Non-equilibrium transport through a point contact in the $\nu=5/2$ non-Abelian quantum Hall stateNon-equilibrium transport through a point contact in the $\nu=5/2$ non-Abelian quantum Hall state

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 Author Feiguin, Adrian ♦ Fendley, Paul ♦ Fisher, Matthew P. A. ♦ Nayak, Chetan Source arXiv.org Content type Text File Format PDF Date of Submission 2008-09-08 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword Condensed Matter - Mesoscale and Nanoscale Physics ♦ physics:cond-mat Abstract We analyze charge-$e/4$ quasiparticle tunneling between the edges of a point contact in a non-Abelian model of the $\nu=5/2$ quantum Hall state. We map this problem to resonant tunneling between attractive Luttinger liquids and use the time-dependent density-matrix renormalization group (DMRG) method to compute the current through the point contact in the presence of a {\it finite voltage difference} between the two edges. We confirm that, as the voltage is decreases, the system is broken into two pieces coupled by electron hopping. In the limits of small and large voltage, we recover the results expected from perturbation theory about the infrared and ultraviolet fixed points. We test our methods by finding the analogous non-equilibrium current through a point contact in a $\nu=1/3$ quantum Hall state, confirming the Bethe ansatz solution of the problem. Description Reference: Phys. Rev. Lett 101 (2008): 236801 Educational Use Research Learning Resource Type Article