1. The electronic properties of graphene nanoribbons and the offset logarithm function
- Author
-
Sree Ram Valluri, Ken Roberts, L. Prabhat Reddy, Najeh Jisrawi, Sibibalan Jeevanandam, Aude Maignan, Pranawa C. Deshmukh, Calcul Algébrique et Symbolique, Sécurité, Systèmes Complexes, Codes et Cryptologie (CASC), Laboratoire Jean Kuntzmann (LJK), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA), Indian Institute of Technology Tirupati (IITT), Department of Physics, Dayananda Sagar University, Hossur Road, Bengaluru 560114, India, Physics and Astronomy Department, The University of Western Ontario (UWO), and University of Western Ontario (UWO)
- Subjects
Logarithm ,02 engineering and technology ,01 natural sciences ,symbols.namesake ,[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] ,Lambert W function ,0103 physical sciences ,Generalized Lambert W function ,Dirac equation ,Eigenvalues and eigenvectors ,010302 applied physics ,Physics ,Quantum finite square well ,Condensed matter physics ,Graphene nanoribbons ,Function (mathematics) ,2D materials ,021001 nanoscience & nanotechnology ,Eigenvalue equations ,Massless particle ,Zigzag ,[PHYS.COND.CM-MS]Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci] ,symbols ,0210 nano-technology - Abstract
International audience; Graphene Nanoribbons (GN), being an important class of next-generation carbon materials, are of immense interest and find innumerable applications in diverse fields. A variation of the generalized Lambert W function, called the Offset Logarithm function, has been found to have important applications in fields such as physics, engineering and nanotechnology. We study the electronic properties of zigzag GN and use the generalized Lambert W function to study the eigenvalue equations of the massless Dirac equation applied to zigzag GN. We have studied the effects of nanoribbon width and determined the parameters that significantly affect the obtained solutions.
- Published
- 2022