a particle that occurs in two-dimensional space having characteristics of both fermions and bosons
anyon in American English
(ˈænjɑn)
noun
an elementary particle or particle-like excitation having properties intermediate between those of bosons and fermions
Word origin
[1983; any + -on1]-on is a suffix used in the names of subatomic particles (gluon; meson; neutron), quanta (graviton), and other minimal entities or components (cistron; codon; magneton; photon)
Examples of 'anyon' in a sentence
anyon
We comment on potential applications to fermions at unitarity and critical anyon systems.
S. M. Kravec, Sridip Pal 2019, 'Nonrelativistic conformal field theories in the large charge sector', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP02(2019)008. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Two of the anyon models are critical at zero temperature.
Peter E. Finch, Michael Flohr, Holger Frahm 2014, 'Integrable anyon chains: From fusion rules to face models to effective field theories',Nuclear Physics Bhttp://www.sciencedirect.com/science/article/pii/S055032131400323X. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
A pseudo-species has different ‘excitation' modes, each corresponding to an anyon species.
Yingcheng Li, Hongyu Wang, Yuting Hu, Yidun Wan 2019, 'Anyonic exclusions statistics on surfaces with gapped boundaries', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP04(2019)078. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
These results apply to theories with a superfluid phase, such as unitary fermions or critical anyon systems.
S. M. Kravec, Sridip Pal 2019, 'The spinful large charge sector of non-relativistic CFTs: from phonons to vortex crystals',Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP05(2019)194. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Just as fermion fields have to be represented by anticommuting variables, anyon fields require q-commuting ones.
P. Mitra 1993, 'Generalized Grassmann variables for anyon field theory', Physics Letters Bhttp://www.sciencedirect.com/science/article/pii/037026939391188S. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This supports one of the assumptions of algebraic anyon theories, that there exist only finitely many anyon types.
Steven T. Flammia, Jeongwan Haah, Michael J. Kastoryano, Isaac H. Kim 2017, 'Limits on the storage of quantum information in a volume of space', Quantumhttps://quantum-journal.org/q-2017-04-25-4/pdf/. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The relevant past studies had considered only anyon systems without any physical boundary but boundaries often appear in real-life materials.
Yingcheng Li, Hongyu Wang, Yuting Hu, Yidun Wan 2019, 'Anyonic exclusions statistics on surfaces with gapped boundaries', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP04(2019)078. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also choose a specific anyon model and error model to probe the problem in more detail.
James R. Wootton, Jan Burri, Sofyan Iblisdir, Daniel Loss 2014, 'Error Correction for Non-Abelian Topological Quantum Computation', Physical Review Xhttp://doi.org/10.1103/PhysRevX.4.011051. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)