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Large bipolarons in two and three dimensions

VERBIST, G ; PEETERS, F. M ; DEVREESE, J. T

Physical review. B, Condensed matter, 1991-02, Vol.43 (4A), p.2712-2720

Woodbury, NY: American Physical Society

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Título:
Large bipolarons in two and three dimensions
Autor: VERBIST, G ; PEETERS, F. M ; DEVREESE, J. T
Assuntos: 656100 - Condensed Matter Physics- Superconductivity ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; Condensed matter: electronic structure, electrical, magnetic, and optical properties ; DIMENSIONS ; ELECTRIC CONDUCTIVITY ; ELECTRICAL PROPERTIES ; Electron states ; ELECTRON-PHONON COUPLING ; ENERGY LEVELS ; Exact sciences and technology ; FEYNMAN PATH INTEGRAL ; GROUND STATES ; INTEGRALS ; PHYSICAL PROPERTIES ; Physics ; POLARONS ; Polarons and electron-phonon interactions ; QUASI PARTICLES ; SCALING ; SUPERCONDUCTIVITY
É parte de: Physical review. B, Condensed matter, 1991-02, Vol.43 (4A), p.2712-2720
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
Descrição: Feynman path-integral techniques are used to study the large bipolaron system. A new trial action is introduced, which takes into account a nonzero average distance between the electrons. With this trial action, variational expressions are derived for the free energy for arbitrary electron-phonon interactions and spatial dimensions. For large interelectronic repulsions (twice) the Feynman upper bound for a single polaron is reobtained. Therefore it is possible to discuss the single-polaron--bipolaron transition within the same physical picture for both bipolarons and single polarons. Numerical results are presented for the case of LO-phonon interaction and a Coulombic repulsion between the electrons. For this system a scaling relation between the free energies in two (2D) and three dimensions (3D) is obtained. Bipolaron formation is only possible above a critical value for the coupling constant {alpha}{sub {ital c}}, which is lower in two than in three dimensions (in 2D: {alpha}{sub {ital c}}{approx}2.9 and in 3D: {alpha}{sub {ital c}}{approx}6.8). This indicates more favorable conditions for bipolaron formation in two dimensions, which might be of relevance for the bipolaron model of high-{ital T}{sub {ital c}} superconductivity. The single-polaron--bipolaron transition behaves much like a first-order phase transition.
Editor: Woodbury, NY: American Physical Society
Idioma: Inglês

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Large bipolarons in two and three dimensions

VERBIST, G ; PEETERS, F. M ; DEVREESE, J. T

Woodbury, NY: American Physical Society

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