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Birotons and 'Dark' Quantum Hall Hierarchies

التفاصيل البيبلوغرافية
العنوان: Birotons and 'Dark' Quantum Hall Hierarchies
المؤلفون: Oleg A. Grigorev, Liliya I. Musina, Alexander B. Van’kov, Oleg V. Volkov, Leonid V. Kulik
المصدر: Applied Sciences, Vol 12, Iss 15, p 7940 (2022)
بيانات النشر: MDPI AG, 2022.
سنة النشر: 2022
المجموعة: LCC:Technology
LCC:Engineering (General). Civil engineering (General)
LCC:Biology (General)
LCC:Physics
LCC:Chemistry
مصطلحات موضوعية: fractional quantum Hall effect, exact diagonalization, Farey series, Technology, Engineering (General). Civil engineering (General), TA1-2040, Biology (General), QH301-705.5, Physics, QC1-999, Chemistry, QD1-999
الوصف: A computational scheme is suggested to estimate neutral excitation energies in the fractional quantum Hall effect (FQHE) states. The FQHE states are systematized according to the Farey-number hierarchy structure. We show that besides the widely known Laughlin–Jain hierarchy of fractional states, there exist other “dark” hierarchies. Although hardly observed in the highest mobility samples, they can significantly affect the thermodynamics and spectral characteristics of the FQHE states. The known problems in the interpretation of the FQHE’s experimental results are explained in terms of the coexistence of two fundamentally different transformations of the electron system, one of which is a neutral excitation in the FQHE state, whereas the other is a transition between two FQHE ground states, one of which represents the Laughlin–Jain FQHE hierarchy and the other a state of “dark” hierarchies.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2076-3417
Relation: https://www.mdpi.com/2076-3417/12/15/7940; https://doaj.org/toc/2076-3417
DOI: 10.3390/app12157940
URL الوصول: https://doaj.org/article/ceef87bf32a146b7ac3f63ee14d850af
رقم الأكسشن: edsdoj.f87bf32a146b7ac3f63ee14d850af
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:20763417
DOI:10.3390/app12157940