Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Physical Review B |
| MU Faculty or unit | |
| Citation | |
| Web | http://arxiv.org/pdf/1401.6178v2.pdf |
| Doi | http://dx.doi.org/10.1103/PhysRevB.89.165308 |
| Field | Solid matter physics and magnetism |
| Keywords | SINGLE DIRAC CONE; TRILAYER GRAPHENE; RHOMBOHEDRAL GRAPHITE; TOPOLOGICAL-INSULATOR; BILAYER GRAPHENE; BAND STRUCTURE; BERRYS PHASE; GAP; FERMIONS; SURFACE |
| Description | We investigate the conductivity of charge carriers confined to a two-dimensional system with the nonparabolic dispersion k(N) with N being an arbitrary natural number. A delta-shaped scattering potential is assumed as the major source of disorder. We employ the exact solution of the Lippmann-Schwinger equation to derive an analytical Boltzmann conductivity formula valid for an arbitrary scattering potential strength. The range of applicability of our analytical results is assessed by a numerical study based on the finite size Kubo formula. We find that for any N > 1, the conductivity demonstrates a linear dependence on the carrier concentration in the limit of a strong scattering potential strength. This finding agrees with the conductivity measurements performed recently on chirally stacked multilayer graphene where the lowest two bands are nonparabolic and the adsorbed hydrocarbons might act as strong short-range scatterers. |
| Related projects: |