We will look at how discovered the Hoftstadter Butterfly fractal pattern in quantum physics. - Deepstash
We will look at how discovered the Hoftstadter Butterfly fractal pattern in quantum physics.

We will look at how discovered the Hoftstadter Butterfly fractal pattern in quantum physics.

A world lived by atoms was constructed using quantum mechanics. In condensed matter physics , crystal mediums are represented as lattice models in the presence of magnetic and electric fields (or both) . In this model, when the set of equations (Harper’s Equation) describes the motion of the individual (non-interacting) electron is solved under particular boundary conditions and if the graph of external magnetic field corresponding to the solutions (energy) is plotted, we see the butterfly fractal pattern (Hofstadter Butterfly) which is quite interesting.

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