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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09212 |
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Table of Contents:
- We prove that in a Sobolev space $H^s_{Λ}({\mathbb R}^2;{\mathbb R})$, $s > 0$, of periodic functions with a given period lattice $Λ$, there exists a dense $G_{δ}$-set ${\mathcal O}$ such that the spectrum of the Landau Hamiltonian $H_B + V$ perturbed by any periodic electric potential $V\in {\mathcal O}$ is absolutely continuous for all homogeneous magnetic fields with a rational flux.