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.

32 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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• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
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• Putting competing orders in their place near the Mott transition
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Cited by in corpus (19)

• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Theory of a continuous Mott transition in two dimensions
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Fluctuating spin density waves in metals
• Fermi surfaces and gauge-gravity duality
• The quasi-normal modes of quantum criticality
• Density-wave instabilities of fractionalized Fermi liquids
• Exotic disordered phases in the quantum $J_1-J_2$ model on the honeycomb lattice
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Paired electron pockets in the hole-doped cuprates
• 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
• Geometric phases and competing orders in two dimensions
• Evidence of a spin liquid phase in the frustrated honeycomb lattice
• Magnetic order, Bose-Einstein condensation, and superfluidity in a bosonic t-J model of CP^1 spinons and doped Higgs holons
• Monopole correlations in holographically flavored liquids
• Bilocal quantum criticality