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Helicity -- from Clifford to Graphene

Boehmer, CG; Corpe, L; (2012) Helicity -- from Clifford to Graphene. Journal of Physics A: Mathematical and Theoretical , 45 205206 - ?. 10.1088/1751-8113/45/20/205206.

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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.

Type: Article
Title: Helicity -- from Clifford to Graphene
DOI: 10.1088/1751-8113/45/20/205206
Publisher version: http://dx.doi.org/10.1088/1751-8113/45/20/205206
Additional information: 13 pages
Keywords: math-ph, math-ph, cond-mat.mes-hall, cond-mat.mtrl-sci, math.MP
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/1345806
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