In the Hatsugai-Kohmoto model, Fermi surface topology transitions quantified by Fermi sea volume and Euler characteristic unify metal-insulator and Lifshitz transitions under a robust universality class, with gapless phases identified as Landau Fermi liquids.
Due to its periodicity, the spectrumε(k) can be defined on ad-dimensional torusT d and it satisfies the conditions for the Morse function [33]
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Topology of the Fermi surface and universality of the metal-metal and metal-insulator transitions: $d$-dimensional Hatsugai-Kohmoto model as an example
In the Hatsugai-Kohmoto model, Fermi surface topology transitions quantified by Fermi sea volume and Euler characteristic unify metal-insulator and Lifshitz transitions under a robust universality class, with gapless phases identified as Landau Fermi liquids.