Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-04-11
Physical Review B 78, 045110 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
32 pages, 5 figures; (v3) Softened some claims and added references; (v4) Improved understanding of translational symmetry bre
Scientific paper
10.1103/PhysRevB.78.045110
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.
Kaul Ribhu K.
Metlitski Max A.
Sachdev Subir
Xu Cenke
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