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

Jean-Yves Fortin (1) , Alain Audouard (2)

1 IJL - Institut Jean Lamour
2 LNCMI-T - Laboratoire national des champs magnétiques intenses - Toulouse

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.

Mots clés: G factor; Quantum oscillations; Fourier analysis; Quantum tunneling; Fermions; Fermi surface; Organic semiconductors; Harmonic oscillator; Scattering matrix; Thermodynamic states and processes

Domaines: Mécanique statistique [cond-mat.stat-mech]; Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]; Electrons fortement corrélés [cond-mat.str-el]

Jean-Yves Fortin, Alain Audouard. Transmission and tunneling probability in two-band metals: Influence of magnetic breakdown on the Onsager phase of quantum oscillations. Low Temperature Physics, 2017, 43 (2), pp.173-185. ⟨10.1063/1.4976631⟩. ⟨hal-02264901⟩