Stark effect upon the effective mass and radius in a tight-binding exciton model
| dc.creator | El-khoury, Jean | |
| dc.creator | Gallinar, Jean-Pierre | |
| dc.date | 2002-11-15 | |
| dc.date.accessioned | 2026-07-25T22:25:15Z | |
| dc.description | With a Green's function formalism we obtain the eigenvalue spectrum of a tight-binding one-dimensional exciton model characterized by a contact interaction, a Coulombic electron and hole attraction, the Heller-Marcus exciton-hopping energy and an external constant and homogeneous electric field. The resulting eigenvalue spectrum, in the form of an unevenly spaced Wannier-Stark ladder with envelope profiles, is used to obtain the effective mass of the exciton by the application of the Mattis-Gallinar effective mass formula [D. C. Mattis and J.-P. Gallinar, {\it Phys. Rev. Lett.} {\bf{53}}, 1391 (1984)]. We obtain positive and negative effective masses for the exciton. The inverse effective mass may oscillate periodically as a function of the inverse of the electric field, with the frequency of oscillation linearly dependent upon the tight-binding hopping matrix element. The exciton radius is also obtained with the Green's function formalism, and it too exhibits Keldysh-like field dependent oscillations, as well as abrupt variations associated to strongly avoided crossings in the eigenvalue spectrum. Finally, some comments are made about the experimental relevance of our results. | |
| dc.description | Latex 7 pages (RevTeX4), 9 eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0211340 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0211340 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/88881 | |
| dc.subject | Condensed Matter | |
| dc.title | Stark effect upon the effective mass and radius in a tight-binding exciton model | |
| dc.type | text |