Density of states of relativistic and nonrelativistic two-dimensional electron gases in a uniform magnetic and Aharonov-Bohm fields
arXiv:1105.4588 · doi:10.1103/PhysRevB.84.125306
Abstract
We study the electronic properties of 2D electron gas (2DEG) with quadratic dispersion and with relativistic dispersion as in graphene in the inhomogeneous magnetic field consisting of the Aharonov-Bohm flux and a constant background field. The total and local density of states (LDOS) are obtained on the base of the analytic solutions of the Schrödinger and Dirac equations in the inhomogeneous magnetic field. It is shown that as it was in the situation with a pure Aharonov-Bohm flux, in the case of graphene there is an excess of LDOS near the vortex, while in 2DEG the LDOS is depleted. This results in excess of the induced by the vortex DOS in graphene and in its depletion in 2DEG.
20 pages, 7 figures; final version published in PRB
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- On the effective Lagrangian of CP^(N-1) models in the large N limit
- Graphene under the influence of Aharonov-Bohm flux and constant magnetic field
- Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
- Density of states and differential entropy in Dirac materials in crossed magnetic and in-plane electric fields