Low Temperature Physics: 37, 940 (2011); https://doi.org/10.1063/1.3672156 (7 pages)
Физика Низких Температур: Том 37, Выпуск 11 (Ноябрь 2011), c. 1181-1189    ( к оглавлению , назад )

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
E-mail: aslobodeniuk@gmail.com

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;
PACS: 73.22.Dj Single particle states;
PACS: 76.40.+b Diamagnetic and cyclotron resonances.

Ключевые слова: two-dimensional electronic gas, Aharonov–Bohm potential, density of states.