Hofstadter's butterfly

Physics Corner 2022. 4. 19. 13:39

The avatar of my blog is graph of Hofstadter's butterfly which results from a 2D lattice subjected to an external magnetic field. To generate the graph, I consider a squared lattice lying on xy-plane to which a z-direction magnetic field is applied. I use tight-binding model to construct the system's Hamiltonian and numerically solve the energy spectrum's dependence on magnetic flux through a la..

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