Transmission and tunneling probability in two-band metals: influence of magnetic breakdown on the Onsager phase of quantum oscillations

TL;DR

This paper investigates how magnetic breakdown affects quantum oscillations in two-band metals, revealing field-dependent phases and non-periodicity in 1/B, with new methods for calculating tunneling probabilities and phases.

Contribution

It introduces a novel analysis of magnetic breakdown effects on the Onsager phase in two-band metals, including new computational methods for tunneling amplitudes and phases.

Findings

Quantum oscillations are not periodic in 1/B due to magnetic breakdown.

Derived field-dependent Onsager phase for tunneling through the MB gap.

Developed exact and approximate methods for wave-function amplitude ratios.

Abstract

Tunneling amplitude through magnetic breakdown (MB) gap is considered for two bands Fermi surfaces illustrated in many organic metals. In particular, the S-matrix associated to the wave-function transmission through the MB gap for the relevant class of differential equations is the main object allowing the determination of tunneling probabilities and phases. The calculated transmission coefficients include a field-dependent Onsager phase. As a result, quantum oscillations are not periodic in 1/B for finite magnetic breakdown gap. Exact and approximate methods are proposed for computing ratio amplitudes of the wave-function in interacting two-band models.