The Hall Effect in Metals and Alloys

ISBN-13: 9781475704679 / Angielski / Miękka / 2012 / 400 str.

Colin Hurd

Opis

I hope this book will be useful to at least two groups of individuals: the nonspecialist reader with a general knowledge of solid-state science and seeking an introduction to the theory and practice of the Hall effect in metals, and the specialist seeking a contemporary review of the relevant literature. The literature has been surveyed thoroughly up to the middle of 1970, while the more accessible journals have been followed to late 1970. I have been selective in cases where there is a great volume of literature, particu- larly in the case of old or obscure measurements of low accuracy, but in all cases I have tried to present the reader with sufficient information to judge whether a particular reference matches his interest and is therefore worth tracing. I compiled the book from reading the original publications, but inevitably there will be errors arising in transcription or inadvertent omissions. I hope the reader finding these will be charitable enough to write to me. lt is a pleasure to acknowledge the numerous useful discussions I have had at various times with associates and colleagues, particularly Drs. Mme M. T. Beal-Monod, J. E. A. Alderson, R. D. Barnard, T. Farrell, and P. Monod. Their influence appears at various points in the text-although, of course, they must not be held responsible for anything I have written.

Spis treści

1 The Dynamics of Electrons in Metals: Low-Temperature Effects...- 1.1. Theoretical Conditions.- 1.2. Definition of the Hall Effect.- 1.3. Semiclassical Electronic Motion with Electric and Magnetic Fields.- 1.3.1. Compensation in Metals.- 1.4. Quantum Effects.- 1.4.1. Quantum Oscillations.- 1.4.2. Magnetic Breakdown.- 1.5. Size Effects.- 1.5.1. Classical Size Effects.- 1.5.2. Quantum Size Effects.- 2 The Hall Effect in Limiting Cases.- 2.1. The Hall Effect in the Classical High-Field Limit.- 2.1.1. The Hall Effect with No Open Orbits.- 2.1.2. The Hall Effect with Open Orbits.- 2.1.3. Chambers’ Expression for the Conductivity Tensor.- 2.2. The Hall Effect in the Low-Field Limit.- 2.2.1. The Case with Localized Magnetic Moments.- 2.2.2. The Low-Field Spin Component.- 2.3. The Hall Effect in the Two-Band Model.- 3 The Hall Effect in Nearly-Free-Electron Metals.- 3.1. Introduction.- 3.2. The Harrison Construction.- 3.3. The Examples of Al and In.- 3.3.1. Case of the High-Field Limit.- 3.3.2. Case of the Low-Field Limit.- 3.3.3. Case of the Intermediate-Field Region.- 4 The Hall Effect in Group 1B Metals.- 4.1. Introduction.- 4.2. The Hall Effect in the Pure Group 1B Metals.- 4.2.1. The Dependence of R on Magnetic Field.- 4.2.2. The Dependence of R on Temperature.- 4.3. The Hall Effect in Very Dilute Alloys.- 4.4. The Hall Effect in Alloys with B-Metal Solutes.- 5 The Hall Effect in Magnetic Metals.- 5.1. Phenomenological Aspects.- 5.2. Some Conduction-Electron Spin Interactions.- 5.3. Survey of the Theoretical Developments.- 5.3.1. Theories with Itinerant Magnetic Carriers.- 5.3.2. Theories with Localized Magnetic Carriers.- 6Experimental Techniques and the Hall Effect in Unusual Conditions.- 6.1. Introduction.- 6.2. Sources of Error.- 6.3. Methods with Electrical Contact to the Sample.- 6.3.1. dc Methods.- 6.3.2. ac Methods.- 6.4. Methods without Contacts.- 6.5. Measurements under Unusual Conditions.- 6.5.1. Measurements at High Pressures.- 6.5.2. Measurements on Liquid Metals.- 6.5.3. The Hall Effect in Superconductors.- 7 A Guide to the Literature for Metallic Elements and Binary Metallic Alloys.- Appendix A Derivation of Expression (2.59).- Appendix B Units and Conversion Factors.- Notes Added in Proof.- Author Index.