When the NiX
2 dope into CdS lattice, the F and Cl atoms may evaporate out of the crystal; only Ni ions were left in the lattice as dopants, then Ni ions can aggregate within CdS NB, leading to ferromagnetic response and LEMP emission due to the ferromagnetic coupling between Ni ions [
32]. This indicates a ferromagnetic coupling for TM ions in Ni
2+ or (NiI)
nanocluster in CdS lattice, but the antiferromagnetic coupling between ferromagnetic layers in NiI
2 crystal occurs at low temperature [
39] but do not show up in minor doping case. Hence, this CdS:NiI
2 DMS nanostructures could produce EMP emission band as the second band at 530 nm we fitted in Figure
4(d). Moreover, the EMP condensate could form at below CdS bandedge by pulsed laser excitation, which could be identified by a single-mode lasing line close to its EMP energy [
7,
48]. That should be why we see the 530.9 nm lasing line in CdS:NiI
2 NB, and its similar EMP lasing line also was seen in CdS NBs doped with NiF
2, NiCl
2, and NiBr
2 as shown in Figure S8. Why do this EMP line show up so far away from the bandedge of CdS? Two factors are leading: (1) More Ni ions (close to 4%) doped than that in previous works, so their large ferromagnetic coupling would bind more LO phonons to lead to a large redshift. (2) In the previous report, we use Ni, Mn, and Co chloride as precursors for CdS doping. During the growth of CdS NBs, F or Cl ions can be removed by carrier H
2 gas; hence, they cannot be left in the lattice during growth. So the spin-coupled Ni ions play a dominant role in the emission process of CdS:NiCl
2 and CdS:NiF
2. But for NiBr
2 or NiI
2 as precursors, I and Br are heavy atoms, hard to be evaporated; hence, they might be left into CdS lattice during growth. Therefore, Br and I ions could also work as codopants with Ni ions in CdS NB. The Br or I ion in the CdS lattice could lead to the charge-transfer effect and the formation of exciton complexes or acceptor-bound exciton or self-trapped exciton (STE) [
46], hence bring about a larger redshift of emission band as shown in the STE at 561 nm in Figure
4(c) and the composite band at 543 nm in Figure
4(d). For CdS NBs doped with Ni ions and only minor F, Cl, and Br ions under fs pulse excitation, we can detect their EMP lasing line. For CdS doped with NiF
2, its lasing lines occur at 513.3 nm (bound magnetic exciton) and 518.4 nm (EMP) as shown in Figure S8(a); the lasing line for CdS NB doped with NiCl
2 is at 514.8 nm as shown in Figure S8(b), while the lasing line of the CdS NB doped with NiBr
2 is at 515.1 nm as shown in Figure S8(c). A gradual shift of EMP line goes to lower energy from F or Cl to Br or I, for EMP often contain LO phonon coupling [
7,
48] and TM ion aggregation number. However, the NBs doped with NiF, NiCl, and NiBr cannot produce NIR lasing line; moreover, slightly higher doping in CdS NB even cannot produce lasing at all wavelengths for efficient carrier scattering. The lasing conditions in the above NBs reflected their exciton nature in DMS. The anomalous lasing behaviour of CdS:NiI relates its low energy PL to the microscopic
Δ value for (NiI)
clusters. Therefore, the LEMP near the charge-transfer bandedge of (NiI)
cluster can lead to exciton-like excitations and produce new lasing line in the NIR region [
50,
54]. Only the bosonic excitations could coexist in the same real space in a semiconductor and emit light simultaneously; moreover, coupled spins could bind more bosonic excitations via exchange interactions to form a macroscopic quantum state for coherent radiation.