On a contribution to the Hall coefficient produced by resonant impurity scattering
- 6 August 1973
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 6 (15) , 2441-2445
- https://doi.org/10.1088/0022-3719/6/15/007
Abstract
It is shown that resonant impurity scattering of a free-electron gas can produce an anomalous Hall effect. The resonance temporarily captures an electron being scattering; if a frame of reference rotating with half the cyclotron frequency is used to represent the magnetic field the scattering pattern appears to be skewed round because of the delay in re-emission. This gives rise to a transverse momentum transfer in the scattering. The anomalous Hall effect depends strongly both in magnitude and sign on the phase shifts and their energy derivatives. A very rough calculation for iron dissolved in liquid germanium suggests that this effect may be of the correct order of magnitude to explain some experimental results, although the answer seems a little low.Keywords
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