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 κ e, such dispersion law crosses over to a dispersionless three-dimensional-like law when the plasmon wavelength becomes shorter than the length (a / 2) (κ / κ e) ln (κ / 2 κ e) 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.
|Original language||English (US)|
|Number of pages||6|
|Journal||Low Temperature Physics|
|State||Published - Jun 1 2022|
Bibliographical noteFunding Information:
We are grateful to A. Chaplik, M. Entin, M. Fogler, A. McLeod, and B. Skinner for reading the manuscript and useful comments. Y. H. was partially supported by the William I. Fine Theoretical Physics Institute.
© 2022 Author(s).