Dislocation Dynamics in a Crystal Lattice (Peierls-Nabarro) Relief

TL;DR

This paper reviews dislocation motion in crystal lattices, extending the Peierls-Nabarro theory to include quantum tunnelling and explaining flow stress behavior across different temperature regimes and states.

Contribution

It introduces a quantum mechanical extension to the classical dislocation theory and models flow stress changes during state transitions like superconductivity.

Findings

Quantum tunnelling affects dislocation motion at low temperatures.

Flow stress varies with temperature and electronic state.

Switching between normal and superconducting states influences dislocation dynamics.

Abstract

The theory of the dislocation motion in the periodic potential relief of the crystal lattice (the Peierls-Nabarro barriers) is reviewed. On the basis of the kink mechanism the temperature dependence of the flow stress is described for a wide class of materials. The theory of quantum mechanical dislocation tunnelling through the Peierls-Nabarro barriers is extended and compared with experimental data on the plasticity of alkali halides, BCC and HCP metals at low temperatures. The behavior of the flow stress at the range of athermic anomalies is modeled by changing the mechanism of the dislocation motion from the thermally activated hopping over the barriers to the quantum tunnelling through them. Some results of previous calculations are represented in a more explicit convenient for applications form. The pronounced effect of the switching between the normal and the superconducting states on the flow stress of metals is explained on the basis of the change in the dissipative properties of the electron subsystem affecting the dislocation motion.