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Algebra of Majorana Doubling

2013/07/31 by Jaehoon Lee, Frank Wilczek · 1 citation
Physics and Astronomy · #cond-mat.supr-con #cond-mat.mes-hall #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevlett.111.226402

published as Phys. Rev. Lett. 111, 226402 (2013) · 4 pages v2: minor changes, added reference; published version

arxiv created 2014/01/08 · arxiv updated 2014/01/09

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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