TY - JOUR
T1 - Quantization of persistent currents in quantum dot at strong magnetic fields
AU - Avishai, Y.
AU - Kohmoto, M.
N1 - Funding Information:
The researcho f one of us (Y.A.) is partially supportedb y a grant from the Japanese Ministry of Education and partially by a grant from the Israeli Ministry of Science and Development.
PY - 1993/11/15
Y1 - 1993/11/15
N2 - We investigate equilibrium electron currents and magnetization in an ideal two-dimensional disc of radius R placed in a strong magnetic field H. The most striking results emerge when the conditions for the existence of edge and bulk states are met, namely R{A figure is presented}aH = (h {combining short stroke overlay}c/eH) 1 2. When the Fermi energy is locked on a Landau level, the current as a function of electron density is quantized in units of ( e h)(h {combining short stroke overlay}ωc/2), where ωc is the cyclotron frequency. We argue that this effect survives against weak disorder. It is also shown that the persistent current has an approximately periodic dependence on 1/H.
AB - We investigate equilibrium electron currents and magnetization in an ideal two-dimensional disc of radius R placed in a strong magnetic field H. The most striking results emerge when the conditions for the existence of edge and bulk states are met, namely R{A figure is presented}aH = (h {combining short stroke overlay}c/eH) 1 2. When the Fermi energy is locked on a Landau level, the current as a function of electron density is quantized in units of ( e h)(h {combining short stroke overlay}ωc/2), where ωc is the cyclotron frequency. We argue that this effect survives against weak disorder. It is also shown that the persistent current has an approximately periodic dependence on 1/H.
UR - http://www.scopus.com/inward/record.url?scp=18744392371&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(93)90553-G
DO - 10.1016/0378-4371(93)90553-G
M3 - Article
AN - SCOPUS:18744392371
SN - 0378-4371
VL - 200
SP - 504
EP - 511
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -
