Non-abelian Majoranas and braiding in inhomogeneous spin ladders

Details Non-abelian Majoranas and braiding in inhomogeneous spin ladders Non-abelian Majoranas and braiding in inhomogeneous spin ladders

2012-04-13

arxiv.org/abs/1204.3044v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We propose an inhomogeneous open spin ladder, related to the Kitaev honeycomb model, which can be tuned between topological and non-topological phases. In extension of Lieb's theorem, we show numerically that the ground state of the spin ladder is either vortex-free or vortex-full. At the phase-boundaries single Majorana states emerge which are proven to be robust against local perturbations and to obey non-abelian braiding statistics. We show that a network of such spin ladders provides a promising platform for topological quantum computing.

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