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

KANDEMİR B. S., AKAY D.

PHILOSOPHICAL MAGAZINE, cilt.97, sa.25, ss.2225-2235, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 97 Sayı: 25
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/14786435.2017.1328137
  • Dergi Adı: PHILOSOPHICAL MAGAZINE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2225-2235
  • Anahtar Kelimeler: Graphene, Rashba spin-orbit coupling, electron-phonon interaction
  • Ankara Üniversitesi Adresli: Evet

Özet

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.