Comment on `Origin of combination frequencies in quantum magnetic oscillations of two-dimensional multiband metals' by T. Champel [Phys. Rev. B 65, 153403 (2002); cond-mat/0110154]

TL;DR

This paper defends an analytical theory of combination harmonics in low-dimensional multiband Fermi liquids against criticism, demonstrating its accuracy even at zero temperature and in clean samples through numerical validation.

Contribution

It clarifies the applicability of their analytical theory, showing it remains valid at low temperatures and in clean samples, countering previous criticisms.

Findings

Analytical theory matches numerical results at zero temperature.

Theory remains valid in clean, low-temperature systems.

Criticism of the theory's applicability is unfounded.

Abstract

We analyze the applicability of our analytical theory of combination harmonics in canonical low-dimensional multi-band Fermi liquids, which was recently criticized by Champel (Phys. Rev. B 65, 153403 (2002)). It is shown that his claim that our analytical theory does not apply at low temperatures and in clean samples, is incorrect. We demonstrate that the analytical theory of combination harmonics is in excellent agreement with the exact numerical results even at zero temperature and for clean systems, which are the most challenging for an analytical description.