The effect of velocity anisotropy on the antiferromagnetic instability of a d-wave superconductor
Dominic J. Lee, Igor F. Herbut
Abstract
We consider the effective 2+1 dimensional electrodynamics (QED3) of low-energy quasiparticles coupled to fluctuating vortex loops in the d-wave superconductor, with the velocity anisotropy: vF not equal to vDelta. This theory should be relevant to the quantum superconductor-insulator transition in underdoped cuprates. Working in the customary large-N approximation, we find that weak anisotropy is a marginally irrelevant perturbation to the Lorentz invariant QED3, and that the critical number Nc of Dirac fields below which the theory suffers the antiferromagnetic (chiral) instability stays the same.
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