Antiferromagnetic Domains and Superconductivity in UPt3

Matthias J. Graf; Daryl. W. Hess

doi:10.1103/physrevb.63.134502

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Antiferromagnetic Domains and Superconductivity in UPt3

Matthias J. Graf·Daryl. W. Hess

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Abstract

We explore the response of an unconventional superconductor to spatially inhomogeneous antiferromagnetism (SIAFM). Symmetry allows the superconducting order parameter in the E-representation models for UPt3 to couple directly to the AFM order parameter. The Ginzburg-Landau equations for coupled superconductivity and SIAFM are solved numerically for two possible SIAFM configurations: (I) abutting antiferromagnetic domains of uniform size, and (II) quenched random disorder of `nanodomains' in a uniform AFM background. We discuss the contributions to the free energy, specific heat, and order parameter for these models. Neither model provides a satisfactory account of experiment, but results from the two models differ significantly. Our results demonstrate that the response of an E_{2u} superconductor to SIAFM is strongly dependent on the spatial dependence of AFM order; no conclusion can be drawn regarding the compatibility of E_{2u} superconductivity with UPt3 that is independent of assumptions on the spatial dependence of AFM

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Matthias J. Graf, Daryl. W. Hess. 2000-12-21. Antiferromagnetic Domains and Superconductivity in UPt3. https://doi.org/10.1103/physrevb.63.134502

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