# Validity of the Franck-Condon principle in the optical spectroscopy: optical conductivity of the Fröhlich polaron.

@article{DeFilippis2006ValidityOT, title={Validity of the Franck-Condon principle in the optical spectroscopy: optical conductivity of the Fr{\"o}hlich polaron.}, author={Giulio De Filippis and Vittorio Cataudella and Andrei S. Mishchenko and Carmine Antonio Perroni and Jozef T. Devreese}, journal={Physical review letters}, year={2006}, volume={96 13}, pages={ 136405 } }

The optical absorption of the Fröhlich polaron model is obtained by an approximation-free diagrammatic Monte Carlo method and compared with two new approximate approaches that treat lattice relaxation effects in different ways. We show that: (i) a strong coupling expansion, based on the Franck-Condon principle, well describes the optical conductivity for large coupling strengths (alpha > 10); (ii) a memory function formalism with phonon broadened levels reproduces the optical response for weak… Expand

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#### References

SHOWING 1-10 OF 41 REFERENCES

Optical conductivity of the Fröhlich polaron.

- Physics, Medicine
- Physical review letters
- 2003

It is shown that the picture of sharp resonances due to relaxed excited states in the strong-coupling regime is "washed out" by large broadening of these states and the spectrum contains only a single-maximum broad peak with peculiar shape and a shoulder. Expand

Failure of the Born–Oppenheimer and Franck–Condon approximations for long distance electron transfer rate calculations

- Chemistry
- 1984

Quantum mechanical and semiclassical formulations of nonadiabatic electron transfer theory are usually implemented within a Born–Oppenheimer regime. Calculations on real weakly interacting systems… Expand

Optical Processes in Solids

- Physics
- 2003

It is known from theory and from comparison with experiment that optical spectra and their lineshapes can tell us much about the microscopic motion of the constituent particles of matter – electrons… Expand

XX. Properties of slow electrons in polar materials

- Physics
- 1950

Summary Using a variational method we have investigated the properties of the lowest energy levels in a range ħω above the ground level of the system consisting of an electron and a continuous… Expand

Ground state features of the Fröhlich model

- Physics
- 2003

Abstract.Following the ideas behind the Feynman approach, a variational wave function is proposed for the Fröhlich model. It is shown that it provides, for any value of the electron-phonon coupling… Expand

The Franck‐Condon Principle and Its Application to Crystals

- Chemistry
- 1952

The semiclassical Franck‐Condon principle is shown to be related to the more rigorous (``exact'') quantum‐mechanical perturbation formula in the following ways: (1) the Franck‐Condon formula can be… Expand

Mobility of Slow Electrons in a Polar Crystal

- Physics
- 1962

We have obtained an approximate expression for the impedance function at all frequencies, temperatures, and coupling strengths of an electron coupled to a polar lattice (a system commonly called a… Expand

Magnetic excitation spectrum of mixed-valence SmB6 studied by neutron scattering on a single crystal

- Physics
- 1995

The paramagnetic response of mixed-valence samarium hexaboride has been studied by inelastic neutron scattering using a low-absorption double-isotope single crystal of 154Sm11 B6. Measurements were… Expand

Intense-laser-field ionization of molecular hydrogen in the tunneling regime and its effect on the vibrational excitation of H2+.

- Materials Science, Medicine
- Physical review letters
- 2004

H2 molecules were ionized by Ti:sapphire and Nd-doped yttrium aluminum garnet lasers and found to be concentrated in the lowest vibrational levels, departure from conventional Franck-Condon-like distributions. Expand

Slow Electrons in a Polar Crystal

- Physics
- 1955

A variational principle is developed for the lowest energy of a system described by a path integral. It is applied to the problem of the interaction of an electron with a polarizable lattice, as… Expand