Effect of non-Fermi liquid behavior on the temperature dependence of the amplitude of de Haas-van Alphen oscillations

Abstract

We calculate the amplitudes of de Haas-van Alphen oscillations for a system of heavy fermions close to a quantum critical point (QCP). A nested Fermi surface, which consists of an electron and a hole pocket, together with the remaining interaction between the carriers after the heavy particles are formed, leads to itinerant antiferromagnetism. The order can be gradually suppressed by increasing the mismatch between the Fermi momenta, and a quantum critical point is obtained as ${T}_{N}\ensuremath{\rightarrow}0$, giving rise to a heavy-fermion non-Fermi liquid behavior in the specific heat, quasiparticle linewidth, and resistivity. The Lifshitz--Kosevich expression for the de Haas-van Alphen oscillations is modified by the quasiparticle self-energy. The amplitudes are considerably reduced by the interactions. The magnetic field and temperature dependence of the amplitudes shows that the effects of the QCP extend over a large $T$ interval.