Three-dimensional non-Bosonic non-Fermionic quasiparticle through a quantized topological defect of crystal dislocation

TL;DR

This paper introduces a new type of quasiparticle in 3D, called dislons, which obey neither Bosonic nor Fermionic statistics due to topological constraints of dislocations, impacting electron interactions and superconductivity.

Contribution

It presents a novel theory of dislons as non-Bosonic, non-Fermionic quasiparticles in 3D, expanding understanding of topological effects on particle statistics.

Findings

Dislons can obey non-Bosonic, non-Fermionic statistics due to dislocation topology.

The theory explains dislocation effects on electron interactions and superconductivity.

Experimental data aligns with the proposed dislon-based interaction model.

Abstract

It is a fundamental postulate that quasiparticles in 3D space obey either Bosonic or Fermionic statistics, satisfying either canonical commutation or anti-commutation relation. However, under certain constraints, such as the 2D dimensional constraint, canonical quantization algebra is allowed to break down, and quasiparticles can obey other statistics, such as anyonic statistics. In this study, we show that dislons- the quasiparticles in 3D due to quantized displacement field of a dislocation- can also obey neither Bosonic nor Fermionic statistics due to the topological constraint of the dislocation. With this theory, an effective electron field theory based on the electron-dislon interaction is obtained, which consists of two types of interactions. One classical-type of interaction is reducible to the well-known deformation potential scattering, and the other quantum-type of interaction indicates an effective attraction between electrons. The role of dislocations in superconductivity is clarified as the competition between the classical and quantum interactions, showing excellent agreement with experiments.