Research Article

# Quasi-Particle Properties from Tunneling in the v = 5/2 Fractional Quantum Hall State

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Science  16 May 2008:
Vol. 320, Issue 5878, pp. 899-902
DOI: 10.1126/science.1157560

## Abstract

Quasi-particles with fractional charge and statistics, as well as modified Coulomb interactions, exist in a two-dimensional electron system in the fractional quantum Hall (FQH) regime. Theoretical models of the FQH state at filling fraction $Math$ make the further prediction that the wave function can encode the interchange of two quasi-particles, making this state relevant for topological quantum computing. We show that bias-dependent tunneling across a narrow constriction at $Math$ exhibits temperature scaling and, from fits to the theoretical scaling form, extract values for the effective charge and the interaction parameter of the quasi-particles. Ranges of values obtained are consistent with those predicted by certain models of the $Math$ state.

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