Determination of the Fermi Surface of Molybdenum Using the de Haas—van Alphen Effect
J.A. Hoekstra, John L. Stanford
Abstract
J.A. Hoekstra, John L. Stanford
Abstract
The de Haas---van Alphen effect in molybdenum has been studied in detail using large impulsive magnetic fields. Digital data recording, fast Fourier-frequency analysis by computer, and dynamic calibration of the entire apparatus have been used to obtain the de Haas---van Alphen frequencies to a high degree of accuracy. Several new frequency branches associated with the electron-jack piece of the Fermi surface are reported. Frequency branches exhibiting high angular accuracy and resolution are reported for all branches that have previously been detected by other de Haas---van Alphen investigators. A quantitative description of all sheets of the Fermi surface is presented, along with comparisons with other Fermi-surface radii obtained by use of the radio-frequency-size-effect (RFSE) technique. The Mueller inversion technique for obtaining Fermi-surface radii from the de Haas---van Alphen area data was used whenever possible. The de Haas---van Alphen results presented are consistent with an estimate of 2.5% of the $\ensuremath{\Gamma}H$ dimension for the size of the gap between the jack and the octahedral Fermi-surface pieces. Thus the question about the size of this gap as raised by discrepancies greater than the combined experimental errors existing in current RFSE data is resolved. The spin-orbit parameter is not found to be anomalously higher than that for tungsten.
OpenAlex reports 34 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The de Haas---van Alphen effect in molybdenum has been studied in detail using large impulsive magnetic fields. Digital data recording, fast Fourier-frequency analysis by computer, and dynamic calibration of the entire apparatus have been used to obtain the de Haas---van Alphen frequencies to a high degree of accuracy. Several new frequency branches associated with the electron-jack piece of the Fermi surface are reported. Frequency branches exhibiting high angular accuracy and resolution are reported for all branches that have previously been detected by other de Haas---van Alphen investigators. A quantitative description of all sheets of the Fermi surface is presented, along with comparisons with other Fermi-surface radii obtained by use of the radio-frequency-size-effect (RFSE) technique. The Mueller inversion technique for obtaining Fermi-surface radii from the de Haas---van Alphen area data was used whenever possible. The de Haas---van Alphen results presented are consistent with an estimate of 2.5% of the $\ensuremath{\Gamma}H$ dimension for the size of the gap between the jack and the octahedral Fermi-surface pieces. Thus the question about the size of this gap as raised by discrepancies greater than the combined experimental errors existing in current RFSE data is resolved. The spin-orbit parameter is not found to be anomalously higher than that for tungsten.
Key concepts: De Haas–van Alphen effect, Fermi surface, Condensed matter physics, Physics, Shubnikov–de Haas effect, Quantum oscillations, Fermi level, Electron