English

Isolated Ballistic Non-Abelian Interface Channel

Mesoscale and Nanoscale Physics 2022-10-05 v2 Strongly Correlated Electrons Quantum Physics

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 ν\nu=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 ν\nu=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 ν\nu=5/2 state by interfacing the state with integer states, ν\nu=2 & ν\nu=3 (1). The electrical conductance of the isolated interface channel was 0.5e2^2/h, as expected. More importantly, we find a thermal conductance of 0.5κ0\kappa_0T (with κ0\kappa_0=π2kB2\pi^2k_B^2/3h), confirming unambiguously the non-abelian nature of the ν\nu=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.

Keywords

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

R2 v1 2026-06-24T06:14:50.948Z