2010/02/28 by Éverton M. C. Abreu, Everton M. C. Abreu, M. A. De Andrade +7 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Abelian group #Computer science #Gauge (firearms) #Gauge theory #Graphene #Graphene research and applications #Hamiltonian lattice gauge theory #Materials science #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Planar #Pure mathematics #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #Topological quantum field theory #cond-mat.mes-hall #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep05(2011)001
12 pages. Preprint format. Final version published in JHEP 1105 (2011) 001
openalex publication_date 2011/05/01 · arxiv created 2014/07/21 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, we focus on the fermionic structure of the low-energy excitations of graphene (a monolayer of carbon atoms) to propose a new supersymmetric field-theoretic model for this physical system. In the current literature, other proposals for describing graphene physics have been contemplated at the level of supersymmetric quantum mechanics. Also, by observing the inhomogeneities between neighbor carbon atoms, Jackiw \it et al. have set up an interesting chiral Abelian gauge theory. We show in this paper that our formulation encompasses models discussed previously as sectors of an actually richer (supersymmetric) planar gauge model. Possible interpretations for the fields involved in the present graphene model are proposed and the question of supersymmetry breaking is discussed.