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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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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.

Title:Helicity -- from Clifford to Graphene
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

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