Butterflies and topological quantum numbers
J. E. Avron, D. Osadchy
TL;DR
This paper discusses the Hofstadter model's fractal butterfly diagrams, illustrating how topological quantum numbers explain the quantization of Hall conductance in quantum systems.
Contribution
It highlights the visual representation of topological quantum numbers through butterfly diagrams in the Hofstadter model.
Findings
Fractal butterfly diagrams encode topological quantum numbers.
Topological quantum numbers determine quantized Hall conductance.
Butterfly patterns visually represent quantum topological properties.
Abstract
The Hofstadter model illustrates the notion of topological quantum numbers and how they account for the quantization of the Hall conductance. It gives rise to colorful fractal diagrams of butterflies where the colors represent the topological quantum numbers.
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Taxonomy
TopicsTheoretical and Computational Physics · Quantum and electron transport phenomena · Quantum Computing Algorithms and Architecture