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.
In the gapless range−1< ε <1, the FS is determined by the LY roots where|z x|=|z y|= 1
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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.