%0 Journal Article
%T Electronic Properties of Curved Few-Layers Graphene: A Geometrical Approach
%A Andrea Perali
%A Marco Cariglia
%A Roberto Giamb¨°
%J Condensed Matter | An Open Access Journal from MDPI
%D 2018
%R https://doi.org/10.3390/condmat3020011
%X Abstract We show the presence of non-relativistic L¨¦vy-Leblond fermions in flat three- and four-layers graphene with AB stacking, extending the results obtained in Cariglia et al. 2017 for bilayer graphene. When the layer is curved we obtain a set of equations for Galilean fermions that are a variation of those of L¨¦vy-Leblond with a well defined combination of pseudospin, and that admit L¨¦vy-Leblond spinors as solutions in an approriate limit. The local energy of such Galilean fermions is sensitive to the intrinsic curvature of the surface. We discuss the relationship between two-dimensional pseudospin, labelling layer degrees of freedom, and the different energy bands. For L¨¦vy-Leblond fermions, an interpretation is given in terms of massless fermions in an effective 4D spacetime, and in this case the pseudospin is related to four dimensional chirality. A non-zero energy band gap between conduction and valence electronic bands is obtained for surfaces with positive curvature. View Full-Tex
%K few-layers graphene
%K L¨¦vy-Leblond equations
%K non-relativistic fermions
%K Eisenhart lift
%K curved systems
%U https://www.mdpi.com/2410-3896/3/2/11