Self-consistent calculation of the autolocalization barrier for quasiparticles in anisotropic crystal

TL;DR

This paper presents a self-consistent numerical and analytical approach to calculating the autolocalization barrier for quasiparticles in anisotropic crystals, considering electron-phonon interactions and spectral anisotropy.

Contribution

It introduces a method to compute the autolocalization barrier in anisotropic crystals, accounting for spectral anisotropy and providing analytical solutions for specific cases.

Findings

Barrier height depends on anisotropy parameters.

Numerical calculations performed using continual approximation.

Analytical solutions derived for quasi-1D and quasi-2D spectra.

Abstract

The energy of the electron wave packet interacting with lattice distortion, is considered in anisotropic crystal. Anisotropy of the electron and phonon spectra as well as of the electron-phonon interaction are taken into account. The height of the barrier between free and self-trapped states is calculated in dependence on the anisotropy parameters. The calculation is done numerically, using continual aproximation. The analytical solution is obtained for some cases of quasi-two and quasi-one-dimensional spectra. Key words: anisotropy; polarons; barrier.