Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-05-23
Phys.Rev. B84 (2011) 125306
Physics
Condensed Matter
Strongly Correlated Electrons
20 pages, 7 figures; final version published in PRB
Scientific paper
10.1103/PhysRevB.84.125306
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 Schr\"{o}dinger 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.
Loktev Vadim M.
Sharapov Sergei G.
Slobodeniuk A. O.
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