Reaction rates in squeezed polaron bands controlled by quantum statistics

TL;DR

This paper extends the classical reaction rate models to include quantum statistics, specifically Fermi-Dirac and Bose-Einstein distributions, to better describe polaronic systems at low temperatures.

Contribution

It introduces a quantum statistical framework for reaction rates in polaron bands, enhancing the accuracy of models at low temperatures under quantum conditions.

Findings

Quantum statistics can be incorporated into reaction rate models.

Both Fermi-Dirac and Bose-Einstein extensions are feasible.

Improved understanding of polaronic systems at low temperatures.

Abstract

Reaction rates are often defined using classical statistics for introducing the thermal occupation probabilities. Its predictions for the temperature dependence of a rate are found in reasonable agreement with experiments. In view of the applications to polaronic systems at lower temperatures under strongly quantized conditions, we now extend the definition so as to incorporate quantum statistics as well, Fermi-Dirac for polarons and Bose-Einstein for bipolarons. We find both extensions feasible.