Superfluid density and competing orders in d-wave superconductors

Abstract

We derive expressions for the superfluid density ${\rho }_s$ in the low-temperature limit $T\to 0$ in d-wave superconductors, taking into account the presence of competing orders such as spin-density waves, $i{d}_{xy}$-pairing, etc. Recent experimental data for the thermal conductivity and for elastic neutron scattering in La${}_{2-x}$Sr${}_x$CuO${}_4$ suggest there are magnetic field induced anomalies that can be interpreted in terms of competing orders. We consider the implications of these results for the superfluid density and show in the case of competing spin-density wave order that the usual Volovik-like $\sqrt{H}$ depletion of ${\rho }_s(H)$ is replaced by a slower dependence on applied magnetic field. We find that it is crucial to include the competing order parameter in the self-consistent equation for the impurity scattering rate.

17 pages, RevTeX4, 6 EPS figures; final version published in PRB

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• Effect of pseudogap formation on the penetration depth of underdoped high $T_c$ cuprates
• Superfluid stiffness in cuprates: Effect of Mott transition and phase competition
• Superfluid Suppression in d-Wave Superconductors due to Disordered Magnetism
• Phase stiffness in an antiferromagnetic superconductor
• London penetration depth in the tight binding approximation: Orthorhombic distortion and oxygen isotope effects in cuprates
• Stability of nodal quasiparticles in underdoped YBa2Cu3O6+y probed by penetration depth and microwave spectroscopy
• On the possible secondary component of the order parameter observed in London penetration depth measurements
• Doping dependence of electromagnetic response in cuprate superconductors
• Influence of a uniform magnetic field on dynamical chiral symmetry breaking in QED${}_3$
• Paring instability in the mixed state of d-wave superconductor