Magnetic Oscillations in Metals by D. Shoenberg

By D. Shoenberg

It's only over eighty years in the past remarkable oscillatory box dependence used to be came upon within the magnetic behaviour of bismuth at low temperatures. This publication used to be first released in 1984 and offers a scientific account of the character of the oscillations, of the experimental options for his or her examine and in their reference to the digital constitution of the steel involved. even if the most emphasis is at the oscillations themselves and their many peculiarities, instead of at the conception of the digital constitution they demonstrate, enough examples are given intimately to demonstrate the type of info that has been got and the way this knowledge has the same opinion with theoretical prediction.

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Example text

It occurred to me that the couple might show up the dHvA oscillations much better than the Faraday force method that had been used before. The Faraday method requires the field to vary over the sample and this inevitably smoothes out the oscillations ('phase smearing'), particularly at low fields when the spread of field over the sample (proportional to H) becomes comparable to the field interval of the period of an oscillation (proportional to H2). The torque m ethod on the other hand requires a uniform field and so does not suffer from this phase smearing.

For a brief review of the various methods, including some developed in the 1960s, see Shoenberg (l 969b). t Pippard's derivation of a general result was stimulated by an earlier calculation of Sondheimer ( 1954) of the anomalous skin effect for an ellipsoidal FS. 15 Historical introduction experiments. However the relation between the geometry of the FS and the anomalous skin effect is so complicated that it is usually hardly possible to go uniquely from the experimental data to the FS. Rather it is the other way round, that once the FS has been determined, it is possible to calculate what the anomalous skin effect should be, thus providing a useful check on the determination.

Before going further it will be useful to illustrate the meaning of some of the above analysis in terms of the simplest concrete example, that of a free electron gas, for which the e(k) relation is of course explicit. This example will also serve to indicate the orders of magnitude of the relevant quantities. Fig. 3. Motion for a circular cylindrical surface of constant energy with axis at angle 8 to H and radius K. In k-space the motion is round the section AB normal to H which is an ellipse of semi-axes K, K sec 8; the arrows indicate the directions of the velocity vectors corresponding to A and B.

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