Spatial Solitons in Moiré Photonic Lattices in Cubic-Quintic Competing Nonlinear Material

In this study, we investigate the formation and stability of non-topological spatial solitons in a cubic-quintic nonlinear medium integrated with photonic Moiré lattices. This particular type of nonlinearity can be observed in carbon disulfide. For applying the competing nonlinearities of cubicand quintic orders, this study mitigates the catastrophic collapse that typically occurs in cubic nonlinear media, thereby stabilizing the soliton beams. Our approach is to identify fundamental soliton solutions by employing the Squared Operator Method (SOM), with further stability validation performed through the Split-Step Fourier method. Moiré lattices formed by the superposition of two periodic sublattices with a twist angle, exhibit unique properties that can significantly modify the light propagation characteristics. The shift from commensurate to incommensurate Moiré configurations influences critically soliton localization and power, highlighting the potential of cubicquintic nonlinear media for advanced soliton control in photonic and communication applications.