Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916362241179648 |
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| author | Désoppi, Lucas Dupuis, Nicolas Bourbonnais, Claude |
| author_facet | Désoppi, Lucas Dupuis, Nicolas Bourbonnais, Claude |
| contents | A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle and particle-hole channels are derived in weak-coupling conditions. It is shown that lattice effects manifest themselves through the curvature of the spectrum and the dependence of the coupling constants on momenta. This method is then applied to the one-dimensional extended Hubbard model; we thoroughly discuss the evolution of the phase diagram, and in particular the fate of the bond-centered charge-density-wave phase, as the system is doped away from half-filling. Our findings are compared to the predictions of the field-theory continuum limit and available numerical results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_16469 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling Désoppi, Lucas Dupuis, Nicolas Bourbonnais, Claude Strongly Correlated Electrons A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle and particle-hole channels are derived in weak-coupling conditions. It is shown that lattice effects manifest themselves through the curvature of the spectrum and the dependence of the coupling constants on momenta. This method is then applied to the one-dimensional extended Hubbard model; we thoroughly discuss the evolution of the phase diagram, and in particular the fate of the bond-centered charge-density-wave phase, as the system is doped away from half-filling. Our findings are compared to the predictions of the field-theory continuum limit and available numerical results. |
| title | Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2309.16469 |