Motion of free electron in the presence of magnetic field. F at field b2, energy of the electron system is higher than at b1 or b3. Part of thecondensed matter physics commons this dissertation is brought to you for free and open access by the iowa state university capstones, theses and dissertations at iowa. An oscillatory behavior of the magnetic moment of a pure metal crystal with changes in the applied magnetic field b, at very low temperatures.
In the 12 hours it took to collect the data, the total drift was on the order of only 10 pm hence the red curve largely. In simplest terms, the phenomenon is a i variation of the magnetic susceptibility which is periodic in reciprocal magnetic field. The extremal areas of crosssection of the fermi surface, as determined by field modulation techniques, were in agreement with the relativisticaugmentedplanewave model of keeton and loucks. The outer electron configuration in the free thorium atom is 6d 7s. Previously the effect has been found only in bismuth and zinc, and recently it has. The agreement between experimental results and fermi surface derived from the free electron model, assuming seven conduction electrons per primitive cell, is generally not too bad, suggesting that this model is. Reasons are discussed for relating the experimental results to the fermi surface of the high temperature, body centred cubic phase of the metal. The theory is developed under condition that the chemical potential is much greater than the cyclotron frequency, which is proved to be valid for using grand canonical ensemble in the systems of low. The effect of in homogenity of field has also been more thoroughly studied and the evidence now agrees reasonably with the assumption that the crystals are not quite perfect. A study of the fermi surfaces of antiferromagnetic. Semiclassical dynamics of electrons, bloch oscillation and quantization of orbits in a uniform magnetic field.
The method provides details of the extremal areas of a fermi surface. For the love of physics walter lewin may 16, 2011 duration. Low temperature physics lt9 proceedings of the ixth international conference on low temperature physics columbus, ohio, august 31 september 4, 1964. In this effect, the magnetization, normalized by the applied field, of a sample of bismuth was found to oscillate with h1. The blue curve reflects data taken upon increasing the applied field, while the red curve corresponds to the subsequent decreasing of the field. A treatment of this phenomenon at zero temperature was announced many years ago by childers and pincus designated hereafter as cp, and we traverse initially much the same ground, but from a slightly different analytic. The data, taken for the two major crystallographic planes in magnetic fields up to 36 kg and temperatures down to 0. Mcdonald2, david graf3, mingu kang1, junwei liu4, takehito suzuki1, riccardo comin1, liang fu1, joseph g. This dissertation is brought to you for free and open access by the graduate school at. The aps formatted version is the full text postscript ps or the pdf version. The areas of cross section of the main part of the fermi surface and of the contact have been determined. For a free electron the closed circular path in the kspace perpendicular to.
In simplest terms, the phenomenon is a i variation of the magnetic susceptibility which is. Experimental tests of band structure and a survey of the periodic table. Some provisional values of effective masses have also been obtained. Pdf under strict neutrality conditions the number n e 0 of electrons in a 2deg is constant at any.
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