Low Temperature Physics: 37, 940 (2011); https://doi.org/10.1063/1.3672156 (7 pages)
Fizika Nizkikh Temperatur: Volume 37, Number 11 (November 2011), p. 1181-1189 ( to contents , go back )
Electronic density of states for two-dimensional system in uniform magnetic and Aharonov-Bohm fields
A.O. Slobodeniuk1, S.G. Sharapov1, and V.M. Loktev1,2
1Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine 14-b Metrologicheskaya Street, Kiev 03680, Ukraine
2National Technical University of Ukraine "KPI", 37 Peremogy Ave., Kiev 03056, Ukraine
Received April 13, 2011
We study two-dimensional electronic gas (2DEG) in the background of the Aharonov–Bohm and constant magnetic fields. The problem of ambiguity of the solutions of the Schrödinger equation is investigated by introducing a finite radius of the flux tube, which then set to zero. Wave functions and spectrum of the 2DEG Hamiltonian are used to construct an expression for the local density of states (LDOS). We obtain that LDOS has a depletion near the origin of the vortex and new peaks, which can't be explained by using Landau levels theory.
PACS: 71.10.Ca Electron gas, Fermi gas;
Key words: two-dimensional electronic gas, Aharonov–Bohm potential, density of states.