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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.01564 |
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| _version_ | 1866913508662181888 |
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| author | Cornean, Horia D. Marcelli, Giovanna |
| author_facet | Cornean, Horia D. Marcelli, Giovanna |
| contents | We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial condition from the "small sample". We also show that the steady charge current intensities are given by Landauer-Büttiker-like formulas, and make the connection with the case of weakly self-interacting many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01564 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the self-consistent Landauer-Büttiker formalism Cornean, Horia D. Marcelli, Giovanna Mathematical Physics Mesoscale and Nanoscale Physics We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial condition from the "small sample". We also show that the steady charge current intensities are given by Landauer-Büttiker-like formulas, and make the connection with the case of weakly self-interacting many-body systems. |
| title | On the self-consistent Landauer-Büttiker formalism |
| topic | Mathematical Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2309.01564 |