Antiferromagnetic domains and superconductivity in UPt3 - art. no. 134502

We explore the response of an unconventional superconductor to spatially in homogeneous antiferromagnetism (SIAFM). Symmetry allows the superconducting order parameter in the E-representation models fur UPt3 to couple directly to the antiferromagnetic (AFM) order parameter. The Ginzburg-Landau equati ons for coupled superconductivity and SIAFM are solved numerically for two possible SIAFM configurations: Model I, abutting antiferromagnetic domains of uniform size; and Model 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 provide s a satisfactory account of experiment, but results from the two models dif fer significantly. Our results demonstrate that the response of an E-2u sup erconductor to SIAFM is strongly dependent on the spatial dependence of AFM order; no conclusion can be drawn regarding the compatibility of E-2u supe rconductivity with UPt3 that is independent of assumptions on the spatial d ependence of antiferromagnetism.