Thermal Properties of Graphene Via Dirac Oscillator Model Under Doubly Special Relativity Framework
Boumali A. Jafari N.
April 2026Springer
Journal of Low Temperature Physics
2026#222Issue 2
This work investigates the electronic and thermodynamic properties of graphene within the framework of Doubly Special Relativity (DSR), emphasizing its role as an effective analog platform for analyzing modified dispersion relations. By incorporating the Dirac oscillator (DO) interaction and utilizing an energy-dependent effective mass for charge carriers in a magnetic field, we analyze how Planck-scale inspired deformations modify the energy spectrum and thermodynamic observables. We compare two structurally distinct DSR implementations: the Amelino–Camelia (AC) and Magueijo–Smolin (MS) models. Our results demonstrate that while the AC framework introduces significant nonlinear corrections and particle–antiparticle branch bifurcation, the MS corrections are strongly suppressed for massless carriers near the Dirac point. We establish a mapping to the Jaynes–Cummings (JC) and anti-Jaynes–Cummings (AJC) models, providing a bridge to quantum optical interpretation and trapped-ion simulations. While direct Planck-scale observations remain beyond current experimental reach, this study provides a controlled sensitivity analysis of how deformed kinematics propagate into solvable Dirac spectra within engineered analog gravity platforms.
03.65.Pm , 04.60.-m , 65.80.Ck , 73.22.Pr , Amelino–Camelia model , Dirac oscillator , Doubly Special Relativity , Energy spectrum , Graphene , Magueijo–Smolin model , Thermal properties
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Laboratory of Theoretical and Applied Physics, Echahid Cheikh Larbi Tebessi University, Tebessa, Algeria
Fesenkov Astrophysical Institute, Almaty, 050020, Kazakhstan
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Laboratory of Theoretical and Applied Physics
Fesenkov Astrophysical Institute
Al-Farabi Kazakh National University
Center for Theoretical Physics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026