Renormalized energy of ground and first excited state of Fröhlich polaron in the range of weak coupling

Abstract

Partial summing of infinite range of diagrams for the two-phonon mass operator of polaron described by Fröhlich Hamiltonian is performed using the Feynman-Pines diagram technique. Renormalized spectral parameters of ground and first excited (phonon repeat) polaron state are accurately calculated for a weak electron-phonon coupling at $T=0$ K. It is shown that the stronger electron-phonon interaction shifts the energy of both states into low-energy region of the spectra. The ground state stays stationary and the excited one decays at a bigger coupling constant.

12 pages, 5 figures

References in corpus (4)

• Fröhlich Polarons from 0D to 3D: Concepts and Recent Developments
• On the validity of the Franck-Condon principle in the optical spectroscopy: optical conductivity of the Fröhlich polaron
• On the nature of the optical conductivity of polaron
• The effect of interface phonons on operating electron states in three-barrier resonant tunneling structure as an active region of quantum cascade detector

Cited by in corpus (4)

• Translational-invariant bipolarons and superconductivity
• Impurity self-energy in the strongly-correlated Bose systems
• Properties and temperature evolution of the spectrum of localized quasi-particles interacting with polarization phonons in two models
• Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature