2.4. ALTERNATIVE BUTTERFLIES - Deepstash

2.4. ALTERNATIVE BUTTERFLIES

Just as different types of butterflies exist in nature, the Hofstadter Butterfly is not unique in physics. Naturally, fractal patterns will be different in systems that exhibit different behaviors under different types of features. Above, we only talked about two-dimensional square lattice model solutions. For example, if we analyzed hexagonal (honeycomb) or triangular lattice structures using similar numerical methods under a magnetic field, we would get different graphs. Just like bent, twisted and modified versions of the Hofstadter Butterfly.

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