How an incorrect transition from finite to infinite 2D conductor may result in a false negative relaxation

2017/05/15 by K. É. Nagaev, Nagaev, K. E.
Engineering · Materials Science · Physics and Astronomy · #Advancements in Photolithography Techniques #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.1705.05155

openalex publication_date 2017/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the relaxation of a uniform current in a planar 2D conductor with account taken of electromagnetic retardation effects. If the 2D conductivity is larger than the speed of light, the straightforward solution for an infinite plane gives a negative relaxation rate. However if one starts from a conducting cylinder of finite radius and then increases it to infinity, the relaxation rate just tends to zero while remaining positive. We suggest that recent unusual plasmon-dispersion curves obtained by V. A. Volkov and A. A. Zabolotnykh [arXiv:1605.00430] result from the incorrect finite-to-infinite transition.

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