Multiple phases with intertwined magnetic and superconducting orders in Nd-doped CeCoIn5

The thermal conductivity of heavy-fermion superconductor ${\mathrm{Ce}}_{0.95}{\mathrm{Nd}}_{0.05}{\mathrm{CoIn}}_{5}$ was measured with a magnetic field rotating in the tetragonal $a\text{\ensuremath{-}}b$ plane. The thermal conductivity exhibits a step within the high-field low-temperature (HFLT) phase, which exists above 8 Tesla within the superconducting state, when field is rotated through the antinodal [100] direction of the superconducting $d$-wave order parameter. This anomaly indicates the presence of a third order parameter within the HFLT phase, similar to that of pure ${\mathrm{CeCoIn}}_{5}$. Therefore, the HFLT state with triply intertwined orders, i.e., superconducting $d$-wave, magnetic spin-density wave (SDW), and a putative superconducting $p$-wave pair-density wave (PDW), is robust against 5% Nd doping. The second magnetic phase within the superconducting state below 8 Tesla, a low-field SDW, displays a hysteresis in thermal conductivity as a function of field magnitude, which is also revealing the existence of a third order consistent with a $p$-wave PDW. Given different origins and properties of the HFLT and low-field SDW states, the presence of three intertwined orders in both phases is remarkable and of far-reaching consequences.