Phase of quantum oscillation in Weyl semimetals
G. P. Mikitik and Yu. V. Sharlai
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
Kharkiv 61103, Ukraine
Received January 31, 2022, published online April 25, 2022
We consider the semiclassical quantization condition for the energy of an electron in a magnetic field in the case when the electron orbit lies on a Fermi-surface pocket surrounding the Weyl point of a topological semimetal and analyze the constant γ appearing in this condition. It is shown that this constant has the universal value, γ = 0, independent on the tilt of the Weyl spectrum. Since the constant γ for an extremal cross section of the Fermi surface determines the phase of quantum oscillations, this result explains why measurements of the phase permit one to find Weyl points in crystals even though the extremal cross section of the pocket does not pass through this point, and the appropriate Berry phase of the orbit differs from π.
Key words: Weyl semimetal, quantum oscillations, phase of oscillations, semiclassical quantization.