HW-10 - 1 Theory of Solids HW-10 Solution By Qifeng Shan...

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Unformatted text preview: 1 Theory of Solids HW-10 Solution By Qifeng Shan Ashcroft and Mermins book 14-3 If there is any nonuniformity of the magnetic field over the sample of metal used in a de Haas-van Alphen experiment, then the structure in g ( ) will reflect this variation. Different regions will have maxima in g ( ) at different field strengths, and the susceptibility, which sums contributions from all regions, may lose its oscillatory structure. To avoid this, any spatial variation H in the field must lead to a variation v that is small compared with v +1 v for the extremal orbits. Using the fact that A ( , k z ) / H from (14.13) for an extremal orbit. Deduce from this that to preserve the oscillatory structure the field inhomogeneity must satisfy A A H H , (14.25) where A is given in (14.12). Solution : From Eq. (14.13), we have A v k k A z z v , (1) And from (14,12), A ....
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This note was uploaded on 10/04/2011 for the course PHYS 4720 taught by Professor Shan during the Fall '09 term at Rensselaer Polytechnic Institute.

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HW-10 - 1 Theory of Solids HW-10 Solution By Qifeng Shan...

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