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| The '''de Haas–van Alphen effect''', often abbreviated to '''dHvA''', is a [[Quantum mechanics|quantum mechanical]] effect in which the magnetic moment of a pure metal [[crystal]] [[oscillation|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 capacity|specific heat]], and [[Acoustics|sound]] [[attenuation]] and speed.<ref>
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| {{cite web
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| |author=Zhang Mingzhe
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| |title=Measuring FS using the de Haas-van Alphen effect
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| |url=http://phy.ntnu.edu.tw/~changmc/Teach/SS/SSG_note/grad_chap14.pdf
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| |work=Introduction to Solid State Physics
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| |publisher=[[National Taiwan Normal University]]
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| |accessdate=2010-02-11
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| }}</ref><ref>
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| {{cite journal
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| |author=T. Holstein
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| |year=1973
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| |title=de Haas-van Alphen Effect and the Specific Heat of an Electron Gas
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| |journal=[[Physical Review B]]
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| |volume=8 |pages=2649
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| |doi=10.1103/PhysRevB.8.2649
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| |bibcode = 1973PhRvB...8.2649H }}</ref><ref>
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| {{cite journal
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| |author=A.Suslov, O.Svitelskiy, E.Palm, T.Murphy, D.Shulyatev
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| |year=2006
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| |title=Pulse-echo technique for angular dependent magnetoacoustic studies
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| |journal=[[AIP Conference Proceedings]]
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| |volume=850 |pages=1661
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| }}</ref> It was discovered in 1930 by [[Wander Johannes de Haas]] and his student P. M. van Alphen.
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| The period, when plotted against <math>1/B</math>, is inversely proportional to the area <math>S</math> of the extremal orbit of the Fermi surface, in the direction of the applied field.<ref>
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| {{cite book
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| |author=C. Kittel
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| |year=2005
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| |title=Introduction to Solid-State Physics
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| |page= |edition=8th
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| |publisher=[[John Wiley & Sons|Wiley]]
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| |isbn=
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| }}</ref>
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| :<math>\Delta \left( \frac{1}{B} \right) = \frac{2 \pi e}{\hbar c S}</math> | |
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| where S is the area of the Fermi surface normal to the direction of B.
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| This effect is due to [[Landau quantization]] of [[electron]] [[energy]] in an applied magnetic field. A strong magnetic field — typically several [[Tesla (unit)|teslas]] — and a low temperature are required to cause a material to exhibit the dHvA effect.<ref>
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| {{cite web
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| |author=N. Harrison
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| |date=
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| |title=de Haas-van Alphen Effect
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| |url=http://www.lanl.gov/orgs/mpa/nhmfl/users/pages/deHaas.htm
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| |publisher=[[National High Magnetic Field Laboratory]] at the [[Los Alamos National Laboratory]]
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| |accessdate=2010-02-11
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| }}</ref>
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| 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.
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| ==References==
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| {{reflist}}
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| ==External links==
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| *{{cite web
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| |author=M. Suzuki, I.S. Suzuki
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| |date=26 April 2006
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| |url=http://www2.binghamton.edu/physics/docs/note-dhva.pdf
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| |title=Lecture note on Solid State Physics: de Haas-van Alphen effect
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| |publisher=[[State University of New York at Binghamton]]
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| |accessdate=2010-02-11
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| }}
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| {{DEFAULTSORT:De Haas-Van Alphen Effect}}
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| [[Category:Magnetism]]
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| {{quantum-stub}}
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Friends contact him Royal. Delaware is our beginning location. The preferred pastime for him and his children is to play badminton but he is having difficulties to discover time for it. Bookkeeping has been his day occupation for a while.
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