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Published on: August 2, 2019
Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: A quantum Monte
Chuang Chen1,2, Subir Sachdev3,4, Zi Yang Meng1,2
1Department of Physics and Hong Kong Institute of Quantum Science and Technology, The University of Hong Kong, Hong Kong, Special Administrative Region, China.
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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