Nonlinear Landau fan diagram and aperiodic magnetic oscillations in three-dimensional systems
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910355462029312 |
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| author | Das, Sunit Chakraverty, Suvankar Agarwal, Amit |
| author_facet | Das, Sunit Chakraverty, Suvankar Agarwal, Amit |
| contents | Quantum oscillations offer a powerful probe for the geometry and topology of the Fermi surface in metals. Onsager's semiclassical quantization relation governs these periodic oscillations in 1/B, leading to a linear Landau fan diagram. However, higher-order magnetic susceptibility-induced corrections give rise to a generalized Onsager's relation, manifesting in experiments as a nonlinear Landau fan diagram and aperiodic quantum oscillations. Here, we explore the generalized Onsager's relation to three-dimensional (3D) systems to capture the B-induced corrections in the free energy and the Fermi surface. We unravel the manifestation of these corrections in the nonlinear Landau fan diagrams and aperiodic quantum oscillations by deriving the B-dependent oscillation frequency and the generalized Lifshitz-Kosevich equation, respectively. Our theory explains the necessary conditions to observe these fascinating effects and predicts the magnetic field dependence of the cyclotron mass. As a concrete example, we elucidate these effects in a 3D spin-orbit coupled system and extract zero-field magnetic response functions from analytically obtained Landau levels. Our comprehensive study deepens and advances our understanding of aperiodic quantum oscillations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear Landau fan diagram and aperiodic magnetic oscillations in three-dimensional systems Das, Sunit Chakraverty, Suvankar Agarwal, Amit Mesoscale and Nanoscale Physics Materials Science Quantum oscillations offer a powerful probe for the geometry and topology of the Fermi surface in metals. Onsager's semiclassical quantization relation governs these periodic oscillations in 1/B, leading to a linear Landau fan diagram. However, higher-order magnetic susceptibility-induced corrections give rise to a generalized Onsager's relation, manifesting in experiments as a nonlinear Landau fan diagram and aperiodic quantum oscillations. Here, we explore the generalized Onsager's relation to three-dimensional (3D) systems to capture the B-induced corrections in the free energy and the Fermi surface. We unravel the manifestation of these corrections in the nonlinear Landau fan diagrams and aperiodic quantum oscillations by deriving the B-dependent oscillation frequency and the generalized Lifshitz-Kosevich equation, respectively. Our theory explains the necessary conditions to observe these fascinating effects and predicts the magnetic field dependence of the cyclotron mass. As a concrete example, we elucidate these effects in a 3D spin-orbit coupled system and extract zero-field magnetic response functions from analytically obtained Landau levels. Our comprehensive study deepens and advances our understanding of aperiodic quantum oscillations. |
| title | Nonlinear Landau fan diagram and aperiodic magnetic oscillations in three-dimensional systems |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2403.03765 |