Two-dimensional Thomas-Fermi parabolic quantum dot in a weak magnetic field
Centro de Física, Instituto Venezolano de Investigaciones Científicas,
Apartado 21827, Caracas 1020-A, Venezuela
Revised: 26 July 1999
Published online: 15 February 2000
The Thomas-Fermi equation, in conjunction with the Poisson equation is solved exactly for the problem of the two-dimensional circular parabolic quantum dot in the presence of a weak magnetic field, in the framework of the local spin-density approximation. The total energy, chemical potential, differential capacitance, degree of polarization, and diamagnetic susceptibility were calculated. Asymptotic solutions were obtained for the limits of strong and weak confinement.
PACS: 85.30.Vw – Low-dimensional quantum devices (quantum dots, quantum wires etc.) / 71.10.Ca – Electron gas, Fermi gas
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000