Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: a quantum Monte Carlo study
Abstract
We present a quantum Monte Carlo study of the transition between the insulating Néel state and the nodal d-wave superconductor on the square lattice at half-filling. We access a regime of frustrated magnetic order without a sign problem using a parton representation of the electron in terms of fermionic spinons and bosonic chargons. Both partons move in a background π-flux (so the electron experiences no net flux) and are coupled to a quantum fluctuating SU(2) lattice gauge field. In contrast to earlier studies directly on the electronic degrees of freedom, we find evidence for a second-order deconfined quantum phase transition at which both the Néel and d-wave superconductivity orders vanish continuously. We compute correlators of the spinon-chargon composite with the same quantum numbers as the electron: we find a gapless Dirac dispersion inside the d-wave superconductor, turning into a gapped dispersion in the antiferromagnet.
Versions
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BibTeX
@misc{chen2026deconfined,
title = {{Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: a quantum Monte Carlo study}},
author = {Chuang Chen and Subir Sachdev and Zi Yang Meng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.00762},
eprint = {2607.00762},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.00762},
}
RIS
TY - UNPB
TI - Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: a quantum Monte Carlo study
AU - Chuang Chen
AU - Subir Sachdev
AU - Zi Yang Meng
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2607.00762
UR - https://arxiv.org/abs/2607.00762
AB - We present a quantum Monte Carlo study of the transition between the insulating Néel state and the nodal d-wave superconductor on the square lattice at half-filling. We access a regime of frustrated magnetic order without a sign problem using a parton representation of the electron in terms of fermionic spinons and bosonic chargons. Both partons move in a background π-flux (so the electron experiences no net flux) and are coupled to a quantum fluctuating SU(2) lattice gauge field. In contrast to earlier studies directly on the electronic degrees of freedom, we find evidence for a second-order deconfined quantum phase transition at which both the Néel and d-wave superconductivity orders vanish continuously. We compute correlators of the spinon-chargon composite with the same quantum numbers as the electron: we find a gapless Dirac dispersion inside the d-wave superconductor, turning into a gapped dispersion in the antiferromagnet.
ER -