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Birotons and ‘dark hierarchies’ in fractional quantum Hall effect
- Authors: Kulik L.V.1, Ваньков А.2
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Affiliations:
- Institute of Solid-State Physics of the Russian Academy of Sciences
- Федеральное государственное бюджетное учреждение науки Институт физики твердого тела имени Ю.А. Осипьяна Российской академии наук
- Issue: Vol 87, No 2 (2023)
- Pages: 163-166
- Section: Articles
- URL: https://rjsvd.com/0367-6765/article/view/654471
- DOI: https://doi.org/10.31857/S0367676522700302
- EDN: https://elibrary.ru/ADTYMG
- ID: 654471
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Abstract
A computational scheme has been developed to determine the energies of neutral excitations in fractional states of the quantum Hall effect. The fractional states are brought into a general hierarchical system (Farey-number hierarchy structure). It is shown that in addition to the well-known hierarchy of fractional states (Laughlin–Jane), there are other ‘dark hierarchies’ of fractional quantum Hall effect that are not observed experimentally in the most highly mobile samples but can have a significant impact on the thermodynamics and spectral characteristics of fractional quantum Hall effect states. The connection of the ‘dark hierarchies’ of fractional quantum Hall effect with the existing experimental data is considered.
About the authors
L. V. Kulik
Institute of Solid-State Physics of the Russian Academy of Sciences
Author for correspondence.
Email: kulik@issp.ac.ru
Russia, 142432, Chernogolovka
А. Ваньков
Федеральное государственное бюджетное учреждение наукиИнститут физики твердого тела имени Ю.А. Осипьяна Российской академии наук
Email: kulik@issp.ac.ru
Россия, Черноголовка
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