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

2026/07/31 by Chuang Chen, Subir Sachdev, Zi Yang Meng · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf

16 pages, 7 figures

arxiv created 2026/08/06 · arxiv updated 2026/08/07

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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