Hubbard model at U=$\infty$: Role of single and two-boson fluctuations

• URL: http://arxiv.org/abs/2603.15790v1
• Date: Mon, 16 Mar 2026 18:15:44 GMT
• Title: Hubbard model at U=$\infty$: Role of single and two-boson fluctuations
• Abstract summary: We consider the U=$infty$ Hubbard model and used the equation of motion method to calculate the fermion self-energy.<n>The emergent bosons here are self-generated local charge and spin-density fluctuations which become strongly time-dependent due to extreme correlations.<n>The resistivity shows a linear temperature dependence over a broad range, crossing over to coherent Fermi-liquid behavior at extremely low temperatures.
• Score: 0.8857443660746979
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We have developed a semi-analytical framework formulated in the canonical fermion representation to investigate strongly correlated electron systems. We consider the U=$\infty$ Hubbard model and used the equation of motion method to calculate the fermion self-energy which has two parts: single and two-boson exchange processes. The emergent bosons here are self-generated local charge and spin-density fluctuations which become strongly time-dependent due to extreme correlations. The computed boson spectral density is a diffusive damped mode with a long tail. The electron self-energy at $d=\infty$ is computed self-consistently. The corresponding fermionic spectral density displays a pronounced coherence peak at $ω=0$, while its frequency derivative develops a two-peak structure at finite $ω$. The resistivity shows a linear temperature dependence over a broad range, crossing over to coherent Fermi-liquid behavior at extremely low temperatures.

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