Quasi-Particle Properties from Tunneling in the
Fractional Quantum Hall State
Iuliana P. Radu,1
J. B. Miller,2
C. M. Marcus,2*
M. A. Kastner,1
L. N. Pfeiffer,3
K. W. West3
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
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
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
state.
1 Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
2 Department of Physics, Harvard University, Cambridge, MA 02138, USA.
3 Bell Laboratories, Alcatel-Lucent Technologies, Murray Hill, NJ 07974, USA.
* To whom correspondence should be addressed. E-mail: marcus{at}harvard.edu