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Crystals
Volume 15
Issue 11
10.3390/cryst15110985
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Article

Plasmon Dispersion in Two-Dimensional Systems with Non-Coulomb Interaction

by
Levente Máthé
1,*,
Ilinca Lianu
2,
Adrian Calborean
1 and
Ioan Grosu
2
1
National Institute for Research and Development of Isotopic and Molecular Technologies, 67-103 Donat, 400293 Cluj-Napoca, Romania
2
Faculty of Physics, Babeș-Bolyai University, 1 Kogălniceanu, 400084 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
Crystals 2025, 15(11), 985; https://doi.org/10.3390/cryst15110985 (registering DOI)
Submission received: 20 October 2025 / Revised: 10 November 2025 / Accepted: 11 November 2025 / Published: 15 November 2025
(This article belongs to the Special Issue Research on Electrolytes and Energy Storage Materials (2nd Edition))
Versions Notes

Abstract

We theoretically study plasmon dispersion within the random-phase approximation in two-dimensional systems, including undoped and doped monolayer graphene at zero and finite temperatures, and hole- and electron-doped monolayer XSe (X=In,0.16em0exGa) and disordered two-dimensional electron gas at zero temperature, in the presence of a non-Coulomb interaction of the form ∼r−η. Our findings show that the parameter η, which characterizes the non-Coulombic nature of the interaction, strongly affects the dependence of the plasmon frequency on the wave vector in the long-wavelength limit. Furthermore, the carrier density dependence of the plasmon frequency is unaffected by the parameter η in this regime. For η=1, corresponding to the Coulomb case, the well-known results are fully recovered for all systems studied here.
Keywords: plasmon dispersion; two-dimensional systems; monolayer graphene; monolayer X Se (X= In , Ga ); disordered two-dimensional electron gas; non-Coulomb interaction plasmon dispersion; two-dimensional systems; monolayer graphene; monolayer X Se (X= In , Ga ); disordered two-dimensional electron gas; non-Coulomb interaction

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MDPI and ACS Style

Máthé, L.; Lianu, I.; Calborean, A.; Grosu, I. Plasmon Dispersion in Two-Dimensional Systems with Non-Coulomb Interaction. Crystals 2025, 15, 985. https://doi.org/10.3390/cryst15110985

AMA Style

Máthé L, Lianu I, Calborean A, Grosu I. Plasmon Dispersion in Two-Dimensional Systems with Non-Coulomb Interaction. Crystals. 2025; 15(11):985. https://doi.org/10.3390/cryst15110985

Chicago/Turabian Style

Máthé, Levente, Ilinca Lianu, Adrian Calborean, and Ioan Grosu. 2025. "Plasmon Dispersion in Two-Dimensional Systems with Non-Coulomb Interaction" Crystals 15, no. 11: 985. https://doi.org/10.3390/cryst15110985

APA Style

Máthé, L., Lianu, I., Calborean, A., & Grosu, I. (2025). Plasmon Dispersion in Two-Dimensional Systems with Non-Coulomb Interaction. Crystals, 15(11), 985. https://doi.org/10.3390/cryst15110985

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