Residual resistivity due to wedge disclination dipoles in metals with rotational plasticity

TL;DR

This paper investigates how wedge disclination dipoles influence residual resistivity in metals, revealing a power-law dependence on dipole size with different exponents for biaxial and uniaxial configurations.

Contribution

It introduces a model linking wedge disclination dipoles to residual resistivity and derives specific power-law relationships based on dipole geometry.

Findings

Residual resistivity scales as L^{-3} for biaxial dipoles.

Residual resistivity scales as L^{-2} for uniaxial dipoles.

The model provides a quantitative framework for understanding defect-induced resistivity.

Abstract

The residual resistivity $\rho $ in metals caused by wedge disclination dipoles is studied in the framework of the Drude formula. It is shown that $\rho\sim L^{-p}$ with $p=3$ for biaxial and $p=2$ for uniaxial dipoles ($L$ is a size of dipole arm)