Single-component twisted ℤ3 orthogonal metal in an e/3-anyon fluid
Abstract
We propose an unconventional metallic phase emerging upon doping the 1/3 Laughlin Fractional Chern insulator, which can serve as a parent state to anyon superconductivity with arbitrary chiral central charge. It is a twisted ℤ3 orthogonal metal: a state with vanishing electron quasiparticle weight but a single well-defined Fermi surface of emergent charge-e/3 fermions coupled to a Dijkgraaf-Witten twisted ℤ3 gauge field. It is manifestly symmetric under the projective action of translations on the three low-energy valleys and is fully gapped in the valley sector. Pairing this fractionalized Fermi surface then removes the topological order and produces a family of superconductors whose chiral central charge is directly set by the BdG band topology of the paired e/3 fermions, while the angular momentum of the physical order parameter is constrained to be a multiple of three. This scenario provides a route to superconducting states beyond anyon-superconductivity constructions based on 2e/3 anyons. The metallic phase itself carries distinctive ``fractional Fermiology'' signatures: e/3 shot noise, anomalous quantum oscillations, and a 6π ac Josephson effect when it mediates the Josephson coupling between superconductors. We construct explicit wavefunction ansatz realizing the phase, and discuss energetics considerations that might favor this state over competing metallic states. We show that the construction extends to higher Laughlin states but not to Jain states.
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BibTeX
@misc{han2026singlecomponent,
title = {{Single-component twisted $\mathbbZ_3$ orthogonal metal in an $e/3$-anyon fluid}},
author = {Zhaoyu Han and Ashvin Vishwanath and Eslam Khalaf},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.15274},
eprint = {2607.15274},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.15274},
}
RIS
TY - UNPB
TI - Single-component twisted ℤ_3 orthogonal metal in an e/3-anyon fluid
AU - Zhaoyu Han
AU - Ashvin Vishwanath
AU - Eslam Khalaf
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2607.15274
UR - https://arxiv.org/abs/2607.15274
AB - We propose an unconventional metallic phase emerging upon doping the 1/3 Laughlin Fractional Chern insulator, which can serve as a parent state to anyon superconductivity with arbitrary chiral central charge. It is a twisted ℤ_3 orthogonal metal: a state with vanishing electron quasiparticle weight but a single well-defined Fermi surface of emergent charge-e/3 fermions coupled to a Dijkgraaf-Witten twisted ℤ_3 gauge field. It is manifestly symmetric under the projective action of translations on the three low-energy valleys and is fully gapped in the valley sector. Pairing this fractionalized Fermi surface then removes the topological order and produces a family of superconductors whose chiral central charge is directly set by the BdG band topology of the paired e/3 fermions, while the angular momentum of the physical order parameter is constrained to be a multiple of three. This scenario provides a route to superconducting states beyond anyon-superconductivity constructions based on 2e/3 anyons. The metallic phase itself carries distinctive ``fractional Fermiology'' signatures: e/3 shot noise, anomalous quantum oscillations, and a 6π ac Josephson effect when it mediates the Josephson coupling between superconductors. We construct explicit wavefunction ansatz realizing the phase, and discuss energetics considerations that might favor this state over competing metallic states. We show that the construction extends to higher Laughlin states but not to Jain states.
ER -