A model for positron annihilation in multi-layer systems by solving the diffusion equation using different positron affinities
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908629373812736 |
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| author | Mathes, Lucian Göldl, Michael Leitner, Michael Kohlhaas, Bettina Suhr, Maximilian Burwitz, Vassily Vadimovitch Manhard, Armin Hugenschmidt, Christoph |
| author_facet | Mathes, Lucian Göldl, Michael Leitner, Michael Kohlhaas, Bettina Suhr, Maximilian Burwitz, Vassily Vadimovitch Manhard, Armin Hugenschmidt, Christoph |
| contents | We present a method for solving the positron diffusion equation in multi-layer systems. Our approach incorporates material-specific implantation profiles, diffusion parameters, and positron affinities. It utilizes a Markov chain approach to model annihilation probabilities and provides fitting capabilities for experimental S (lineshape) parameter data. We have implemented this algorithm in Python and made it available for free under the name LIMPID. To demonstrate its performance, we analyze depth-resolved Doppler-Broadening Spectroscopy measurements of a Cu layer on a Si substrate, achieving excellent agreement with the experimental profiles. The LIMPID tool enhances the reproducibility and comparability of positron defect characterization measurements across different research groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A model for positron annihilation in multi-layer systems by solving the diffusion equation using different positron affinities Mathes, Lucian Göldl, Michael Leitner, Michael Kohlhaas, Bettina Suhr, Maximilian Burwitz, Vassily Vadimovitch Manhard, Armin Hugenschmidt, Christoph Materials Science Data Analysis, Statistics and Probability We present a method for solving the positron diffusion equation in multi-layer systems. Our approach incorporates material-specific implantation profiles, diffusion parameters, and positron affinities. It utilizes a Markov chain approach to model annihilation probabilities and provides fitting capabilities for experimental S (lineshape) parameter data. We have implemented this algorithm in Python and made it available for free under the name LIMPID. To demonstrate its performance, we analyze depth-resolved Doppler-Broadening Spectroscopy measurements of a Cu layer on a Si substrate, achieving excellent agreement with the experimental profiles. The LIMPID tool enhances the reproducibility and comparability of positron defect characterization measurements across different research groups. |
| title | A model for positron annihilation in multi-layer systems by solving the diffusion equation using different positron affinities |
| topic | Materials Science Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2511.02889 |