Eur. Phys. J. B (2018) 91: 295
https://doi.org/10.1140/epjb/e2018-80663-2

Regular Article

Modified spin–orbit couplings in uniaxially strained graphene

¹ Department of Physics, Azarbaijan Shahid Madani University, 53714-161 Tabriz, Iran
² Condensed Matter Computational Research Lab, Azarbaijan Shahid Madani University, 53714-161 Tabriz, Iran
³ Computational Nanomaterials Research Group (CNRG), Azarbaijan Shahid Madani University, 53714-161 Tabriz, Iran

^a e-mail: Arash.phi@gmail.com

Received: 24 November 2017
Received in final form: 8 July 2018
Published online: 26 November 2018

Abstract

Intrinsic and Rashba spin–orbit interactions in strained graphene is studied within the tight-binding (TB) approach. Dependence of Slater–Koster (SK) parameters of graphene on strain are extracted by fitting the ab initio band structure to the TB results. A generalized low-energy effective Hamiltonian in the presence of spin–orbit couplings (SOCs) is proposed for strained graphene subjected to an external perpendicular electric field. Dependence of the modified Rashba strength and other parameters of effective Hamiltonian on the strain and electric field are calculated. In order to analyze the influence of the applied strain on the electronic properties of the graphene, one must take into account the lattice deformation, modifications of the hopping amplitudes and shift of the Dirac points. We find that using the strain it is possible to control the strength of Rashba and intrinsic SOCs as well as energy gap at the shifted Dirac points. Meanwhile, the strain slightly modifies the topology of low-energy dispersion around the Dirac points. We describe the SOCs induced energy splitting as a function of strain.