Quantum critical point shifts under superconductivity: the pnictides and the cuprates

Details Quantum critical point shifts under superconductivity: the pnictides and the cuprates Quantum critical point shifts under superconductivity: the pnictides and the cuprates

2010-05-18

arxiv.org/abs/1005.3312v4

Physical Review B 82, 104516 (2010)

Physics

Condensed Matter

Superconductivity

11 pages, 8 figures

Scientific paper

10.1103/PhysRevB.82.104516

We compare the position of an ordering transition in a metal to that in a superconductor. For the spin density wave (SDW) transition, we find that the quantum critical point shifts by order |Delta|, where Delta is pairing amplitude, so that the region of SDW order is smaller in the superconductor than in the metal. This shift is larger than the ~ |Delta|^2 shift predicted by theories of competing orders which ignore Fermi surface effects. For Ising-nematic order, the shift from Fermi surface effects remains of order |Delta|^2. We discuss implications of these results for the phase diagrams of the cuprates and the pnictides. We conclude that recent observations imply that the Ising-nematic order is tied to the square of the SDW order in the pnictides, but not in the cuprates.

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