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Algebra of Majorana Doubling (1307.3245v2)
Published 11 Jul 2013 in cond-mat.supr-con, cond-mat.mes-hall, hep-th, and quant-ph
Abstract: Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly non-linear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state.
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