Quantum Hydrodynamic Study of Electron Electrostatic Waves in Single-Walled Carbon Nanotubes | ||
| Progress in Physics of Applied Materials | ||
| دوره 6، شماره 4 - شماره پیاپی 13، زمستان 2026، صفحه 265-271 اصل مقاله (956.65 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22075/ppam.2026.39657.1185 | ||
| نویسندگان | ||
| Davood Mohammadi1؛ Mahmoud Jafari* 1؛ Alireza Mohaghegh Hazrati1؛ Hamze Mousavi2 | ||
| 1Department of Physics, K. N. Toosi University of Technology, Tehran, Iran | ||
| 2Department of Physics, Razi University, Kermanshah, Iran | ||
| چکیده | ||
| This study presents a comprehensive theoretical investigation of electron electrostatic (plasmon) wave propagation in single-walled carbon nanotubes (SWCNTs) using an advanced quantum hydrodynamic (QHD) framework. We develop a sophisticated model that rigorously incorporates essential quantum mechanical effects, including the Bohm potential (accounting for electron tunneling phenomena) and Fermi pressure (arising from electron degeneracy). Through systematic linearization of the QHD equations coupled with Poisson’s equation, we derive a generalized dispersion relation that accurately describes plasmon behavior across different wavelength regimes. Our analysis reveals the existence of highly tunable plasmon resonances in SWCNTs, with frequencies spanning from the terahertz to the near-infrared range; this broad tunability makes them potentially relevant for optoelectronic and plasmonic applications. The plasmonic characteristics exhibit exquisite sensitivity to fundamental parameters such as nanotube radius, electron density, doping levels, and the surrounding dielectric environment. Notably, we identify a critical transition wavevector (𝑘𝑐≈0.1 /nm) where quantum effects become dominant, fundamentally altering the plasmon dispersion. The theoretical predictions show good consistency with experimentally reported plasmon energies and propagation lengths. Furthermore, we provide a detailed analysis of damping mechanisms and propagation characteristics, estimating room-temperature propagation lengths of approximately 100 nm, with significant enhancement at cryogenic temperatures. This work establishes a robust theoretical foundation for understanding and engineering quantum plasmonic excitations in low-dimensional carbon-based materials, with substantial implications for next-generation nano-optoelectronic devices, quantum sensors, and advanced photonic systems. | ||
| کلیدواژهها | ||
| Single-walled carbon nanotubes؛ Quantum hydrodynamic model؛ Plasmons | ||
| مراجع | ||
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