Spatial dependence of the order parameter of superfluid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ at the A-B phase boundary

Accurate solutions of the Ginzburg-Landau equations describing the A-B phase boundary for a planar interface between ${}_{}{}^3{}_{}{}^{}\mathit{A}$ and ${}_{}{}^3{}_{}{}^{}\mathit{B}$ are calculated near the tricritical pressure and classified in terms of simple discrete symmetries. The order-parameter components of the A-B phase boundary and the interfacial energy ${\mathrm{\sigma }}_{\mathrm{AB}\left(\mathrm{T}\right)}$ deviate considerably from previous variational calculations.