Complex dynamics in circular and deformed bilayer graphene inspired billiards with anisotropy and strain
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916517877121024 |
|---|---|
| author | Seemann, Lukas Lukin, Jana Häßler, Max Gemming, Sibylle Hentschel, Martina |
| author_facet | Seemann, Lukas Lukin, Jana Häßler, Max Gemming, Sibylle Hentschel, Martina |
| contents | While billiard systems of various shapes have been used as paradigmatic model systems in the fields of nonlinear dynamics and quantum chaos, few studies have investigated anisotropic billiards. Motivated by the tremendous advances in using and controlling electronic and optical mesoscopic systems with bilayer graphene representing an easily accessible anisotropic material for electrons when trigonal warping is present, we investigate billiards of various anisotropies and geometries using a trajectory tracing approach founded in the concept of ray-wave correspondence. We find that the presence of anisotropy can render the billiards' dynamics dramatically from its isotropic counterpart. It may induce chaotic and mixed dynamics in otherwise integrable systems, and may stabilize originally unstable trajectories. We characterize the dynamics of anisotropic billiards in real and phase space using Lyapunov exponents and the Poincaré surface of section as phase space representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07934 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complex dynamics in circular and deformed bilayer graphene inspired billiards with anisotropy and strain Seemann, Lukas Lukin, Jana Häßler, Max Gemming, Sibylle Hentschel, Martina Optics Chaotic Dynamics While billiard systems of various shapes have been used as paradigmatic model systems in the fields of nonlinear dynamics and quantum chaos, few studies have investigated anisotropic billiards. Motivated by the tremendous advances in using and controlling electronic and optical mesoscopic systems with bilayer graphene representing an easily accessible anisotropic material for electrons when trigonal warping is present, we investigate billiards of various anisotropies and geometries using a trajectory tracing approach founded in the concept of ray-wave correspondence. We find that the presence of anisotropy can render the billiards' dynamics dramatically from its isotropic counterpart. It may induce chaotic and mixed dynamics in otherwise integrable systems, and may stabilize originally unstable trajectories. We characterize the dynamics of anisotropic billiards in real and phase space using Lyapunov exponents and the Poincaré surface of section as phase space representation. |
| title | Complex dynamics in circular and deformed bilayer graphene inspired billiards with anisotropy and strain |
| topic | Optics Chaotic Dynamics |
| url | https://arxiv.org/abs/2412.07934 |