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.[1][2][3] 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.[4]
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.[5]
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.
References
- ↑ 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.
- ↑ 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.
External links
- 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.