Electron-electron Bound States in Parity-Preserving QED3

Abstract

By considering the Higgs mechanism in the framework of a parity-preserving Planar Quantum Electrodynamics, one shows that an attractive electron-electron interaction may come out. The e-e interaction potential emerges as the non-relativistic limit of the Moller scattering amplitude and it may result attractive with a suitable choice of parameters. Numerical values of the e-e binding energy are obtained by solving the two-dimensional Schrodinger equation. The existence of bound states is to be viewed as an indicative that this model may be adopted to address the pairing mechanism in some systems endowed with parity-preservation.

6 pages, 1 table, style revtex

References in corpus (4)

• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Electron-Electron Bound States in Maxwell-Chern-Simons-Proca QED3
• Electron-electron attractive interaction in Maxwell-Chern-Simons QED3 at zero temperature

Cited by in corpus (6)

• Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating planar model
• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
• Electron-electron interaction in a MCS model with a purely spacelike Lorentz-violating background
• Effects on the Non-Relativistic Dynamics of a Charged Particle Interacting with a Chern-Simons Potential
• On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type
• Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture