Abstract
Metals composed of weakly-coupled, stacked layers possess a Fermi surface that slightly varies in size along the stacking direction. This appears in de Haas-van Alphen (dHvA) oscillations of the magnetisation with magnetic field as two close frequencies, corresponding to the two extremal Fermi surface cross-sectional areas. We show that, for layered materials of sufficiently high mobility, Coulomb interactions can have a dramatic effect on the form of the dHvA oscillations: there is also generically an oscillation at the small difference of the two large frequencies. We determine the size and form of this effect, and show that it probes the short-range part of the Coulomb interactions within the layered material. We argue that this interaction effect may explain recent experimental observations of anomalous low-frequency dHvA oscillations in the ultrapure delafossites.
Highlights
Modern materials science has produced a wide variety of new sorts of solid state systems, such as those characterized by nontrivial topology or strong interactions
For layered materials of sufficiently high mobility, Coulomb interactions can have a dramatic effect on the form of the de Haas–van Alphen (dHvA) oscillations: There is generically an oscillation at the small difference of the two large frequencies
We determine the size and form of this effect, and show that it probes the short-range part of the Coulomb interactions within the layered material. We argue that this interaction effect may explain recent experimental observations of anomalous low-frequency dHvA oscillations in the ultrapure delafossites
Summary
Modern materials science has produced a wide variety of new sorts of solid state systems, such as those characterized by nontrivial topology or strong interactions. Quantum oscillations (QOs) of the magnetization as a function of (inverse) magnetic field [1], long interpreted in terms of the geometry of closed Fermi surfaces, and the standard LifshitzKosevich (LK) theory [2], have been necessarily reexplored following the discovery of Weyl and nodal semimetals [3,4,5,6,7,8], quasiperiodic systems [9,10], and the observation of QOs in insulators [11,12,13,14,15,16,17,18], systems all featuring unusual or absent Fermi surfaces Following in this vein, recent de Haas–van Alphen (dHvA) studies on delafossites, a class of layered materials featuring strong interactions and high in-plane mobility, display anomalous behavior—large, low-frequency QOs at the difference of the two natural high frequencies related to extremal Fermi-surface areas [19,20]. This introduces a nonlinearity, mediated by oscillations in the chemical potential [25,26], that can readily produce a difference-frequency oscillation in the conductivity (Shubnikov–de Haas effect) [27], or in the magnetization
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