Book contents
- Frontmatter
- Contents
- Preface
- List of symbols and abbreviations
- 1 Historical introduction
- 2 Theory
- 3 Observation of the de Haas–van Alphen effect
- 4 Other oscillatory effects
- 5 Fermi surfaces and cyclotron masses
- 6 Magnetic interaction
- 7 Magnetic breakdown
- 8 The Dingle temperature
- 9 Phase and spin-splitting
- Appendices
- Bibliography and author index
- Notes added in proof
- Subject index
8 - The Dingle temperature
Published online by Cambridge University Press: 07 October 2011
- Frontmatter
- Contents
- Preface
- List of symbols and abbreviations
- 1 Historical introduction
- 2 Theory
- 3 Observation of the de Haas–van Alphen effect
- 4 Other oscillatory effects
- 5 Fermi surfaces and cyclotron masses
- 6 Magnetic interaction
- 7 Magnetic breakdown
- 8 The Dingle temperature
- 9 Phase and spin-splitting
- Appendices
- Bibliography and author index
- Notes added in proof
- Subject index
Summary
Introduction
As outlined in the historical introduction (chapter 1), a slight but puzzling discrepancy between the early experimental results on the de Haas–van Alphen oscillations in Bi (Shoenberg 1939) and Landau's theoretical formula was that the observed field and temperature dependences of the amplitude could not be consistently reconciled with the formula. To a fair approximation it was as if the temperature needed to fit the formula was higher than the actual temperature. An explanation of the discrepancy was suggested by Dingle (1952b) who showed (as discussed in §2.3.7.2) that if electron scattering is taken into account, the Landau levels are broadened and this leads to a reduction of amplitude very nearly the same as would be caused by a rise of temperature from the true temperature T to T + x. This extra temperature, x, which is needed to reconcile theory and experiment, has come to be known as the Dingle temperature and we shall refer to the amplitude reduction factor exp(- 2π2kx/βH) as the Dingle factor. Dingle's suggestion also explained an earlier puzzling observation, which was that addition of any impurity to Bi always reduced the oscillation amplitude (Shoenberg and Uddin 1936); this would be expected in view of the increased probability of electron scattering.
For a good many years Dingle temperatures were recorded somewhat casually in studies devoted mainly to FS determinations from frequency measurements, but no systematic studies were attempted and there was little attempt to interpret such results as there were.
- Type
- Chapter
- Information
- Magnetic Oscillations in Metals , pp. 369 - 424Publisher: Cambridge University PressPrint publication year: 1984
- 1
- Cited by