In the dilute limit of the 1D infinite-U Hubbard model the charge Drude weight admits a closed-form expression whose low-temperature expansion, after regularization of the singular contribution, yields linear-in-T resistivity.
Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
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abstract
We investigate the Nagaoka-Thouless (NT) ferromagnetic instability in the strongly interacting $t$-$t'$ Hubbard model by continuously breaking particle-hole symmetry on a tunable square-triangular lattice geometry. We use an analytic approach to show that the fully spin-polarized state becomes unstable to a metastable spin-polaron when the kinetic frustration $t'/t$ exceeds a critical, dimension-dependent value. Large-scale density matrix renormalization group simulations reveal a quantum phase transition from the NT ferromagnet to a spiral spin-density wave, which evolves continuously into the Haerter-Shastry antiferromagnet in the large-frustration limit. Remarkably, this transition remains robust at low but finite hole density, making it accessible in cold-atom and moir\'e Hubbard platforms under strong interactions. A variational analysis further captures the instability mechanism at finite density via frustration-induced magnon band deformation.
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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.
Locates the exact spin-spiral instability point of the Nagaoka ferromagnet in the square-to-triangular lattice crossover.
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Transport and Temperature 1: Exact spectrum and resistivity for the one-dimensional infinite-$U$ Hubbard model
In the dilute limit of the 1D infinite-U Hubbard model the charge Drude weight admits a closed-form expression whose low-temperature expansion, after regularization of the singular contribution, yields linear-in-T resistivity.
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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.
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Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices
Locates the exact spin-spiral instability point of the Nagaoka ferromagnet in the square-to-triangular lattice crossover.