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Radio‐Frequency Size Effects in Cadmium in Magnetic Fields Inclined to the Sample Surface
Author(s) -
Naberezhnykh V. P.,
Maryakhin A. A.
Publication year - 1967
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19670200236
Subject(s) - spiral (railway) , physics , radius , plane (geometry) , anomaly (physics) , curvature , surface (topology) , radius of curvature , condensed matter physics , magnetic field , optics , geometry , mathematics , mean curvature , mathematical analysis , quantum mechanics , computer security , mean curvature flow , computer science
The r.f. size effect is investigated in cadmium, for different field slopes relative to the surface, using a frequency of 5 MHz and magnetic fields up to 10 4 Oe. When the angle between H and the basic plane of the “lens‐shaped” Fermi surface of the third band is less than 32°, some sections are found with the extremal value of \documentclass{article}\pagestyle{empty}\begin{document}$ \left({\frac{{\partial S}}{{\partial K_H }}} \right) $\end{document} , giving the size effect along spiral paths. For H ⊥ [0001] these sections involve K H = 0.41 Å −1 with \documentclass{article}\pagestyle{empty}\begin{document}$ \left({\frac{{\partial S}}{{\partial K_H }}} \right)_{ext} $\end{document} = (1.112 ± 0.03) Å − . By changing the field slope angles from zero to 90°, and rotating H in the basic plane, it is possible to observe the change in character of the impedance oscillations on the spiral paths. For slope angles between 7° and 17° the size effect lines at the spherical support point of the „lens” are also observed. This gives the radius of curvature as (1.32 ± 0.1) Å −1 .