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# Bipolaron

• Alexandre S. Alexandrov
• Jozef T. Devreese
Chapter
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 159)

## Abstract

Polarons interact with each other, cf. (3.40) for small polarons. The range of the deformation surrounding the Fröhlich polarons is quite large, and their deformation fields are overlapped at finite density. Taking into account both the long-range attraction of polarons owing to the lattice deformations and their direct Coulomb repulsion, the residual long-range interaction turns out rather weak and repulsive in ionic crystals [26]. In the long-wavelength limit $$(q \ll \pi/a),$$ the Fröhlich EPI dominates in the attractive part, but polarons repel each other at large distances, $$|{\rm m}- {\rm n}| \gg a$$:
$$v({\rm m} - {\rm n}) = \frac{e^{2}}{\varepsilon_0|{\rm m} - {\rm n}|} > 0.$$
(4.1)
The Fröhlich EPI nearly nullifies the bare Coulomb repulsion, if $$\varepsilon_0 \gg 1,$$ but cannot overscreen it at large distances.

## Keywords

Coulomb Repulsion Small Polaron Polaron Band Holstein Model Bipolaron Formation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer-Verlag Berlin Heidelberg 2010

## Authors and Affiliations

1. 1.Dept. PhysicsLoughborough UniversityLoughboroughUnited Kingdom
2. 2.Universiteit AntwerpenAntwerpenBelgium