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The effect of velocity anisotropy on the antiferromagnetic instability of a d-wave superconductor

Dominic J. Lee·Igor F. Herbut
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Abstract

We consider the effective 2+1 dimensional electrodynamics (QED_3) of low-energy quasiparticles coupled to fluctuating vortex loops in the d-wave superconductor, with the velocity anisotropy: v_F not equal to v_Delta. 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 QED_3, and that the critical number N_c of Dirac fields below which the theory suffers the antiferromagnetic (chiral) instability stays the same.

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Dominic J. Lee, Igor F. Herbut. 2002-04-24. The effect of velocity anisotropy on the antiferromagnetic instability of a d-wave superconductor. https://doi.org/10.1103/physrevb.66.094512

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