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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2603.15790 |
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| _version_ | 1866915868109176832 |
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| author | Sa, Debanand Dutta, Anirban |
| author_facet | Sa, Debanand Dutta, Anirban |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15790 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hubbard model at U=$\infty$: Role of single and two-boson fluctuations Sa, Debanand Dutta, Anirban Strongly Correlated Electrons Quantum Physics 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. |
| title | Hubbard model at U=$\infty$: Role of single and two-boson fluctuations |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2603.15790 |