Abstract
Based on the density functional theory approach we explore the chances endured by energy gap (EG) of semiconducting (armchair) graphene nanoribbons (AGNRs) when Stone-Wales (SW) defects are placed inside their lattices. Our results show that the AGNRs, which belong to the \(3\hbox {m} + 2\) family experience an increase in their EG value. On the other hand, those belonging to 3m and \(3\hbox {m} + 1\) families experience decrease in their EG. The maximum observed EG for pristine and distorted ribbons were \(\sim \)2.6 and \(\sim \)1.6 eV, respectively. Our results can be useful to understand the semiconducting properties of wider graphene nanoribbons which are already available experimentally.
Similar content being viewed by others
References
Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V., Firsov, A.A.: Electric field effect in atomically thin carbon films, 5696. Nature 306, 666–669 (2004)
Jin, M., Jeong, H.K., Yu, W.J., Bae, D.J., Kang, B.R., Lee, Y.H.: Graphene oxide thin film field effect transistors without reduction. J. Phys. D Appl. Phys. 42, 135109 (2009)
Lemme, M. C., Echtermeyer, T.J., Baus, M., Kurz, H.: A graphene field-effect device. arXiv:cond-mat/0703208 (2007)
Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Katsnelson, M.I., Grigorieva, I.V., Dubonos, S.V., Firsov, A.A.: Two Dimensional Gas Massless Dirac Fermions Graphene 438, 197–200 (2005)
Bolotin, K.I., Sikes, K.J., Jiang, Z., Klima, M., Fudenberg, G., Hone, J., Kim, P., Stormer, H.L.: Ultrahigh electron mobility in suspended graphene. Solid State Commun. 146, 351–355 (2008)
Hong, W., Xu, Y., Lu, G., Li, C., Shi, G.: Transparent graphene/PEDOT-PSS composite films as counter electrodes of dye-sensitized solar cells. Electrochem. Commun. 10, 1555–1558 (2008)
Capone, F., Gentile, M., Hill, A.A.: Penetrative convection in a fluid layer with throughflow. Ricerche di Matematica 57(2), 251–260 (2008)
Cimatti, G.: A class of explicit solutions for the Soret-Dufour boundary value problem in arbitrary domains. Ricerche di Matematica 59(2), 199–205 (2010)
Haddad, S.A.M., Straughan, B.: Porous convection and thermal oscillations. Ricerche di Matematica 61(2), 307–320 (2012)
Lu, Y.H., Wu, R.Q., Shen, L., Yang, M., Sha, Z.D., Cai, Y.Q., He, P.M., Feng, Y.P.: Effects of edge passivation by hydrogen on electronic structure of armchair graphene nanoribbon and band gap engineering. Appl. Phys. Lett. 94, 122111 (2009)
Xia, F., Farmer, D.B., Lin, Y., Avouris, P.: Graphene field-effect transistors with high on/off current ratio and large transport band gap at room temperature. Nano lett. 10, 715–718 (2010)
Allen, M.J., Tung, V.C., Kaner, R.B.: Honeycomb carbon: a review of graphene. Chem. Rev. 110, 132–145 (2009)
Cooper, D.R. D’Anjou, B., Ghattamaneni, N., Harack, B., Hilke, M., Horth, A., Majlis, N., Massicotte, M., Vandsburger, L., Whiteway, E.: Experimental review of graphene, ISRN Condensed Matter Physics, 2012 (2012)
Raza, H., Kan, E.C.: Field modulation in bilayer graphene band structure. J. Phys. Condensed Matter 21, 102202 (2009)
Boukhvalov, D.W., Katsnelson, M.I.: Chemical functionalization of graphene. J. Phys. Condensed Matter 21, 34 (2009)
Barone, V., Hod, O., Scuseria, G.E.: Electronic structure and stability of semiconducting graphene nanoribbons. Nano Lett. 6, 2748–2754 (2006)
Kan, E., Yang, J., Li, Z.: Graphene nanoribbons: geometric, electronic, and magnetic Properties. In: Physics and Applications of Graphene, pp. 331–348. Intech (2011)
Son, Y.W., Cohen, M.L., Louie, S.G.: Energy gaps in graphene nanoribbons. Phys. Rev. Lett. 97, 216803 (2006)
Strumia, A.: Waves, particles and fields: an explicitly covariant approach. Ricerche di Matematica 62(1), 1–17 (2013)
Banhart, F., Kotakoski, J., Krasheninnikov, A.V.: Structural defects in graphene. ACS Nano 5, 26–41 (2010)
Rodrigues, J.N.B., Gonçalves, P.A.D., Rodrigues, N.F.G., Ribeiro, R.M., Lopez dos Santos, J.M.B., Peres, N.M.R.: Zigzag graphene nanoribbon edge reconstruction with Stone-Wales defects. Phys. Rev. B 84, 55435 (2011)
Lu, P., Zhang, Z., Guo, W.: Electronic and magnetic properties of zigzag edge graphene nanoribbons with Stone-Wales defects. Phys. Lett. A 373, 3354–3358 (2009)
Jacobberger, R. M., Kiraly, B., Fortin-Deschenes, M., Levesque, P. L., McElhinny, K. M., Brady, G. J. Delgado, R. R., Roy, S. S., Mannix, A., Lagally, M. G.: Direct oriented growth of armchair graphene nanoribbons on germanium, Nature communications, 6 (2015)
Kresse, G., Furthmüller, J.: Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996)
Perdew, J.P., Burke, K., Ernzerhof, M.: Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996)
Wang, G.: Effect Edge Hydrogen Passivation Saturation Carrier Mob. Armchair Graphene Nanoribbons 533, 74–77 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Villamagua, L., Carini, M., Stashans, A. et al. Band gap engineering of graphene through quantum confinement and edge distortions. Ricerche mat 65, 579–584 (2016). https://doi.org/10.1007/s11587-016-0278-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11587-016-0278-8