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math-ph2026
The conductivity matrix at the topological phase transition
Simone Fabbri, Giovanna Marcelli, Alessandro Giuliani
For a general class of two-dimensional non-interacting semi-metallic electron systems on a lattice, we derive an explicit formula for the whole conductivity matrix, by using Euclid…
math-ph2026
The Colored Hofstadter Butterfly as a Many-Body Quantum Hall Phase Diagram
Giovanna Marcelli, Tadahiro Miyao, Domenico Monaco +2
We prove that the colored Hofstadter butterfly has a many-body interpretation for a broad class of weakly interacting lattice fermion systems. Starting from a spectral gap of a Hof…