Partial equilibration of anti-Pfaffian edge modes at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>5</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>
Hamed Asasi, Michael Mulligan
Abstract
The recent thermal Hall conductance measurement of $K\ensuremath{\approx}2.5{\ensuremath{\pi}}^{2}\phantom{\rule{0}{0ex}}{k}_{B}\phantom{\rule{0}{0ex}}T/3h$ of the $\ensuremath{\nu}=5/2$ quantum Hall state provides strong evidence for the realization of a topological ground state whose quasiparticles exhibit non-Abelian statistics. However, the precise identity of the state depends on the degree of edge-mode equilibration. Here, the authors show that in the limit of strong Coulomb interaction and approximate spin degeneracy, the anti-Pfaffian state admits low-temperature edge phases that exhibit fully equilibrated electrical transport coexisting with partially equilibrated thermal transport, consistent with current experimental measurements.