The Minimal Conductivity of Graphene Caused by the Effective Attenuation of Charge Carriers Due to the Schrödinger’s ‘Zitterbewegung’ Effect

M. A. Ruvinskii, O. B. Kostyuk

Vasyl Stefanyk Precarpathian National University, 57 Shevchenko Str., 76018 Ivano-Frankivsk, Ukraine

Received: 08.09.2015; final version - 26.10.2015. Download: PDF

Based on the kinetic equation with effective attenuation caused by the relativistic quantum effect of ‘Zitterbewegung’, the minimal conductivity in graphene monolayer is determined. The relativistic quantum effect considered as a peculiar type of interband electronic transition with the formation of virtual electron—hole pair, which occurs under the usual intraband transition, is investigated. The result for the minimal conductivity is confirmed by the experimental data and coincides with the expression $4e^{2}/\pi\hbar$ obtained theoretically by another method (within the Landauer’s formulation).

Key words: graphene monolayer, minimal conductivity, Schrödinger’s ‘Zitterbewegung’ effect.



PACS: 03.65.Pm, 72.80.Vp, 73.23.-b, 73.25.+i, 73.50.Bk, 73.50.Gr

Citation: M. A. Ruvinskii and O. B. Kostyuk, The Minimal Conductivity of Graphene Caused by the Effective Attenuation of Charge Carriers Due to the Schrödinger’s ‘Zitterbewegung’ Effect, Metallofiz. Noveishie Tekhnol., 37, No. 12: 1725—1731 (2015) (in Ukrainian)

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