Fig. 4: Insulating phases of the kagome superlattice.
From: Statistical learning of engineered topological phases in the kagome superlattice of AV3Sb5
Overview of the characteristics of possible insulating phases of the 2 × 2 kagome superlattice with C6 symmetry that is extracted from an unbiased data set. The hopping parameter t is colored in blue, \({t}^{\prime}\) and \(t^{\prime}\) in red and \(t^{\prime\prime}\) in green. \(t^{\prime\prime\prime}\) connects different unit cells and are arranged in triangular manner. Arrows illustrate the hopping flux direction and the line thickness indicates the relative magnitude of ∣t∣, \(| {t}^{\prime}| =| {t}^{\prime\prime}|\) and \(| {t}^{\prime\prime}|\). For C = 1 and C = 2 the hopping flux direction is mirrored with respect to C = −1 and C = −2, respectively. The handedness of the complex hopping patterns testifies the chiral nature of the topological phases.
