Interacting like charges in Landau levels: Planar geometry, symmetries, and effective quasiparticles
| dc.creator | Dzyubenko, A. B. | |
| dc.creator | Todd, A. R. | |
| dc.date | 2007-06-10 | |
| dc.date.accessioned | 2026-07-07T08:04:49Z | |
| dc.date.available | 2026-07-07T08:04:49Z | |
| dc.description | We consider a system of two interacting particles with like but unequal charges in a magnetic field in the planar geometry. We construct a complete basis of states compatible with both the axial symmetry and magnetic translations. The basis is obtained using a canonical transformation that generates effective quasiparticles with modified interactions. We establish a connection of this transformation with the SU(2) algebra and make use of the SU(2) Baker-Campbell-Hausdorff formulas for evaluating the interaction matrix elements. We calculate analytically the eigenenergies of the problem (Haldane pseudopotentials) in the first few Landau levels for a relatively wide class of interaction potentials. | |
| dc.description | 9 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0706.1343 | |
| dc.identifier | http://arxiv.org/abs/0706.1343 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130105 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Interacting like charges in Landau levels: Planar geometry, symmetries, and effective quasiparticles | |
| dc.type | text |