Electronic transport in an array of quasi-particles in the nu=5/2 non-abelian quantum Hall state

Details Electronic transport in an array of quasi-particles in the nu=5/2 non-abelian quantum Hall state Electronic transport in an array of quasi-particles in the nu=5/2 non-abelian quantum Hall state

2005-11-28

arxiv.org/abs/cond-mat/0511670v1

Phys. Rev. B 73, 201303(R) (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevB.73.201303

The Moore-Read Pfaffian $\nu=5/2$ quantum Hall state is a p-wave super-conductor of composite fermions. Small deviations from $\nu=5/2$ result in the formation of an array of vortices within this super-conductor, each supporting a Majorana zero mode near its core. Here we consider how tunneling between these cores is reflected in the electronic response to an electric field of non-zero wave vector $\bf q$ and frequency $\omega$. We find a mechanism for dissipative transport at frequencies below the $\nu=5/2$ gap, and calculate the ${\bf q},\omega$ dependence of the dissipative conductivity. The contributions we find depend exponentially on $|\nu-5/2|^{-1/2}$.

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