Evidence of a two-component order parameter in 4Hb-TaS2 in the Little-Parks effect

Finding unambiguous evidence of non-trivial pairing states is one of the greatest experimental challenges in the field of unconventional superconductivity. Such evidence requires phase-sensitive probes susceptible to the internal structure of the order parameter. We measure the Little-Parks effect to provide clear evidence of an unconventional superconducting order parameter in 4Hb-TaS$_2$. Namely, we find a $\pi$-shift in the transition-temperature oscillations of rings made of a single crystal. We argue that such an effect can only occur if the underlying order parameter belongs to a two-dimensional representation, in other words there are two degenerate order parameters right at the transition. Additionally, we show that $T_c$ is enhanced as a function of the out-of-plane field when a constant in-plane field is applied. Such an increase is consistent with a chiral state, which again, in general only emerges from a two-component order parameter. In combination with previous experiments, our results strongly indicate that 4Hb-TaS$_2$ indeed realizes a chiral superconductor.