Scaling of Temperature Dependence of Charge Mobility in Molecular Holstein Chains

TL;DR

This study investigates how charge mobility in DNA-like molecules depends on temperature, revealing rescaling behaviors that enable simplified predictions without extensive simulations.

Contribution

It introduces a rescaling approach for temperature dependence of charge mobility in Holstein chain models, facilitating easier estimations for homogeneous biopolymers.

Findings

Rescaling reveals similar behavior across different DNA sequences.

Two distinct rescaling regimes identified for low and intermediate temperatures.

Logarithmic polynomial approximation effectively models mobility curves.

Abstract

The temperature dependence of a charge mobility in a model DNA based on Holstein Hamiltonian is calculated for 4 types of homogeneous sequences It has turned out that upon rescaling all 4 types are quite similar. Two types of rescaling, i.e. those for low and intermediate temperatures, are found. The curves obtained are approximated on a logarithmic scale by cubic polynomials. We believe that for model homogeneous biopolymers with parameters close to the designed ones, one can assess the value of the charge mobility without carrying out resource-intensive direct simulation, just by using a suitable approximating function.