Propagation of Semiclassical Measures Between Two Topological Insulators
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914316461015040 |
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| author | Vacelet, Éric |
| author_facet | Vacelet, Éric |
| contents | We study propagation in a system consisting of two topological insulators without a magnetic field, whose interface is a non-compact, smooth, and connected curve without boundary. The dynamics are governed by an adiabatic modulation of a Dirac operator with a smooth, effective variable mass. We determine the evolution of the semiclassical measure of the solution using a two-scale Wigner measure method, after reducing the Hamiltonian to a normal form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11928 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Propagation of Semiclassical Measures Between Two Topological Insulators Vacelet, Éric Analysis of PDEs Mathematical Physics 35B40, 35F05, 35Q40 We study propagation in a system consisting of two topological insulators without a magnetic field, whose interface is a non-compact, smooth, and connected curve without boundary. The dynamics are governed by an adiabatic modulation of a Dirac operator with a smooth, effective variable mass. We determine the evolution of the semiclassical measure of the solution using a two-scale Wigner measure method, after reducing the Hamiltonian to a normal form. |
| title | Propagation of Semiclassical Measures Between Two Topological Insulators |
| topic | Analysis of PDEs Mathematical Physics 35B40, 35F05, 35Q40 |
| url | https://arxiv.org/abs/2412.11928 |