prikaz prve stranice dokumenta Exact solutions of a model for synthetic anyons in a noninteracting system
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Scientific paper - Original scientific paper
Exact solutions of a model for synthetic anyons in a noninteracting system
Physical Review B (condensed matter and materials physics), 101 (2020), 11; 1-10. https://doi.org/10.1103/physrevb.101.115139
Lunić, Frane; Todorić, Marija; Klajn, Bruno; Dubček, Tena; Jukić, Dario; Buljan, Hrvoje

Institutional repository: Repository of the Faculty of Civil Engineering, University of Zagreb

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Lunić, F., Todorić, M., Klajn, B., Dubček, T., Jukić, D. & Buljan, H. (2020). Exact solutions of a model for synthetic anyons in a noninteracting system. Physical Review B (condensed matter and materials physics), 101. (11), 1-10. doi: 10.1103/physrevb.101.115139

Lunić, Frane, et al. "Exact solutions of a model for synthetic anyons in a noninteracting system." Physical Review B (condensed matter and materials physics), vol. 101, no. 11, 2020, pp. 1-10. https://doi.org/10.1103/physrevb.101.115139

Lunić, Frane, Marija Todorić, Bruno Klajn, Tena Dubček, Dario Jukić and Hrvoje Buljan. "Exact solutions of a model for synthetic anyons in a noninteracting system." Physical Review B (condensed matter and materials physics) 101, no. 11 (2020): 1-10. https://doi.org/10.1103/physrevb.101.115139

Lunić, F., et al. (2020) 'Exact solutions of a model for synthetic anyons in a noninteracting system', Physical Review B (condensed matter and materials physics), 101(11), pp. 1-10. doi: 10.1103/physrevb.101.115139

Lunić F, Todorić M, Klajn B, Dubček T, Jukić D, Buljan H. Exact solutions of a model for synthetic anyons in a noninteracting system. Physical Review B (condensed matter and materials physics) [Internet]. 2020 [cited 2024 September 12];101(11):1-10. doi: 10.1103/physrevb.101.115139

F. Lunić, M. Todorić, B. Klajn, T. Dubček, D. Jukić and H. Buljan, "Exact solutions of a model for synthetic anyons in a noninteracting system", Physical Review B (condensed matter and materials physics), vol. 101, no. 11, pp. 1-10, 2020. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:196720. [Accessed: 12 September 2024]

Metadata
Title (english)Exact solutions of a model for synthetic anyons in a noninteracting system
AuthorFrane Lunić
AuthorMarija Todorić
AuthorBruno Klajn
AuthorTena Dubček
AuthorDario Jukić
AuthorHrvoje Buljan
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
We study a theoretical model for synthetic anyons in a noninteracting quantum many-body system. Synthetic anyons can occur in a noninteracting system when it is perturbed with specially tailored localized probes, which supply the demanded nontrivial topology in the system. The model is represented by the Hamiltonian for noninteracting electrons in two dimensions, in a uniform magnetic field, pierced with solenoids with a magnetic flux that is a fraction of the flux quantum. In a potential experimental realization of the model, there should be a mechanism fixing the flux in all solenoid probes to an identical value for these perturbations to represent synthetic anyons. We find analytically and numerically the ground state of the model when only the lowest Landau-level states are occupied. We calculate the statistical parameter by using the Berry phase, and show that the ground state is anyonic in the coordinates of the probes. We show that these synthetic anyons cannot be considered as emergent quasiparticles. The fusion rules are discussed for different microscopic realizations of the fusion process.
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review B (condensed matter and materials physics)
Numberingvol. 101, no. 11, pp. 1-10
p-ISSN2469-9950
e-ISSN2469-9969
DOIhttps://doi.org/10.1103/physrevb.101.115139
URN:NBNurn:nbn:hr:237:196720
Publication2020
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-04 11:17:08