Destruction of Neel order in the cuprates by electron-doping

Abstract

Motivated by the evidence in PCCO and NCCO of a magnetic quantum critical point at which Neel order is destroyed, we study the evolution with doping of the T=0 quantum phases of the electron doped cuprates. At low doping, there is a metallic Neel state with small electron Fermi pockets, and this yields a fully gapped d_{x^2-y^2} superconductor with co-existing Neel order at low temperatures. We analyze the routes by which the spin-rotation symmetry can be restored in these metallic and superconducting states. In the metal, the loss of Neel order leads to a topologically ordered `doublon metal' across a deconfined critical point with global O(4) symmetry. In the superconductor, in addition to the conventional spin density wave transition, we find a variety of unconventional possibilities, including transitions to a nematic superconductor and to valence bond supersolids. Measurements of the spin correlation length and of the anomalous dimension of the Neel order by neutron scattering or NMR should discriminate these unconventional transitions from spin density wave theory.

arXiv comment32 pages, 5 figures; (v3) Softened some claims and added references; (v4) Improved understanding of translational symmetry breaking in superconductor, added co-author

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• Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
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• Fluctuating spin density waves in metals
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• The quasi-normal modes of quantum criticality
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• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
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• Deconfined criticality and ghost Fermi surfaces at the onset of antiferromagnetism in a metal
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Spin density wave order, topological order, and Fermi surface reconstruction
• Geometric phases and competing orders in two dimensions
• The enigma of the pseudogap phase of the cuprate superconductors
• Quantum criticality and the phase diagram of the cuprates
• Insulators and metals with topological order and discrete symmetry breaking
• The landscape of the Hubbard model
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