Search for free non-Abelian anyons in paired composite-fermion states
Abstract
The even-denominator fractional quantum Hall (FQH) states, understood as topological superconductors of composite fermions, are predicted to support elementary quasiparticles (QPs) or quasiholes (QHs) obeying non-Abelian braid statistics. Using the microscopic framework of parton theory, we investigate many experimentally observed paired composite-fermion states and find that their elementary QPs and QHs in general bind to form Abelian molecules, thus obscuring non-Abelian braid statistics. An exception is the ν=1/2 state in wide quantum wells, where our calculations show free QPs or QHs; we thus identify this state as an especially promising candidate for realizing and studying non-Abelian braid statistics. We also indicate how the study of such bound states can help reveal the topological structure of the state.
Related
- The Halperin (111) state as a paired composite-fermion wave function: Two exact finite-size identities on the sphere
- Interferometric braiding of non-Abelian anyons
- Peeling off Abelian Anyons and Proliferation Transitions
- Embedding Paired Free-Fermion Gaussian States into Gutzwiller-Projected Bardeen--Cooper--Schrieffer Wave Functions
- Measurement-induced criticality for non-Abelian anyons: The monitored golden chain
BibTeX
@misc{gattu2026search,
title = {{Search for free non-Abelian anyons in paired composite-fermion states}},
author = {Mytraya Gattu and J. K. Jain},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12645},
eprint = {2610.12645},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12645},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Search for free non-Abelian anyons in paired composite-fermion states
AU - Mytraya Gattu
AU - J. K. Jain
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12645
UR - https://arxiv.org/abs/2610.12645
AB - The even-denominator fractional quantum Hall (FQH) states, understood as topological superconductors of composite fermions, are predicted to support elementary quasiparticles (QPs) or quasiholes (QHs) obeying non-Abelian braid statistics. Using the microscopic framework of parton theory, we investigate many experimentally observed paired composite-fermion states and find that their elementary QPs and QHs in general bind to form Abelian molecules, thus obscuring non-Abelian braid statistics. An exception is the ν=1/2 state in wide quantum wells, where our calculations show free QPs or QHs; we thus identify this state as an especially promising candidate for realizing and studying non-Abelian braid statistics. We also indicate how the study of such bound states can help reveal the topological structure of the state.
ER -