Eur. Phys. J. B (2018) 91: 174
https://doi.org/10.1140/epjb/e2018-80389-1

Regular Article

Time-dependent strain in graphene

¹ Department of Metallurgical and Materials Engineering, National Institute of Technology, Srinagar, Kashmir 190006, India
² Department of Physics and Astronomy, College of Science, King Saud Universty, Riyadh 11451, Saudi Arabia
³ Department of Physics, College of Science, Sultan Qaboos University P.O. Box 36, P.C.123, Al-Khowd, Muscat, Sultanate of Oman
⁴ Department of Electronics and Communication Engineering, University of Kashmir, Srinagar, Kashmir 190006, India
⁵ Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB T1K 3M4, Canada
⁶ Irving K. Barber School of Arts and Sciences, University of British Columbia - Okanagan, 3333 University Way, Kelowna, British Columbia V1V 1V7, Canada
⁷ Theoretical Physics Group, Faculty of Sciences, Chouaib Doukkali University, PO Box 20, 24000 El Jadida, Morocco
⁸ Université Clermont Auvergne, 4, Avenue Blaise Pascal, 63178 Aubière Cedex, France

Received: 2 July 2017
Published online: 1 August 2018

Abstract

We will analyse the effect of time-dependent strain on a sheet of graphene by using the field theory approach. It will be demonstrated that in the continuum limit, such a strain will induce a non-abelian gauge field in graphene. We will analyse the effective field theory of such system near the Dirac points and study its topological properties.