Generalized HK model with Landau interactions shows partially flat bands via mean-field theory consistent with fermion condensation, plus a pseudospin mapping and an exactly solvable variant with unique ground state.
Bad metal behavior and Lifshitz transition of a Nagaoka ferromagnet
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abstract
Using an extension of the fermionic functional renormalization group for systems where strong correlations give rise to projected Hilbert spaces we calculate the phase diagram and the electronic spectral function of the Hubbard model at infinite on-site repulsion. For a square lattice with nearest-neighbor hopping we find that the ground state evolves from a paramagnetic Fermi liquid at low densities via a state with antiferromagnetic stripe order at intermediate densities to an extended Nagaoka ferromagnet at high densities. The single-particle spectral function of the Nagaoka ferromagnet exhibits a flat but rather broad band characteristic for an incoherent non-Fermi liquid. We identify two distinct ferromagnetic regimes separated by a Lifshitz transition.
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Strong-coupling FRG for the U=∞ Hubbard model shows bandwidth and quasiparticle residue decreasing with density, polaronic continua, bad-metal behavior with magnetic correlations, and Luttinger theorem violation above low densities.
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Fermion condensation in a generalized Hatsugai-Kohmoto model with momentum-mixing Landau interactions
Generalized HK model with Landau interactions shows partially flat bands via mean-field theory consistent with fermion condensation, plus a pseudospin mapping and an exactly solvable variant with unique ground state.
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Functional renormalization group for extremely correlated electrons
Strong-coupling FRG for the U=∞ Hubbard model shows bandwidth and quasiparticle residue decreasing with density, polaronic continua, bad-metal behavior with magnetic correlations, and Luttinger theorem violation above low densities.