Interacting nodal semimetals with non-linear bands
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913739438030848 |
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| author | Poli, Arianna Wagner, Niklas Fischer, Max Toschi, Alessandro Sangiovanni, Giorgio Ciuchi, Sergio |
| author_facet | Poli, Arianna Wagner, Niklas Fischer, Max Toschi, Alessandro Sangiovanni, Giorgio Ciuchi, Sergio |
| contents | We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the energy-momentum dispersion through an intermediate-energy scale $Λ$. Our focus lies on the correlated phase of the semimetal. At the nodal point, the renormalization of spectral weight at a fixed temperature $T$ exhibits a weak dependence on $Λ$ but is sensitive to the proximity to the Mott transition. Conversely, the scattering rate of quasi-particles and the resistivity display high-temperature exponents that crucially rely on $Λ$, leading to a crossover towards a conventional Fermi-liquid behaviour at finite T. Finally, by employing the Nernst-Einstein relation for conductivity, we identify a corresponding density crossover as a function of the chemical potential. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_03653 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Interacting nodal semimetals with non-linear bands Poli, Arianna Wagner, Niklas Fischer, Max Toschi, Alessandro Sangiovanni, Giorgio Ciuchi, Sergio Strongly Correlated Electrons Mesoscale and Nanoscale Physics We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the energy-momentum dispersion through an intermediate-energy scale $Λ$. Our focus lies on the correlated phase of the semimetal. At the nodal point, the renormalization of spectral weight at a fixed temperature $T$ exhibits a weak dependence on $Λ$ but is sensitive to the proximity to the Mott transition. Conversely, the scattering rate of quasi-particles and the resistivity display high-temperature exponents that crucially rely on $Λ$, leading to a crossover towards a conventional Fermi-liquid behaviour at finite T. Finally, by employing the Nernst-Einstein relation for conductivity, we identify a corresponding density crossover as a function of the chemical potential. |
| title | Interacting nodal semimetals with non-linear bands |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2310.03653 |