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, 101 (2020), 11; 115139. https://doi.org/10.1103/physrevb.101.115139
Lunić, Frane; Todorić, Marija; Klajn, Bruno; Dubček, Tena; Jukić, Dario; Buljan, Hrvoje

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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, 101. (11). 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, vol. 101, no. 11, 2020. 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 101, no. 11 (2020). 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, 101(11). 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 [Internet]. 2020 [cited 2024 November 18];101(11). 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, vol. 101, no. 11, 2020. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:467850. [Accessed: 18 November 2024]

Metadata
Title (english)Exact solutions of a model for synthetic anyons in a noninteracting system
AuthorFrane Lunić
MBZ: 378684
AuthorMarija Todorić
MBZ: 359725
AuthorBruno Klajn
MBZ: 326805
AuthorTena Dubček
MBZ: 343242
AuthorDario Jukić
MBZ: 311086
AuthorHrvoje Buljan
MBZ: 226795
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
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.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review B
Numberingvol. 101, no. 11, 115139
p-ISSN2469-9950
e-ISSN2469-9969
DOIhttps://doi.org/10.1103/physrevb.101.115139
URN:NBNurn:nbn:hr:217:467850
Publication2020
ProjectNumber: IP-2016-06-5885
Title (croatian): Sintetička magnetska polja uz međudjelovanja i anyoni
Acronym: SynthMagIA
Leader: Hrvoje Buljan
Jurisdiction: Croatia
Funding stream: IP
ProjectNumber: KK.01.1.1.01.0004
Title (croatian): Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri
Acronym: ZCI QuantiXLie
Leader: Hrvoje Buljan
Jurisdiction: Croatia
Funding stream: ZC
Document URLhttps://journals.aps.org/prb/abstract/10.1103/PhysRevB.101.115139
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public note© 2020 American Physical Society. Received 19 July 2019; revised manuscript received 7 January 2020; accepted 5 March 2020; published 20 March 2020.
Created on2020-09-19 18:41:32