kdotpy: $\mathbf{k}\cdot\mathbf{p}$ theory on a lattice for simulating semiconductor band structures
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arXiv
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| Hauptverfasser: | , , , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912206243758080 |
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| author | Beugeling, Wouter Bayer, Florian Berger, Christian Böttcher, Jan Bovkun, Leonid Fuchs, Christopher Hofer, Maximilian Shamim, Saquib Siebert, Moritz Wang, Li-Xian Hankiewicz, Ewelina M. Kießling, Tobias Buhmann, Hartmut Molenkamp, Laurens W. |
| author_facet | Beugeling, Wouter Bayer, Florian Berger, Christian Böttcher, Jan Bovkun, Leonid Fuchs, Christopher Hofer, Maximilian Shamim, Saquib Siebert, Moritz Wang, Li-Xian Hankiewicz, Ewelina M. Kießling, Tobias Buhmann, Hartmut Molenkamp, Laurens W. |
| contents | The software project kdotpy provides a Python application for simulating electronic band structures of semiconductor devices with $\mathbf{k}\cdot\mathbf{p}$ theory on a lattice. The application implements the widely used Kane model, capable of reliable predictions of transport and optical properties for a large variety of topological and non-topological materials with a zincblende crystal structure. The application automates the tedious steps of simulating band structures. The user inputs the relevant physical parameters on the command line, for example materials and dimensions of the device, magnetic field, and temperature. The program constructs the appropriate matrix Hamiltonian on a discretized lattice of spatial coordinates and diagonalizes it. The physical observables are extracted from the eigenvalues and eigenvectors and saved as output. The program is highly customizable with a large set of configuration options and material parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | kdotpy: $\mathbf{k}\cdot\mathbf{p}$ theory on a lattice for simulating semiconductor band structures Beugeling, Wouter Bayer, Florian Berger, Christian Böttcher, Jan Bovkun, Leonid Fuchs, Christopher Hofer, Maximilian Shamim, Saquib Siebert, Moritz Wang, Li-Xian Hankiewicz, Ewelina M. Kießling, Tobias Buhmann, Hartmut Molenkamp, Laurens W. Mesoscale and Nanoscale Physics Computational Physics The software project kdotpy provides a Python application for simulating electronic band structures of semiconductor devices with $\mathbf{k}\cdot\mathbf{p}$ theory on a lattice. The application implements the widely used Kane model, capable of reliable predictions of transport and optical properties for a large variety of topological and non-topological materials with a zincblende crystal structure. The application automates the tedious steps of simulating band structures. The user inputs the relevant physical parameters on the command line, for example materials and dimensions of the device, magnetic field, and temperature. The program constructs the appropriate matrix Hamiltonian on a discretized lattice of spatial coordinates and diagonalizes it. The physical observables are extracted from the eigenvalues and eigenvectors and saved as output. The program is highly customizable with a large set of configuration options and material parameters. |
| title | kdotpy: $\mathbf{k}\cdot\mathbf{p}$ theory on a lattice for simulating semiconductor band structures |
| topic | Mesoscale and Nanoscale Physics Computational Physics |
| url | https://arxiv.org/abs/2407.12651 |