Nodeless d-wave superconducting pairing due to residual antiferromagnetism in underdoped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$

Abstract

We have investigated the doping dependence of the penetration depth vs. temperature in electron doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ using a model which assumes the uniform coexistence of (mean-field) antiferromagnetism and superconductivity. Despite the presence of a $d_{x^2-y^2}$ pairing gap in the underlying spectrum, we find nodeless behavior of the low-$T$ penetration depth in underdoped case, in accord with experimental results. As doping increases, a linear-in-$T$ behavior of the penetration depth, characteristic of d-wave pairing, emerges as the lower magnetic band crosses the Fermi level and creates a nodal Fermi surface pocket.

arXiv commentAccepted in PRL for publication

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