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

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.

30 pages, 2 figures, 2 tables. Comments are welcome

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Cited by in corpus (7)

• The Non-Perturbative Quantum Nature of the Dislocation-Phonon Interaction
• Tuning Pairing Amplitude and Spin-Triplet Texture by Curving Superconducting Nanostructures
• Theory of Electron-Phonon-Dislon Interacting System - Toward a Quantized Theory of Dislocations
• Quantized Dislocations
• Observation of hidden parts of dislocation loops in thin Pb films by means of scanning tunneling spectroscopy
• Ubiquitous Ideal Spin-Orbit Coupling in a Screw Dislocation in Semiconductors
• Dislocation Patterning as a Mechanism for Flat Band Formation