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Condensed Matter > Strongly Correlated Electrons
Title: Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order and charge order on the square lattice at half-filling
(Submitted on 14 Feb 2024 (v1), last revised 3 Apr 2024 (this version, v3))
Abstract: We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that they match with those of the spinons of the $\pi$-flux spin liquid. Global symmetries of all gauge-invariant observables are chosen to match with those of the particle-hole symmetric electronic Hubbard model at half-filling. Consequently, both the fundamental fermion and fundamental boson move in an average background $\pi$-flux, their gauge-invariant composite is the physical electron, and eliminating gauge fields in a strong gauge-coupling expansion yields an effective extended Hubbard model for the electrons. The SU(2) gauge theory displays several confining/Higgs phases: a nodal $d$-wave superconductor, and states with N\'eel, valence-bond solid, charge, or staggered current orders. There are also a number of quantum phase transitions between these phases which are very likely described by 2+1 dimensional deconfined conformal gauge theories, and we present large flavor expansions for such theories. These include the phenomenologically attractive case of a transition between an insulator with N\'eel order and a $d$-wave superconductor with gapless Bogoliubov quasiparticles at 4 nodal points in the Brillouin zone.
Submission history
From: Zhu-Xi Luo [view email][v1] Wed, 14 Feb 2024 19:00:00 GMT (1897kb,D)
[v2] Sun, 25 Feb 2024 15:43:19 GMT (1919kb,D)
[v3] Wed, 3 Apr 2024 16:58:56 GMT (2024kb,D)
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