Plasmons in semiconductor and topological insulator wires with large dielectric constant

Yi Huang; Chao Hsiang Sheu; B. I. Shklovskii

doi:10.1063/10.0010442

Plasmons in semiconductor and topological insulator wires with large dielectric constant

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

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

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 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)
Pages (from-to)	470-475
Number of pages	6
Journal	Low Temperature Physics
Volume	48
Issue number	6
DOIs	https://doi.org/10.1063/10.0010442
State	Published - Jun 1 2022

Bibliographical note

Funding 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.

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© 2022 Author(s).

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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 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.",

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N2 - 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.

AB - 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.

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Plasmons in semiconductor and topological insulator wires with large dielectric constant

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