The dispersion law of plasmons running along thin wires with radius a is known to be practically linear. We show that in wires with a dielectric constant much larger than that of its environment , such dispersion law crosses over to a dispersionless three-dimensional-like law when the plasmon wavelength becomes shorter than the length at which the electric field lines of a point charge exit from the wire to the environment. This happens both in trivial semiconductor wires and wires of three-dimensional topological insulators.
Plasmons in semiconductor and topological insulator wires with large dielectric constant
Fiz. Nizk. Temp. 48, 529–534 (June 2022)
Yi Huang, Chao-Hsiang Sheu, B. I. Shklovskii; Plasmons in semiconductor and topological insulator wires with large dielectric constant. Low Temp. Phys. 1 June 2022; 48 (6): 470–475. https://doi.org/10.1063/10.0010442
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