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Two-dimensional Thomas-Fermi parabolic quantum dot in a weak magnetic field

Abstract:

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 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2000

Authors and Affiliations

  • R. Pino
    • 1
  1. 1.Centro de Física, Instituto Venezolano de Investigaciones Científicas, Apartado 21827, Caracas 1020-A, VenezuelaVE

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