Novel antiferromagnetic quantum phase transition in underdoped cuprates

Details Novel antiferromagnetic quantum phase transition in underdoped cuprates Novel antiferromagnetic quantum phase transition in underdoped cuprates

1999-01-21

arxiv.org/abs/cond-mat/9901208v3

Physics

Condensed Matter

Superconductivity

RevTex 4 pages, 2 epsf figures. Corrected errors and added references

Scientific paper

We investigate a zero-temperature itinerant antiferromagnetic transition where the fermions possess a d-wave gap. This problem pertains to both the nodal liquid insulating phase and the d-wave superconducting phase of the underdoped cuprates. We find that a non-trivial quantum phase transition exists, and that the quantum critical point is dominated by a long-ranged interaction ($|x-y|^{-2d}$) of the N\'{e}el order parameter, which is induced by the Dirac-like fermions near gap nodes. We formulate a Ginzburg-Landau functional and estimate the critical exponents via the large-N expansion method.

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