The low-temperature de Haas-van Alphen effect

Abstract

An investigation has been carried out of the quantum oscillations of the magnetic susceptibility of an isotropic metal at constant pressure and at low temperatures in strong magnetic fields, when the amplitude of the density of electron states is of the order of the classical value. It is shown that quantum magnetostriction gives rise to a dependence of susceptibility on the ratio of the contributions to the moduli of elasticity due to electrons and to the lattice. The shape of susceptibility oscillations depends substantially on the Fermi-liquid interaction parameters. Conditions are discussed under which the thermodynamic stability at the oscillation peaks may be broken. The low-temperature oscillations of the derivative of volume with respect to the magnetic field are also considered. It is shown that at points of magnetic instability, jumps in volume are possible.

On the Theory of Quantum Oscillatons of the Elastic Moduli in Layered Conductors

“…Generalizing the corresponding result of Ref. [18], we can show that in the case of the axisymmetric FS, χ || is proportional to the oscillating function K ′ : Within the low temperature range the amplitude of the oscillations in ∆(0) might increase to such an extend that it reaches the values of the order of unity. Under these conditions the form of the de Haas-van Alphen oscillations is determined by the denominator in Eq.…”

“…G. Montambaux et al [11] came to a similar conclusion irrespective of the earlier results of Ref. [18].…”

“…It follows from the results of Ref. [18] as well as from our expression (31) that the magnetic susceptibility χ || of noninteracting 3D electron gas can exhibit a series of maxima of a finite magnitude when temperature goes to zero. G. Montambaux et al [11] came to a similar conclusion irrespective of the earlier results of Ref.…”

“…We remark here that possible singularities in the longitudinal magnetic susceptibility near the peaks of quantum oscillations of the renormalized DOS were first analyzed in Ref. [18] for an isotropic electron liquid (see also Ref. [19]).…”

“…The point of the present work is that the Fermi-liquid correlation among the quasiparticles can strongly affect their renormalized DOS. This was analyzed in detail for isotropic electron liquid [13,14,15,18]. Here, we generalize this analysis to cover a broad class of layered conductors whose FSs are supposed to be axially symmet-ric.…”