Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary
| dc.creator | Giomi, Luca | |
| dc.creator | Bowick, Mark J. | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T08:21:58Z | |
| dc.date.available | 2026-07-07T08:21:58Z | |
| dc.description | We investigate the zero temperature structure of a crystalline monolayer constrained to lie on a two-dimensional Riemannian manifold with variable Gaussian curvature and boundary. A full analytical treatment is presented for the case of a paraboloid of revolution. Using the geometrical theory of topological defects in a continuum elastic background we find that the presence of a variable Gaussian curvature, combined with the additional constraint of a boundary, gives rise to a rich variety of phenomena beyond that known for spherical crystals. We also provide a numerical analysis of a system of classical particles interacting via a Coulomb potential on the surface of a paraboloid. | |
| dc.description | 12 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0702471 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0702471 | |
| dc.identifier | Phys. Rev. B 76, 054106 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.76.054106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135498 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary | |
| dc.type | text |