Isolated Ballistic Non-Abelian Interface Channel
Abstract
Non-abelian anyons are prospective candidates for fault-tolerant topological quantum computation due to their long-range entanglement. Curiously these quasiparticles are charge-neutral, hence elusive to most conventional measurement techniques. A proposed host of such quasiparticles is the =5/2 quantum Hall state. The gapless edge modes can provide the topological order of the state, which in turn identifies the chirality of the non-abelian mode. Since the =5/2 state hosts a variety of edge modes (integer, fractional, neutral), a robust technique is needed to isolate the fractional channel while retaining its original non-abelian character. Moreover, a single non-abelian channel can be easily manipulated to interfere, thus revealing the state's immunity to decoherence. In this work, we exploit a novel approach to gap-out the integer modes of the =5/2 state by interfacing the state with integer states, =2 & =3 (1). The electrical conductance of the isolated interface channel was 0.5e/h, as expected. More importantly, we find a thermal conductance of 0.5T (with =/3h), confirming unambiguously the non-abelian nature of the =1/2 interface channel and its Particle-Hole Pfaffian topological order. Our result opens new avenues to manipulate and test other exotic QHE states and braid, via interference, the isolated fractional channels.
Cite
@article{arxiv.2109.11205,
title = {Isolated Ballistic Non-Abelian Interface Channel},
author = {Bivas Dutta and Vladimir Umansky and Mitali Banerjee and Moty Heiblum},
journal= {arXiv preprint arXiv:2109.11205},
year = {2022}
}
Comments
20 pages, 4 main figures