Electrons in a Magnetic Field: Special Spin in de Haas-van Alphen effect

When the magnetic field is applied in a metal, the electrons behave like a harmonic oscillator. When the field is increased these harmonic oscillator type levels cross the Fermi energy at a particular point resulting into the discontinuities in the population of any particular level at that point. F...

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Bibliographic Details
Published in:Journal of physics. Conference series 2012-01, Vol.400 (3), p.32090-4
Main Author: Shrivastava, Keshav N
Format: Article
Language:English
Subjects:
De Haas-Van Alphen effect
Discontinuity
Electrons
Fermi surfaces
Harmonic oscillators
Magnetic fields
Magnetic moments
Magnetization
Oscillations
Physics
Quantum numbers
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Summary:When the magnetic field is applied in a metal, the electrons behave like a harmonic oscillator. When the field is increased these harmonic oscillator type levels cross the Fermi energy at a particular point resulting into the discontinuities in the population of any particular level at that point. For a large orbital magnetic moment, different from L = 0 and both signs of spin in the total magnetic momentum quantum number, j = l ± s, the discontinuities in the population of the electrons in a particular level become double valued resulting into doubling of oscillations in the magnetization. There is a double valued change in the energy of the electrons when they transfer from the harmonic oscillator type level to the Fermi level. The magnetization depends on the value of j = l ± s so that there is a double valued period in the oscillations. The de Haas-van Alphen effect is usually described for the L = 0 electrons. Hence, we see that the de Haas-van Alphen effect is considerably modified in going from L = 0 to j = l ± s, with both signs in the spin.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/400/3/032090