Theory of Difference Frequency Quantum Oscillations

Abstract

Quantum oscillations (QO) describe the periodic variation of physical observables as a function of inverse magnetic field in metals. The Onsager relation connects the basic QO frequencies with the extremal areas of closed Fermi surface pockets, and the theory of magnetic breakdown explains the observation of sums of QO frequencies at high magnetic fields. Here we develop a quantitative theory of difference frequency QOs in two- and three-dimensional metals with multiple Fermi pockets with parabolic or linearly dispersing excitations. We show that a non-linear interband coupling, e.g. in the form of interband impurity scattering, can give rise to otherwise forbidden QO frequencies which can persist to much higher temperatures compared to the basis frequencies. We discuss the experimental implications of our findings for various material candidates, for example multi-fold fermion systems, and the relation to magneto intersubband oscillations known for coupled two-dimensional electron gases.

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Cited by in corpus (11)

• Quantum Oscillations of the Quasiparticle Lifetime in a Metal
• Exploring d-Wave Magnetism in Cuprates from Oxygen Moments
• Fermi surface of the chiral topological semimetal CoSi
• Interplay of Landau quantization and interminivalley scatterings in a weakly coupled moiré superlattice
• Interband scattering- and nematicity-induced quantum oscillation frequency in FeSe
• Band Curvature Effects on Quantum Transport of Spin-1 Chiral Fermion Systems
• Slow magnetic quantum oscillations in the c-axis magnetoresistance of UTe${}_2$
• Comparative study of magnetic quantum oscillations in Hall and transverse magnetoresistance
• Anomalous quantum oscillations from boson-mediated interband scattering
• Slow Oscillations of the Transverse Magnetoresistance in HoTe3
• Dynamical magnetic breakdown and quantum oscillations from hot spot scattering