Magnetoacoustic Measurements of the Fermi Surface of Aluminum

Kamm, G. N.; Bohm, H. V.

doi:10.1103/physrev.131.111

Cited by 59 publications

(10 citation statements)

References 19 publications

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“…This can be better seen if one rewrites Equation (1 0) as 2c n = -4 + -e P, ( l ( i l H ) ) (4 has the value g for a spherical Fermi surface) [8]. which allows the Fermi momentum P, to be conveniently measured from the slope of a plot of the resonance number n versus l/(W) corresponding to the extremal points in the attenuation a.…”

Section: B Boltzmann's Equation In the Scattering Approximationmentioning

confidence: 98%

“…Equation (9) shows that because the force P acts orthogonally to the velocity r, no work is done on the electron and it moves with constant energy E~ at the Fermi surface. It has been shown before [8] that, upon integrating Equation (9), one obtains the Fermi momentum where n is the resonance number, having integral values for attenuation maxima and half-integral values for attenuation minima. The phase correction factor 4 allows for the fact that the attenuation maxima or minima may occur when the orbit encompasses more or less than an integral number of ultrasound wavelengths.…”

Section: B Boltzmann's Equation In the Scattering Approximationmentioning

confidence: 99%

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Fermi surfaces and electron–impurity interactions in simple metals

Foster

1969

Int J of Quantum Chemistry

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AbstractsA review is given of the current status of our work on electron transport properties and Fermi surfaces in simple metals. A simple classical model is proposed to extend existing theory to account for the effects of electron-impurity interactions on the behavior of magnetoacoustic absorption and the size and shape of the Fermi surface in the alkali metal potassium. The theoretical prediction is compared with measurements of the magnetoacoustic absorption and Fermi surface diameters in potassium crystals of different impurity levels. An attempt is made to explain, on the basis of the theory of electron-impurity interactions, the decrease by 9% in the Fermi diameter and the departure by 53% in the phase factors of the impure potassium crystal. The results are compared with observations on a zone refined potassium crystal which satisfies the nearly-free-electron model.On fait un a p e r p de l'ttat courant de nos travaux sur les proprittes de transport tlectronique et les surfaces de Fermi dans les mttaux simples. On propose un modkle simple classique pour gtntraliser la thtorie actuelle des effets des interactions des impuretes d'tlectrons sur le comportement de l'absorption magnttoacoustique et sur la grandeur et la forme de la surface de Fermi dans le potassium. Les prtdictions thtoriques sont compartes aux mesures de l'absorption magnttoacoustique et des diamktres de la surface de Fermi dans des cristaux de potassium avec des concentrations d'impuretts difftrentes. On essaie d'expliquer le dtcroissement de 9% du diamttre de Fermi et la deviation de 53% des facteurs de phase du cristal impur. Les rtsultats sont comparts i des observations sur un cristal qui satisfait au modde des electrons presque libres. Es wird ein uberblick des Zustands unserer Arbeit iiber

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Section: B Boltzmann's Equation In the Scattering Approximationmentioning

confidence: 98%

Section: B Boltzmann's Equation In the Scattering Approximationmentioning

confidence: 99%

Fermi surfaces and electron–impurity interactions in simple metals

Foster

1969

Int J of Quantum Chemistry

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“…6 It is tacitly assumed that the circulation K is conserved and not damped by frictional forces near the wall, as is the case for quantized vortex rings in He II. 7 There is a qualitative statement by W. Thompson, Nature 24, 47 (1881), about the motion of a vortex ring near a wall: "When a ring approaches such a surface it begins to expand, so that if we consider a finite portion of the surface the total pressure upon it due to the ring will have a finite value when the ring is close enough. In a closed cylinder any vortex ring approaching the plane end will expand out along the surface, losing in speed as it so does, until it reaches the cylindrical boundary, along which it will crawl back, on rebounding, to the other end of the cylinder."…”

Section: Fa-7/4)j (S3)mentioning

confidence: 99%

“…The most recent and detailed magnetoacoustic mapping of the Fermi surface of aluminum is given by the work of Kamm and Bohm. 7 Their paper gives a fairly complete bibliography of contributions to knowledge of the aluminum Fermi surface.…”

Section: Acknowledgmentsmentioning

confidence: 99%

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Behavior of Quantized Vortex Rings Near a Wall

Meyer

Soda

1965

Phys. Rev.

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It is shown that, neglecting frictional forces, a vortex ring does not approach a wall nearer than 0.1-0.5 of its radius. This effect can explain the buildup of space charges in front of electrodes observed in experiments with charge-carrying quantized vortex rings in He II. ed. There is a misprint on p. 240; J is missing in the multiplying factor of Eq. (1). 5 Herefwe take the hydrodynamical image, only. The effect of the electric image is negligible compared with the hydrodynamical image interaction.

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Magnetoacoustic Studies of the Fermi Surface of Aluminium

Fossheim

Olsen

1964

Physica Status Solidi (b)

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Magnetoacoustic measurements are made on very pure aluminium single crystals (R293 °K/R4.2 °K up to 26 500) in the frequency range 70 to 150 MHz. The directions of acoustic propagation are 〈100〉, 〈110〉, 〈111〉, 〈112〉, and 16° from 〈120〉 towards the nearest 〈100〉. In all cases a large number of oscillations are observed. The deduced Fermi surface dimensions for the second zone are in general agreement with Harrison's free‐electron model. The data obtained with the direction of propagation along the three principal crystallographic directions agree with earlier investigations by KAMM and BOHM, and BEZUGLYI et al. Third zone dimensions are obtained which are in agreement with Ashcroft's calculations. The conditions for magnetoacoustic oscillations are discussed. Large‐angle intersection between the plane of the electron orbit and the contour at the point of interaction with the Fermi surface seem to be a fundamental requirement for pronounced oscillations. With wave vector along 〈110〉 orbits are reported which are probably due to magnetic breakthrough at a field strength of 370 Gauss.

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Magnetoacoustic Measurements of the Fermi Surface of Aluminum

Cited by 59 publications

References 19 publications

Fermi surfaces and electron–impurity interactions in simple metals

Fermi surfaces and electron–impurity interactions in simple metals

Behavior of Quantized Vortex Rings Near a Wall

Magnetoacoustic Studies of the Fermi Surface of Aluminium

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