Eur. Phys. J. B 16, 439-446 (2000)
https://doi.org/10.1007/s100510070201

Stability of low-dimensionally-confined bipolarons

Department of Physics, Bilkent University, 06533 Ankara, Turkey

Corresponding author: ^a senger@fen.bilkent.edu.tr

Received: 15 September 1999
Revised: 20 March 2000
Published online: 15 August 2000

Abstract

In the limit of strong electron-phonon coupling, we provide a unified insight into the stability criterion for bipolaron formation in low-dimensionally confined media. The model that we use consists of a pair of electrons immersed in a reservoir of bulk LO phonons and confined within an anisotropic parabolic potential box, whose barrier slopes can be tuned arbitrarily from zero to infinity. Thus, encompassing the bulk and all low-dimensional geometric configurations of general interest, we obtain an explicit tracking of the critical ratio n_c of dielectric constants below which bipolarons can exist.