R.F. size effect measurements in white tin

Matthey, M. M. M. P.; Vroomen, A.R. de

doi:10.1016/0038-1098(71)90089-5

Cited by 10 publications

(9 citation statements)

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“…Derivatives of area with respect to the Fermi surface have been using both con-strain both along the (loo) axes in the tetragOnal ventional de Haasvan Alphen (dHvA) oscillations crystal, and along the [0011 tetrad axis, have been (1)(2)(3) and quantum oscillations in ultrasonic found for eight orbits normal to [OOlI, five normal attenuation (4)(5)(6); Fermi surface calipers have been to [loo], and four normal to [ll01. In additi0n, strain measured using the radio frequency size effect derivatives have been determined for three branches (7)(8)(9)(10). There are sheets of the Fermi surface in of orbits having normals in the (01°) Plane and zones three to six; orbits on these are conventionally branches having in the (Ool) plane.…”

Section: Introductionmentioning

confidence: 99%

“…The strain dependence of a given cross-sectional area A of the Fermi surface can be determined under ordinary circumstances by measuring simultaneously the amplitude ciir of a Fourier component of the oscillations in the elastic modulus and the amplitude T' of the corresponding component in the torque oscillations, and taking the ratio of these amplitudes so that the factor Q, need not be evaluated; from [4] and [9] we obtain u harmonic number r to the torque oscillations arises from differentiating Qr and depends on the angular [lo] derivatives of g and m* (20). Can.…”

Section: Introductionmentioning

confidence: 99%

“…We now proceed to a detailed Alpher-Rubin Effect (Induction-Strain Coupling) Equation [9] has been derived under the assumption that the magnetic induction B and the strain E are independent. However, when the skin depth 6 is small compared to the sound wavelength h, induction-strain coupling occurs; in our experiments, 6/hlo-'.…”

Section: Introductionmentioning

confidence: 99%

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Experimental determination of the dilational strain dependence of the Fermi surface of white tin

Mak¹,

Perz²

1980

Can. J. Phys.

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The derivatives with respect to uniaxial elongational strain of the areas of representative orbits on all sheets of the Fermi surface of tetragonal white tin have been deduced from simultaneous measurements of the Landau quantum oscillations in elastic moduli and in torque. Strain derivatives have been determined for most known extremal cross-sectional areas normal to the [100], [110], and [001] symmetry axes; the anisotropy of the strain derivatives of several area branches, having normal directions in the (010) and (001) planes, has also been studied. Uniaxial and hydrostatic stress derivatives deduced from the strain derivatives have been found to be generally consistent with values obtained by other means.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental determination of the dilational strain dependence of the Fermi surface of white tin

Mak¹,

Perz²

1980

Can. J. Phys.

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“…They suggested that a value for A,, smaller than 0.78 would be more appropriate. We should point out that the experimental data (27) which Weisz developed his model has a systematic error of a few percent (28) and his pseudopotential form factors did not follow the general contour of Heine-Animalu's form factor curve. As the pseudopotential form factors of Devillers and de Vroomen (29) and of Mak and Perz (3) follow closely the curve of Heine and Animalu, the latter values seem more realistic than Weisz's.…”

Section: Band Massesmentioning

confidence: 97%

The determination of band masses and deformation potentials in white tin from an orthogonalized plane wave pseudopotential model

Mak¹

1980

Can. J. Phys.

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A method for calculating band masses. using an orthogonalized plane wave (OPW) formalism and taking into account the energy dependence of the pseudopotential form factors, is derived. This is applied to white tin; the results prove to be sensitive only to the energy dependence of the lowest form factor. Deformation potentials for various orbits have been calculated; they are found to be quite anisotropic over the Fermi surface.On etablit une methode pour le calcul des masses de bandes qui utilise un formalisme OPW et qui tlent compte de la variation des facteurs de forme du pseudo-potentiel en fonction de I'energie. Cette rnethode est appliquee a I'etain blanc; les resultats apparaissent sensibles uniquement a la variation du plus bas facteur de forme en fonction de l'energie. Des potentiels de deformation ont ete calcules pour differentes orbites, et on trouve qu'ils sont fortement anisotropes sur l'etendue de la surface de Fermi.[Traduit par le journal]Can. J. Phys.. 1040(1980)Introduction various calculations. He noted that the energy The dynamical properties of electron quasiparticle dependence of the one-electron potential Parameters excitations in a metal are affected by both electron-had been ignored in earlier calculations of band phonon and electron-electron interactions. The masses.the augmented plane wave (APW) quasi-particle cyclotron effective mass IH,,, which is method, he calculated values of m, for a number of determined from experiment can be expressed in orbits in tin taking into account the energy depenterms of a 'bare' band mass n z b , and renormalization dence of a,, the logarithmic derivatives of the I-deparameters A,, and A,,, referring to electron-phonon pendent radial function of the muffin-tin potential at and electron-electron interactions, respectively, as the muffin-tin radius; the are the Parameters describing the Fermi surface in the APW formalism. nzexp = In,o

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“…[19,31. Therefore his interpolated FS deviates appreciably from the new measurements of [3]. Stafleu and de Vroomen [4] based their calculations on their dHvA measurements, but they used a "few plane waves" scheme only, so their resulting calipers are not very accurate.…”

Section: D)mentioning

confidence: 98%

The Fermi Surface of White Tin from a RAPW Interpolation Compared with Experiment

Devillers¹,

Matthey²,

Vroomen³

1974

Physica Status Solidi (b)

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From extensive calculations it is shown, that the relativistic APW method, used as an interpolation scheme, can describe the Fermi surface of white tin consistent in detail with all available experimental data. At the same time this model of the Fermi surface of white tin is used to confirm and to complete the interpretation of radio frequency size effect measurements presented in a preceding paper.Durch ausfuhrliche Rechnungen wird gezeigt, d a l die relativistische APW-Methode als Interpolationsschema die Fermiflache von weilem Zinn beschreiben kann, und zwar auf eine bis ins Detail mit den vorhandenen experimentellen Daten konsistente Weise. Zugleich wird dieses Model1 der Fermiflache benutzt, um die Interpretation der RadiofrequenzSizeeffekt-Messungen einer vorangegangenen Arbeit zu bestitigen und zu vervollstandigen.

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R.F. size effect measurements in white tin

Cited by 10 publications

References 1 publication

Experimental determination of the dilational strain dependence of the Fermi surface of white tin

Experimental determination of the dilational strain dependence of the Fermi surface of white tin

The determination of band masses and deformation potentials in white tin from an orthogonalized plane wave pseudopotential model

The Fermi Surface of White Tin from a RAPW Interpolation Compared with Experiment

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