Related Experiment Video
Updated: Mar 27, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Field-dependent effective mass explains amplitude and phase of quantum oscillations in YbB12
1Accelero Systems Pty. Ltd, Queensland, Australia.
Abstract:
Recent high-field measurements of the Kondo insulator YbB12have revealed quantum oscillations and thermodynamic signatures that are not captured by Landau quantization with a field-independent effective mass. We show that these features follow from a field-dependent cyclotron massm*(B) entering through a Hermitian von Roos-type kinetic-energy operator. The resulting gradient terms generate a (B)-dependent Onsager phase shiftδφ(B)∝ ∂Blnm*(B). This yields oscillations that persist deep in the hybridization gap and preserve the standard Lifshitz-Kosevich temperature damping. Using a single experimentally constrainedm*(B), the model reproduces both the oscillation amplitude and the 39-41 T doublet in YbB12without invoking neutral Fermi surfaces or other exotic quasiparticles.
Related Concept Videos
Oscillations about an Equilibrium Position
Frequency of Spring-Mass System
Consider a block on a spring on a frictionless surface. There...
Damped Oscillations
Although friction and other non-conservative...
Equations of Wave Motion
Forced Oscillations
The de Broglie Wavelength

