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Recently, a theoretical study [Li {\it et al.},~npj Quantum Materials 6, 36(2021)] investigated a model of a disordered $d$-wave superconductor, andreported local time-reversal symmetry breaking current loops for sufficientlyhigh disorder levels. Since the pure $d$-wave superconducting state does notbreak time-reversal symmetry, it is surprising that such persistent currentsarise purely from nonmagnetic disorder. Here we perform a detailed theoreticalinvestigation of such disorder-induced orbital currents, and show that theoccurrence of the currents can be traced to local extended $s$-wave pairing. Wediscuss the energetics leading to regions of $s\pm id$ order, which supportspontaneous local currents in the presence of inhomogeneous densitymodulations.

Supercurrents and spontaneous time-reversal symmetry breaking by nonmagnetic disorder in unconventional superconductors