Unusual Frequency of Quantum Oscillations in Strongly Particle-Hole Asymmetric Insulators

Abstract

Quantum oscillations, conventionally thought to be a metallic property, have recently been shown to arise in certain kinds of insulators, with properties very different from those in metals. All departures from the canonical behavior found so far arise only in the amplitude and the phase but not in the frequency. Here I show that such robustness in the behavior of the frequency is only valid for a particle-hole symmetric insulator; in a strongly particle-hole asymmetric insulator, de Haas-van Alphen oscillations (oscillations in magnetization and susceptibility) and Shubnikov-de Haas oscillations (oscillations in the density of states) exhibit different frequencies, with the frequency of the latter changing with temperature. I demonstrate these effects with numerical calculations on a lattice model, and provide a theory to account for the unusual behavior.

References in corpus (12)

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Cited by in corpus (11)

• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Fermi surface in the absence of a Fermi liquid in the Kondo insulator SmB${}_6$
• Quantum oscillations in strongly correlated topological Kondo insulators
• Quantum oscillations in interaction-driven insulators
• Cyclotron resonance inside the Mott gap: a fingerprint of emergent neutral fermions
• Quantum Oscillations in the Magnetisation and Density of States of Insulators
• Quantum oscillations in the zeroth Landau Level and the serpentine Landau fan
• Fluctuation-dominated quantum oscillations in excitonic insulators
• Anomalies in a slightly doped insulator with strong particle-hole asymmetry and narrow gap---the case for SmB${}_6$?
• Effect of many-body interaction on de Haas-van Alphen oscillations in insulators
• Quantum Oscillations in an Impurity-Band Anderson Insulator