Dislon

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A dislon is a quantized field associated with the quantization of the lattice displacement in crystalline solids. It is a localized collective excitation of a crystal dislocation.[1]

## Description

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Dislons are special quasiparticles that emerge from the quantization of the lattice displacement field around a dislocation in a crystal. They exhibit unique particle statistics depending on the dimension of quantization. In one-dimensional quantization, dislons behave as bosonic quasiparticles. However, in three-dimensional quantization, the topological constraint of the dislocation leads to a breakdown of the canonical commutation relation, resulting in the emergence of two independent bosonic fields known as the d-field and f-field.[2]

## Interaction

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Dislons interact with other particles such as electrons and phonons. In the presence of multiple dislocations, the electron-dislon interaction can affect the electrical conductivity of the system. The distance-dependent interaction between electrons and dislocations leads to oscillations in the electron self-energy away from the dislocation core.[3][4]

## Applications

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The study of dislons provides insights into various phenomena in materials science, including the variation of superconducting transition temperatures in dislocated crystals. Dislons play a role in understanding the interaction between dislocations and phonons, affecting thermal transport properties in the presence of dislocations.

## See also

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* Quasiparticle
* Special theory of relativity
* List of particles
* List of quasiparticles
* Strong interaction

## References

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1. ^ M. Li, Y. Tsurimaki, Q. Meng, N. Andrejevic, Y. Zhu, G. D. Mahan, and G. Chen, "Theory of electron-phonon-dislon interacting system – toward a quantized theory of dislocations", New J. Phys. (2017) [1]
2. ^ Y. Habara, "Boson sea versus Dirac sea: General formulation of the Boson sea through supersymmetry", Int. J. Mod. Phys. A, 19, 5561, (2004)
3. ^ M. Li, Y. Tsurimaki, Q. Meng, N. Andrejevic, Y. Zhu, G. D. Mahan, and G. Chen, "Theory of electron-phonon-dislon interacting system – toward a quantized theory of dislocations", New J. Phys. (2017)
4. ^ M. Li, W. Cui, M. S. Dresselhaus, and G. Chen, "Electron energy can oscillate near a crystal dislocation", New J. Phys. 19, 013033 (2017)