Width of Phonon Sidebands in the Brownian Oscillator Model

Abstract

The line width dependence of zero-phonon lines and phonon sidebands on temperature, bath dissipation, and electron-phonon coupling is studied for an underdamped Brownian oscillator model with an Ohmic dissipative bath. Factors determining the line widths vary from the zero-phonon lines to the phonon sidebands. The control-parameter space of line broadening has been mapped out, revealing that the line widths of the zero-phonon lines and phonon sidebands are linearly dependent on both the temperature and the Huang-Rhys factor. It is also found that the dependence of the line widths on the bath damping factor is linear for the zero-phonon lines and quadratic for the phonon sidebands.

Revisiting the combined photon echo and single-molecule studies of low-temperature dynamics in a dye-doped polymer

“…The question about the value of α was extensively discussed in the 1980–1990ies and eventually it became clear that α can take the values 1 ≤ α < 2 (see, e.g. ) and its exact value depends on the dye‐matrix system.…”

“…The question about the value of α was extensively discussed in the 1980-1990ies and eventually it became clear that α can take the values 1 ≤ α < 2 (see, e.g. [38,[51][52][53]) and its exact value depends on the dye-matrix system. Finally, the ZPL broadening due to the quadratic electron-phonon interaction, which in the simplest case of interaction with a single quasilocalized low-frequency vibrational mode (LFM) is expressed as…”

Theoretical studies of vibrationally resolved absorption and emission spectra: From a single chromophore to multichromophoric oligomers/aggregates

“…Furthermore, when the system size is large, accurate description of electronically excited states requires very demanding calculations. For the vibrationally resolved absorption and emission spectra of a single molecule, a well-known model is the Brownian oscillator (BO) [9][10][11][12][13], by means of which analytical formulae of the spectra can be obtained under an assumption that the electronic ground and excited states have the same vibrational frequencies. The spectral width is related to damping factors, which include the effects of the surroundings on the molecules.…”

Theoretical investigation of optical and transport properties of organic semiconductors

“…The multi-mode Brownian oscillator model (MBO) [34,[139][140][141][142][143][144][145][146][147][148] In the MBO model, the Hamiltonian of the system can be described by: we can write a correlation function as:…”

“…As previously demonstrated in Ref. [141][142][143]148] The MBO model is also applied to fit the PL spectra for rubrene single crystal; the results of emission signal from different surfaces are given in Figure 13. As we can observe from Figure 12, the absorption spectra of rubrene in solution display well-resolved phonon sidebands and the MBO spectra are almost perfectly well overlapped with the experimental spectra except for the high energy region.…”