Abstract
It is shown that the Fermi velocity of electrons is a natural characteristic of gapless graphene and cumulene modification of carbyne weakly coupled with the substrate. At the same time, in the presence of gap (graphene with a gap and polyyne modification of carbyne), the corresponding characteristic is the effective electron mass. The corresponding analytical estimations have been performed.
Similar content being viewed by others
REFERENCES
A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
Z. Z. Alisultanov, Tech. Phys. Lett. 39, 597 (2013).
S. Yu. Davydov, Phys. Solid State 56, 885 (2014).
S. Yu. Davydov, A. A. Lebedev, and O. V. Posrednik, An Elementary Introduction to the Theory of Nanosystems (Lan’, St. Petersburg, 2014) [in Russian].
C. Persson and U. Lindefelt, Mater. Sci. Forum 264–268, 275 (1998).
S. Yu. Davydov, Semiconductors 48, 46 (2014).
S. Yu. Davydov, Semiconductors 41, 696 (2007).
J.-H. Kim, J. H. Hwang, J. Suh, S. Tongay, S. Kwon, C. C. Hwang, J. Wu, and J. Y. Park, Appl. Phys. Lett. 103, 171604 (2013).
F. Banhart, J. Nanotechnol. 6, 559 (2015).
L. Shi, P. Rohringer, M. Wanko, A. Rubio, S. Waserroth, S. Reich, S. Cambre, W. Wenseleers, P. Ayala, and T. Pichler, Phys. Rev. Mater. 1, 075601 (2017); arXiv: 1705.02259.
S. Yu. Davydov, Semiconductors 53 (2019, in press).
S. Tongay, R. T. Senger, S. Dag, and S. Ciraci, Phys. Rev. Lett. 93, 136404 (2004).
W. A. Harrison, Phys. Rev. B 27, 3592 (1983).
D. C. Elias, R. V. Gorbachev, A. S. Mayorov, S. V. Morozov, A. A. Zhukov, P. Blake, L. A. Ponomarenko, I. V. Grigorieva, K. S. Novoselov, F. Guinea, and A. K. Geim, Nat. Phys. 7, 701 (2011).
C. Hwang, D. A. Siegel, S.-K. Mo, W. Regan, A. Ismach, Y. Zhang, A. Zettl, and A. Lanzara, Sci. Rep. 2, 590 (2012).
D. A. Siegel, W. Regan, A. V. Fedorov, A. Zettl, and A. Lanzara, Phys. Rev. Lett. 110, 146802 (2013).
T. Stauber, P. Parida, M. Trushin, M. V. Ulybyshev, D. L. Boyda, and J. Schliemann, Phys. Rev. Lett. 118, 266801 (2017).
S. Yu. Davydov, Phys. Solid State 59, 1674 (2017).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by A. Sin’kov
Rights and permissions
About this article
Cite this article
Davydov, S.Y. Estimations of the Fermi Velocity and Effective Mass in Epitaxial Graphene and Carbyne. Tech. Phys. Lett. 45, 650–652 (2019). https://doi.org/10.1134/S1063785019070058
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785019070058