Recently, study of topological states of matter has moved to amorphous and quasicrystalline systems, which offer further diversity in the physics and resultant phenomena. Here, the authors study tight-binding models on random fractal networks and find a robust quantum Hall phase with quantized Hall conductance at certain fillings arguing that the phase is different from the conventional one in two dimensions.
- Moein N. Ivaki
- Isac Sahlberg
- Teemu Ojanen