Conductance enhancement due to atomic potential fluctuations in graphene

Abstract

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a twodimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance and generalize the analytical result in the presence of the tunable atomic potential of a graphene strip. The absence of back scattering in graphene is shown to be due to Berry's phase which corresponds to a sign change of the wave function under a spin rotation of a particle. We use the transfer matrix approach and find that the electric conductance of doped graphene increases due to atomic potential fluctuations.

Magnetic Minibands and Electron–Electron Bound States in Ac-Driven Graphene with Space-Modulated Gap

“…It leads to such many-body phenomena as superconductivity and charge-density waves. Study of interactions of Dirac electrons with elementary excitations and tunable impurities had led to the prediction and observation of new effects in the filed of graphenelike materials [18,19,[34][35][36][37][38]. In this context we can point such phenomena as renormalization of Dirac spectrum due to interactions of electrons with lattice vibrations [39,40], effect of the electron-phonon coupling on the magnetooptical conductivity [41], a new structure of magnetophonon resonances determined by the electron-phonon hybrid states formed in the spectrum between the discrete energy levels (Landau levels) appearing in graphene in the strong magnetic field [42,43], effect of the electron-electron interaction on the graphene resistance and magnetoresistance [44,45], etc.…”