., Kumaravadivel, P., Geim, A. K., & Eaves, L. (2019). Magnetophonon spectroscopy of Dirac fermion scattering by transverse and longitudinal acoustic phonons in graphene. Physical Review B, 100(15), Article 155120. https://doi.org/10.1103/physrevb.100.155120

• Journal Article Type: Article
• Acceptance Date: Oct 10, 2019
• Online Publication Date: Oct 10, 2019
• Publication Date: Oct 15, 2019
• Deposit Date: Oct 21, 2019
• Publicly Available Date: Nov 1, 2019
• Journal: Physical Review B
• Print ISSN: 2469-9950
• Electronic ISSN: 2469-9969
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 100
• Issue: 15
• Article Number: 155120
• DOI: https://doi.org/10.1103/physrevb.100.155120
• Public URL: https://nottingham-repository.worktribe.com/output/2891296
• Publisher URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.155120
• Contract Date: Oct 21, 2019