Physics NotePublished
Electron-Electron Bound States in Maxwell-Chern-Simons-Proca QED
H. Belich Jr; O. M. D. Cima; M.M. Ferreira Jr; José Abdalla Helayel Neto
2002
Publication details
- Authors
- H. Belich Jr; O. M. D. Cima; M.M. Ferreira Jr; José Abdalla Helayel Neto
- Type
- Physics Note
- Status
- Published
- Publication date
- 2002
- Description
- We start from a parity-breaking MCS QED_{3} model with spontaneous breaking of the gauge symmetry as a framework for evaluation of the electron-electron interaction potential and for attainment of numerical values for the $e^{-}e^{-}-$ bound state. Three expressions ($V_{\text{eff}_{\uparrow \uparrow }},V_{\text{eff}_{\uparrow \downarrow }}, V_{\text{eff}{\downarrow \downarrow }})$ are obtained according to the polarization state of the scattered electrons. In an energy scale compatible with Condensed Matter electronic excitations, these three potentials become degenerated. The resulting potential is implemented in the Schr\"{o}dinger equation and the variational method is applied to carry out the electronic binding energy. The resulting binding energies in the scale of $10-100$ $meV$ and a correlation length in the scale of $10-30$\AA\ are possible indications that the MCS-QED$_{3}$ model adopted may be suitable to address an eventual case of $e^{-}e^{-}$ pairing in the presence of parity-symmetry breakdown. The data analyzed here suggest an energy scale of $10$-$100$ $meV$ to fix the breaking of the $U(1)$-symmetry.
- Year
- 2002
- Number
- CBPF-NF-031/02
- Linked to a thesis
- No
- Linked to a grant
- No