De Haas‐Van Alphen Effect in Nearly Magnetic Transition Metals

Abstract

The oscillatory part of the thermodynamic potential and magnetization are calculated for a paramagnetic system that is near to a magnetic instability. The dominant excitations of such an exchange enhanced Fermi liquid are persistent spin fluctuations. The electrons are scattered by processes in which the spin fluctuations are emitted and absorbed. The electron spin fluctuation interaction results in a many-body resonance of the electronic density of states at the Fermi level. It is shown that the spin fluctuations manifest themselves in the de Haas-van Alphen oscillations. The amplitude of the oscillations is reduced, the reduction is dependent on the enhancement of the linear T term in the electronic specific heat. The results are applied to the experiments on CeSn, and on Pd.Fur ein paramagnetisches System in der Niihe einer magnetischen Instabilitat wird der oszillierende Anteil des thermodynamischen Potentials und der Magnetisierung berechnet. Die relevanten Anregungen sind durch Spinfluktuationen gegeben. Die Streuprozesse der Elektronen sind die Emission und die Absorption von Spinfluktuationen. Diese Spinfluktuationen resultieren in einer Amplitudenreduktion der de Haas-van Alphen-Oseillationen. Diese Amplitudenreduktion ist eine Funktion der Verstarkung des beziiglich der Temperatur linearen Teils der elektronischen spezifischen Wlrme. Die Resultate werden mit Experimenten an CeSn, und Pd verglichen.

Critical examination of quantum oscillations in SmB6

“…The above exponential factor is similar to the Dingle factor incorporated into the standard Lifshitz-Kosevich formulation of dHvA oscillations. The Dingle factor represents the disruption of Fermi-surface orbits caused by scattering off impurities [25] or off collective electronic fluctuations [26]. However, it should be stressed that the above exponential factor does not represent scattering by spatial or temporal fluctuations (collisions) but, instead, is due to the static periodic crystalline potential.…”

Phase diagrams and Fermi surface properties ofCePb3

“…Second, the cyclotron effective masses, which are known to be renormalized by electron-phonon interaction and electron-electron interaction, are obtained from the temperature dependence of dHvA oscillation amplitude. [10][11][12][13][14] Where F * is the quasiparticle velocity at the Fermi energy E F , the cyclotron mass m c * is the integral of 1/ F * on the cyclotron orbit. If we can estimate the average velocity and integrate over the whole Fermi surface, S F ͗1/ F * ͘ should give ␥, which is determined from the electronic specific heat, and is enhanced by many-body effects.…”

Thermodynamic constraints on the amplitude of quantum oscillations

“…First, we note that the existing theoretical discussions of the amplitude of quantum oscillations in correlated metals all lead to finite entropy at zero temperature, dA(T )/dT | T →0 = 0 [20][21][22][23][24][25][26][27][28], violating Nernst's theorem. In the remainder of this note we attempt to identify the source of the problem and point to a way to resolve it.…”

“…The standard starting point for the existing theoretical analysis of quantum oscillations in a strongly interacting electron liquid [20][21][22][23][24][25][26][27] is the Luttinger's functional representation for the thermodynamic potential [13,29],…”