Pekar's Ansatz and the Strong Coupling Problem in Polaron Theory
arXiv:1505.01699 · doi:10.3367/UFNe.0185.201503d.0317
Abstract
A detailed consideration is given to the translation-invariant theory of Tulub polaron constructed without the use of Pekar ansatz. A fundamental result of the theory is that the value of the polaron energy is lower than that obtained on the basis of Pekar ansatz which was considered as an asymptotically exact solution in the strong coupling limit. In the case of bipolarons the theory yields the best values of the coupling energy and critical parameters of their stability. Numerous physical consequences of the existence of translation-invariant polarons and bipolarons are discussed.
35 pages, 4 figures. Physics-Uspekhi (Advances in Physical Sciences), 2015, accepted. Draft version
References in corpus (9)
- Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductor
- Interplay between electron-phonon and Coulomb interactions in cuprates
- Charge dynamics of doped holes in high Tc cuprates - A clue from optical conductivity
- Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
- Trapping of three-dimensional Holstein polarons by various impurities
- Translation-invariant bipolarons and the problem of high-temperature superconductivity
- Calculation of overdamped c-axis charge dynamics and the coupling to polar phonons in cuprate superconductors
- Trapping of lattice polarons by impurities
- On the problem of the interpretation of quantum physics
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- Superconducting properties of 3D low-density TI-bipolaron gas in magnetic field
- Phonon interaction of electron in the translation-invariant strong-coupling theory
- Quark model of nucleon based on an analogy with polaron
- Cooper pairs and bipolarons
- Translation-Invariant Excitons in a Phonon Field