Thumbnail
Access Restriction
Open

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


Open content in new tab

   Open content in new tab