The effect of electron-A(1g) phonon coupling in spin-orbit-coupled graphene


KANDEMİR B. S., AKAY D.

PHILOSOPHICAL MAGAZINE, vol.97, no.25, pp.2225-2235, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 97 Issue: 25
  • Publication Date: 2017
  • Doi Number: 10.1080/14786435.2017.1328137
  • Journal Name: PHILOSOPHICAL MAGAZINE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2225-2235
  • Keywords: Graphene, Rashba spin-orbit coupling, electron-phonon interaction
  • Ankara University Affiliated: Yes

Abstract

We investigate the effects of electron-A(1g) phonon and Rashba spin-orbit couplings on the electronic spectrum of pristine graphene charge carriers. We introduce a Frohlich-type Hamiltonian describing the electron-phonon interaction in spin-orbit-coupled graphene, and propose a diagonalisation procedure to solve this Hamiltonian based on the Lee-Low-Pines theory which includes two successive unitary transformations. By means of these transformations, our results show that, in spin-orbit-coupled graphene, electron-A1g phonon interaction lifts the degeneracy of two zero-gap branches and enhances the existing gap between other two branches. It is also found that the magnitude of the splitting in ungapped branches depends on the strength of spin-orbit interaction, and thus the emerging gap can be tuned by spin-orbit interaction.