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Core structures of a single vortex in A-like and B-like phases of superfluid3He in uniaxially compressed and stretched aerogels are studied by numericallysolving Ginzburg-Landau equations derived microscopically. It is found that,although any uniaxial deformation leads to a wider A-like phase with the axialpairing in the pressure-temperature phase diagram, the vortex core states inthe two phases in aerogel depend highly on the type of deformation. In acompressed aerogel, the first-order vortex core transition (VCT) previouslyseen in the bulk B phase appears at any pressure in the B-like phase while nostrange vortex core is expected in the corresponding A-like phase. By contrast,in a stretched aerogel, the VCT in the B-like phase is lost while another VCTis expected to occur between a nonunitary core and a polar one in the A-likephase. Experimental search for these results is hoped to understand correlationbetween superfluid 3He and aerogel structure.

Vortex core transitions in superfluid 3He in globally anisotropic aerogels