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 lattice cell.
The details of Hodstadter's butterfly can be found at: Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, PRB 14, 2239 (1976).
Hofstadter's butterfly
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 lattice cell.
The details of Hodstadter's butterfly can be found at: Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, PRB 14, 2239 (1976).
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