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Peer-reviewedCC BY-NC-ND 4.0Proceedings of the National Academy of Sciences of the United States of America

Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: A quantum Monte Carlo study

  • Chuang Chen1,2
  • Subir Sachdev3,4
  • Zi Yang Meng1,2
4 affiliations
  1. 1Department of Physics and Hong Kong Institute of Quantum Science and Technology, The University of Hong Kong, Hong Kong, Special Administrative Region, China
  2. 2Department of Physics and State Key Laboratory of Optical Quantum Materials, The University of Hong Kong, Hong Kong, Special Administrative Region, China
  3. 3Department of Physics, Harvard University, Cambridge, MA 02138
  4. 4Center for Computational Quantum Physics, Flatiron Institute, New York, NY 10010
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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.

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Cite

BibTeXRIS
BibTeX
@article{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},
  journal = {Proceedings of the National Academy of Sciences of the United States of America},
  year = {2026},
  month = oct,
  doi = {10.1073/pnas.2623874123},
  url = {https://doi.org/10.1073/pnas.2623874123},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - JOUR
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  - 2026/10/23
JO  - Proceedings of the National Academy of Sciences of the United States of America
DO  - 10.1073/pnas.2623874123
UR  - https://doi.org/10.1073/pnas.2623874123
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.
SN  - 0027-8424
SN  - 1091-6490
ER  -