Посилання:Valentin Peschansky and puzzles of magnetotransport / A.O. Slobodeniuk, S.G. Sharapov, V.M. Loktev // Физика низких температур. — 2011. — Т. 37, № 11. — С. 1181–1189. — Бібліогр.: 18 назв. — англ.
Підтримка:We thank V.P. Gusynin for stimulating discussions. This work was supported by the SCOPES grant No. IZ73Z0_128026 of Swiss NSF, by the grant SIMTECH No. 246937 of the European FP7 program and by the Program of Fundamental Research of the Physics and Astronomy Division of the National Academy of Sciences of Ukraine. A.O.S. and S.G.S. were also supported by SFFR-RFBR grant “Application of string theory and field theory methods to nonlinear phenomena in low dimensional systems”.
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.