Diamagnetic phase transition is shown to be associated with the instability of the three-dimensional electron gas against a temperature dependent magnon soft mode whose frequency vanishes at the phase transition point. Temperature and sample size softening of the magnon mode of an orbital nature is considered at quantizing magnetic fields under conditions of the non-linear de Haas-van Alphen effect in bulk metals and confined metallic samples.
Bibliographical noteFunding Information:
The authors are grateful to the Forschungszentrum Jülich, to K. Urban and B. Grushko, for their hospitality and to I.D. Vagner and P. Wyder for their interest in this work. We are especially indebted to B. Grushko for valuable discussions. We acknowledge G. Solt for providing us with reprints of his papers. One of us (A. G.) is grateful to the Center for Computational Mathematics and Scientific Computation for support.
- D. Condon domains
- D. Electron gas at quantizing magnetic fields
- D. de Haas-van Alphen effect