TY - JOUR

T1 - Doppler-shifted cyclotron resonance of helicon waves in single-crystal aluminum

AU - Stanford, John L.

AU - Stern, Edward A.

PY - 1966

Y1 - 1966

N2 - Results are presented of measurements of Doppler-shifted cyclotron resonance (DSCR) of helicon waves in single-crystal aluminum with the magnetic field and helicon propagation along the [100] and [110] directions. The Gaussian radius of curvature of the Fermi surface in the second zone is measured at the point where the surface normal is along [100]. The experimental value for the radius of curvature is 0.99±0.03 times the free-electron value, in agreement with the expected value. For [110], it is shown that DSCR absorption edges at an elliptic limiting point on an arm of the third-zone Fermi-surface "monster," and on finite orbits involving a large fraction of the electrons on the second-zone surface, are expected to occur almost simultaneously. The difficulties associated with interpretation of the data when finite-orbit absorption edges exist are discussed. It is shown that beyond an estimate of the [110] curvature, which is in surprisingly good agreement with the calculated value, a more precise interpretation of the [110] data cannot be justified. The merits of the helicon DSCR method for Fermi-surface studies are discussed, and it is concluded that in general useful information can be obtained only on very pure samples with ωcτ100, where ωc is the cyclotron frequency and τ the conduction-electron relaxation time.

AB - Results are presented of measurements of Doppler-shifted cyclotron resonance (DSCR) of helicon waves in single-crystal aluminum with the magnetic field and helicon propagation along the [100] and [110] directions. The Gaussian radius of curvature of the Fermi surface in the second zone is measured at the point where the surface normal is along [100]. The experimental value for the radius of curvature is 0.99±0.03 times the free-electron value, in agreement with the expected value. For [110], it is shown that DSCR absorption edges at an elliptic limiting point on an arm of the third-zone Fermi-surface "monster," and on finite orbits involving a large fraction of the electrons on the second-zone surface, are expected to occur almost simultaneously. The difficulties associated with interpretation of the data when finite-orbit absorption edges exist are discussed. It is shown that beyond an estimate of the [110] curvature, which is in surprisingly good agreement with the calculated value, a more precise interpretation of the [110] data cannot be justified. The merits of the helicon DSCR method for Fermi-surface studies are discussed, and it is concluded that in general useful information can be obtained only on very pure samples with ωcτ100, where ωc is the cyclotron frequency and τ the conduction-electron relaxation time.

UR - http://www.scopus.com/inward/record.url?scp=36049053728&partnerID=8YFLogxK

U2 - 10.1103/PhysRev.144.534

DO - 10.1103/PhysRev.144.534

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AN - SCOPUS:36049053728

SN - 0031-899X

VL - 144

SP - 534

EP - 544

JO - Physical Review

JF - Physical Review

IS - 2

ER -