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

R. Pino

doi:10.1007/s100510050091

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

R. Pino

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English (US)
Pages (from-to)	723-730
Number of pages	8
Journal	European Physical Journal B
Volume	13
Issue number	4
DOIs	https://doi.org/10.1007/s100510050091
State	Published - Feb 2 2000

Keywords

71.10.Ca electron gas, fermi gas
85.30.Vw low-dimensional quantum devices (quantum dots, quantum wires etc.)

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1007/s100510050091

Cite this

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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.",

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N2 - 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.

AB - 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.

KW - 71.10.Ca electron gas, fermi gas

KW - 85.30.Vw low-dimensional quantum devices (quantum dots, quantum wires etc.)

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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