De Haas–van Alphen effect
The de Haas–van Alphen effect, often abbreviated to dHvA, is a quantum mechanical effect in which the magnetic moment of a pure metal crystal oscillates as the intensity of an applied magnetic field B is increased. Other quantities also oscillate, such as the resistivity (Shubnikov–de Haas effect), specific heat, and sound attenuation and speed. It was discovered in 1930 by Wander Johannes de Haas and his student Pieter M. van Alphen.
The period, when plotted against , is inversely proportional to the area of the extremal orbit of the Fermi surface, in the direction of the applied field.
where S is the area of the Fermi surface normal to the direction of B.
This effect is due to Landau quantization of electron energy in an applied magnetic field. A strong magnetic field — typically several teslas — and a low temperature are required to cause a material to exhibit the dHvA effect.
In 1952, Lars Onsager explained the physics behind the effect, and, due to his interpretation, this effect can be used to image the Fermi surface of a metal, to measure the carrier density and more, which makes this a very powerful probing technique in condensed-matter physics.
- Zhang Mingzhe. "Measuring FS using the de Haas-van Alphen effect" (PDF). Introduction to Solid State Physics. National Taiwan Normal University. Retrieved 2010-02-11.
- Holstein, Theodore D.; Norton, Richard E.; Pincus, Philip (1973). "de Haas-van Alphen Effect and the Specific Heat of an Electron Gas". Physical Review B. 8: 2649. Bibcode:1973PhRvB...8.2649H. doi:10.1103/PhysRevB.8.2649.
- Suslov, Alexey; Svitelskiy, Oleksiy; Palm, Eric C.; Murphy, Timothy P.; Shulyatev, Dmitry A. (2006). "Pulse-echo technique for angular dependent magnetoacoustic studies". AIP Conference Proceedings. 850: 1661.
- de Haas, W.J.; van Alphen, P.M. (1930). "The dependence of the susceptibility of diamagnetic metals upon the field" (PDF). Proc.Acad.Sci.Amst. 33: 1106–1118.
- Kittel, Charles (2005). Introduction to Solid-State Physics (8th ed.). Wiley. ISBN 978-0-471-41526-8.
- Harrison, Neil. "de Haas-van Alphen Effect". National High Magnetic Field Laboratory at the Los Alamos National Laboratory. Retrieved 2010-02-11.
- Suzuki, Masatsugu; Suzuki, Itsuko S. (26 April 2006). "Lecture note on Solid State Physics: de Haas-van Alphen effect" (PDF). State University of New York at Binghamton. Retrieved 2010-02-11.
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