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

Eytan Grosfeld·Ady Stern
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Abstract

The Moore-Read Pfaffian $ν=5/2$ quantum Hall state is a p-wave super-conductor of composite fermions. Small deviations from $ν=5/2$ 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 $ω$. We find a mechanism for dissipative transport at frequencies below the $ν=5/2$ gap, and calculate the ${\bf q},ω$ dependence of the dissipative conductivity. The contributions we find depend exponentially on $|ν-5/2|^{-1/2}$.

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Eytan Grosfeld, Ady Stern. 2005-11-28. Electronic transport in an array of quasi-particles in the nu=5/2 non-abelian quantum Hall state. https://doi.org/10.1103/physrevb.73.201303

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