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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.06019 |
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| _version_ | 1866908524128239616 |
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| author | Pongsangangan, Kitinan |
| author_facet | Pongsangangan, Kitinan |
| contents | The purpose of this paper is to formulate a kinetic theory describing transport properties of electrons in a uniform magnetic field of arbitrary magnitude. Exposing an electronic system to a constant magnetic field quenches its energy bands into a series of discrete energy levels, known as Landau levels. The Landau-level states, exact solutions of the Schrödinger equation in a constant background magnetic field, are natural and suitable basis to use, especially, for the investigation of strong-magnetic-field phenomena. Starting from the Keldysh formalism, we derive the quantum kinetic equation from the Landau-level basis. As an illustration, we apply the kinetic equation to calculate the electrical conductivity of a two-dimensional electron gas exposed to a perpendicular magnetic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06019 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kinetic equation from Landau level basis: Beyond relaxation-time approximation Pongsangangan, Kitinan Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Theory The purpose of this paper is to formulate a kinetic theory describing transport properties of electrons in a uniform magnetic field of arbitrary magnitude. Exposing an electronic system to a constant magnetic field quenches its energy bands into a series of discrete energy levels, known as Landau levels. The Landau-level states, exact solutions of the Schrödinger equation in a constant background magnetic field, are natural and suitable basis to use, especially, for the investigation of strong-magnetic-field phenomena. Starting from the Keldysh formalism, we derive the quantum kinetic equation from the Landau-level basis. As an illustration, we apply the kinetic equation to calculate the electrical conductivity of a two-dimensional electron gas exposed to a perpendicular magnetic field. |
| title | Kinetic equation from Landau level basis: Beyond relaxation-time approximation |
| topic | Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.06019 |