The proved dramatic interaction between the metal substrate and silicene drove the theoretical efforts towards a refined survey of template compatible with silicene [
30]. In this sense, not only lattice-match conditions (verified by relaxing the honeycomb structure) are taken into account but also the band alignment between the silicon overlayer and the substrate. Silicene (also germanene) can be proved to be stabilized by Al
2O
3(0001) as substrate in a reconstructed fashion with respect to the freestanding lattice [
30]. First principle calculations prove that silicene is stable when formed on the Al-terminated surface exhibiting a low-buckled honeycomb structure with gapped Dirac cones at K point. However, even on Al
2O
3(0001), the role of interaction turns out to tune the electronic band structure [
11]. Indeed, among the manifold minima of the Born-Oppenheimer energy, it is possible to identify two groups of silicene geometries that differentiate each other about the degree of interaction with the Al
2O
3(0001) surface. Although their common structure is a metastable
silicene lattice on the
Al
2O
3(0001) substrate (Figure
5(a)), accounting for a strain of about 3.3% because of the lattice mismatch, when the average distance between the silicene and substrate is about 2.8 Å (3.3 Å), the interaction is strong (weak). In both cases, being a reconstruction of the freestanding lattice, either weak (W) or strong interacting silicene (SIS) lose its pristine D
3d symmetry. Although WIS and SIS configurations are separated by a small energy difference, their electronic and optical properties are remarkably different. Figure
5(b) shows the electronic band structure of the WIS geometry showing small bandgap opening in the Dirac cone of about 0.05 eV at K point retaining the linear band behavior of freestanding silicene close to the Fermi level. Conversely, the SIS geometry is characterized by a larger (indirect) bandgap opening without features of the Dirac energy dispersion (not shown). At variance with metal substrate,
e.g., Ag(111) [
31], the Al
2O
3(0001) substrate intriguingly paves the way for the first time optical characterization of silicene [
11]. Opposed to relatively cold growth of silicene-on-silver, silicene is grown on a Al
2O
3(0001) surface at 670°C. Generally, silicon nanosheets grown on Al
2O
3(0001) exhibit a peculiar optical behavior as demonstrated in Figure
5(c). Similar to previously described cases, air-instability plagues the survival of silicene and thicker silicon film on Al
2O
3(0001); therefore, encapsulation with the Al
2O
3 is still necessary as described for the two previous cases in point while unaffecting the optical response of silicon due to its transparency in a large range of the electromagnetic spectrum. Hence, the silicon nanosheets are sandwiched in between two optical transparent layers for months without chemical intermixing [
11]. By making tailored samples with variable silicon thickness along one substrate direction (see sketch in Figure
5) with a wedge-like shape, the overall silicon nanosheet thickness scrutinized in our survey ranges between 0.5 and 7 nm. The real part of the optical conductivity
, extracted from transmittance measurements through Kramers-Kronig transformations, is shown in Figure
5(c). In the photon range 0.25-4.5 eV, the optical conductivity
shows a thickness-dependent behavior. At the lowest thickness investigated at the pure 2D limit,
i.e., 0.5 nm, the black curve of Figure
5(c) is characterized by two spectral features at ~1.4 and 4.5 eV. These peaks closely resemble those arising from the resonant interband transitions
and
occurring at the M and Γ points of the Brilluoin zone of freestanding silicene due to the van Hove singularities of the joint density of states [
32]. These spectral features are the characteristic hallmarks of the X-enes distinguishing graphene, silicene, and germanene, while they share the low-energy part of the spectrum with the same absorption behavior depending only on
πα, where
is the Sommerfeld fine-structure constant, linking the quantum electrodynamics to the condensed matter physics [
33]. Noticeably, these interband transitions are demonstrated to occur in the WIS geometry. In particular, the pristine
transition of silicene is almost unaffected by the presence of Al
2O
3(0001) substrate, at variance with Ag(111) [
31], and by the strain, thus being very close to the experimental one. When the silicon nanosheet thickness is increased up to the maximum thickness of 7 nm, the optical behavior progressively deviates from that of freestanding silicene but still remains unconventional and does not recover the behavior of bulk amorphous or crystalline silicon because of the absence of an optical gap. On the other hand, the silicene-like nature of the thinnest silicon nanosheet investigated is further corroborated by an additional evidence. The low-energy part of the
reported in Figure
5(c) can be demonstrated to be quantized as a multiple integer of
,
i.e., the universal optical conductance G
0 [
34], where
is the Planck constant. In other words, the two silicon nanosheets with thickness of 0.5 and 1.5 nm show a low-energy optical conductance equal to G
0 and 2G
0, respectively. This is an additional evidence of the presence of massless Dirac electrons as already reported on single and few-layer graphene [
35]. With the exception of the inelastic scattering associated with phonons,
i.e., Raman spectroscopy, metal substrates hamper to probe the optical properties of silicene. Therefore, the choice of the transparent Al
2O
3(0001) for the theoretically predicted weakly interacting silicene allowed for the first time measured optical properties by fabricating and encapsulating silicon nanosheets with variable thickness on Al
2O
3(0001). A Dirac-like absorption is observed in the infrared range of the optical conductivity at the 2D limit. This optical conductivity shows an overall behavior similar to that expected from the ideal silicene with a clear feature related to the
interband transition that is corroborated by the evidence of a quantized optical conductance for the first two layers. This outcome opens up the opportunity to exploit graphene-like silicon in a silicon photonics directions operating in the THz regime.