Oscillatory deviations from Matthiessen's rule due to interacting dislocations

TL;DR

This paper reveals that electron relaxation rates deviate oscillatory from Matthiessen's rule due to dislocation interactions, challenging the assumption of monotonic behavior in highly dislocated systems.

Contribution

It introduces a quantum field theoretical model to analyze dislocation interactions and their impact on electron relaxation rates, highlighting oscillatory deviations from classical rules.

Findings

Electron relaxation rates oscillate with inter-dislocation distance.

Deviation from Matthiessen's rule depends on electron energy and interaction strengths.

The model provides a computational tool for quantum-level analysis of dislocated materials.

Abstract

We theoretically examine the validity of Matthiessen's rule caused by strong dislocation-dislocation interaction using a fully quantized dislocation field, where its degree of deviation is quantified at arbitrary electron energy, dislocation-electron and dislocation-dislocation distances and interaction strengths. Contrary to intuition, we show that the electron relaxation rate deviates from the Matthiessen's rule in an oscillatory way as a function of inter-dislocation distance, instead of monotonically. This study could serve as a computational tool to investigate the electronic behavior of a highly-dislocated system at a full quantum field theoretical level.