Density of states of relativistic and nonrelativistic two-dimensional electron gases in a uniform magnetic and Aharonov-Bohm fields

Article

关键词: SELF-ADJOINTNESS;    GRAPHENE;    FRACTIONIZATION;    CONDUCTIVITY;    SCATTERING;    PHASE;   

DOI  :  10.1103/PhysRevB.84.125306

来源: SCIE

【 摘 要 】

We study the electronic properties of two-dimensional 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 Schrodinger 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.

【 授权许可】

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