https://doi.org/10.1140/epjb/s10051-026-01193-4
Research - Condensed Matter
Thermodynamic signatures of lthe Aharonov–Bohm effect in monolayer and bilayer graphene rings
1
Department of Process Engineering, University of Constantine 3 -Salah Boubnider, 25016, Constantine, Algeria
2
Theoretical Physics Laboratory, Department of Physics,University of Jijel, Jijel, Algeria
a
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Received:
24
March
2026
Accepted:
25
May
2026
Published online:
24
June
2026
Abstract
We develop a thermodynamic theory of the Aharonov–Bohm effect in monolayer and bilayer graphene rings based on a regularized grand canonical formalism. We show that the distinct band structures produce qualitatively different responses: monolayer graphene exhibits multi-harmonic persistent currents with slow algebraic decay, while bilayer graphene is dominated by a single harmonic due to rapid suppression of higher-order contributions. These differences persist at finite temperature and are reflected in the heat capacity, which is linear in temperature for monolayer and exhibits a Schottky-like feature for bilayer. Our results establish thermodynamic measurements as a direct probe of band structure and quasiparticle dynamics in graphene nanostructures.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
