Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to ${\cal O}(λ^3)$
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866917196578422784 |
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| author | Shears, Samantha Perepelitsky, Edward Arciniaga, Michael Shastry, Sriram |
| author_facet | Shears, Samantha Perepelitsky, Edward Arciniaga, Michael Shastry, Sriram |
| contents | We present the ${\cal O}(λ^3)$ results from the $λ$ expansion in the extremely correlated Fermi liquid theory applied to the infinite-dimensional $t$-$J$ model (with $J=0$), and compare the results with the earlier ${\cal O}(λ^2)$ results as well as the results from the dynamical mean field theory. We focus attention on the $T$ dependence of the resistivity $ρ(T)$, the Dyson self energy, and the quasiparticle weight $Z$ at various densities. The comparison shows that all the methods display quadratic in T resistivity followed by a quasi-linear in T resistivity characterizing a strange metal, and gives an estimate of the different scales of these variables relative to the exact results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_08599 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to ${\cal O}(λ^3)$ Shears, Samantha Perepelitsky, Edward Arciniaga, Michael Shastry, Sriram Strongly Correlated Electrons We present the ${\cal O}(λ^3)$ results from the $λ$ expansion in the extremely correlated Fermi liquid theory applied to the infinite-dimensional $t$-$J$ model (with $J=0$), and compare the results with the earlier ${\cal O}(λ^2)$ results as well as the results from the dynamical mean field theory. We focus attention on the $T$ dependence of the resistivity $ρ(T)$, the Dyson self energy, and the quasiparticle weight $Z$ at various densities. The comparison shows that all the methods display quadratic in T resistivity followed by a quasi-linear in T resistivity characterizing a strange metal, and gives an estimate of the different scales of these variables relative to the exact results. |
| title | Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to ${\cal O}(λ^3)$ |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2204.08599 |