Helicity -- from Clifford to Graphene

Abstract

We investigate two seemingly disjoint definitions of helicity, one commonly used in particle physics, the other one used when studying bilinear covariants of Clifford algebras. We can prove that the `mathematical' definition of helicity implies its `physical' counterpart. As an unexpected application of our result we show that the Hamiltonian describing the one-layer superconductor Graphene is proportional to the trace of an operator that is used in the `mathematical' definition of helicity.

13 pages

References in corpus (4)

• Properties of Graphene: A Theoretical Perspective
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
• From Dirac spinor fields to ELKO

Cited by in corpus (6)

• Flag-Dipole Spinor Fields in ESK Gravities
• Unfolding Physics from the Algebraic Classification of Spinor Fields
• Revealing how different spinors can be: the Lounesto spinor classification
• The connection between Dirac dynamic and parity symmetry
• An alternative approach concerning Elko spinors and the hidden unitarity
• Spinorial structures, discrete symmetries and some consequences