Fizika Nizkikh Temperatur: Volume 48, Number 6 (June 2022), p. 529-534    ( to contents , go back )

Plasmons in semiconductor and topological insulator wires with large dielectric constant

Yi Huang, Chao-Hsiang Sheu, and B. I. Shklovskii

School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
E-mail: huan1756@umn.edu
pos Анотація:964

Received February 9, 2022, published online April 25, 2022

Abstract

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 κ much larger than that of its environment κe, such dispersion law crosses over to a dispersionless three-dimensional-like law when the plasmon wavelength becomes shorter than the length (a/2)√ ̅κ̅/̅κ̅e̅l̅n̅(̅κ̅/̅2̅κ̅e̅)̅ 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.

Key words: plasmon dispersion law, dielectric constant, semiconductor and topological insulator wires.

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