The newly discovered kagome metals AV3βSb5β (A = K, Rb, Cs) offer an
exciting route to study exotic phases arising due to interplay between
electronic correlations and topology. Besides superconductivity, these
materials exhibit a charge-density wave (CDW) phase occurring at around 100 K,
whose origin still remains elusive. The robust multi-component 2Γ2 CDW
phase in these systems is of great interest due to the presence of an unusually
large anomalous Hall effect. In quasi-2D systems with weak inter-layer coupling
fluctuation driven exotic phases may appear. In particular in systems with
multi-component order parameters fluctuations may lead to establishment of
composite order when only products of individual order parameters condense
while the individual ones themselves remain disordered. We argue that such
fluctuation-driven regime of composite CDW order may exist in thin films of
kagome metals above the CDW transition temperature. We also find that the
transition from the composite to individual CDW order is in the Z3β
Potts universality class. Our findings suggest possible presence of exotic
phases in the weakly coupled layered kagome metals, more so in the newly
synthesized thin films of kagome metals.Comment: 7 pages, 3 figure