Electronic thermal resistivity and quasi-particle collision cross-section in semi-metals
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arXiv
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| Format: | Preprint |
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2024
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| author | Gourgout, Adrien Marguerite, Arthur Fauqué, Benoît Behnia, Kamran |
| author_facet | Gourgout, Adrien Marguerite, Arthur Fauqué, Benoît Behnia, Kamran |
| contents | Electron-electron collisions lead to a T-square component in the electrical resistivity of Fermi liquids. The case of liquid $^3$He illustrates that the \textit{thermal} resitivity of a Fermi liquid has a T-square term, expressed in m$\cdot$W$^{-1}$. Its natural units are $\hbar/k_FE_F^2$. Here, we present a high-resolution study of the thermal conductivity in bismuth, employing magnetic field to extract the tiny electronic component of the total thermal conductivity and resolving signals as small as $\approx 60 μ$K. We find that the electronic thermal resistivity follows a T-square temperature dependence with a prefactor twice larger than the electric T-square prefactor. Adding this information to what has been known for other semi-metals, we find that the prefactor of the T-square thermal resistivity scales with the square of the inverse of the Fermi temperature, implying that the dimensionless fermion-fermion collision cross-section is roughly proportional to the Fermi wavelength, indicating that it is not simply set by the strength of the Coulomb interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16984 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electronic thermal resistivity and quasi-particle collision cross-section in semi-metals Gourgout, Adrien Marguerite, Arthur Fauqué, Benoît Behnia, Kamran Strongly Correlated Electrons Materials Science Statistical Mechanics Electron-electron collisions lead to a T-square component in the electrical resistivity of Fermi liquids. The case of liquid $^3$He illustrates that the \textit{thermal} resitivity of a Fermi liquid has a T-square term, expressed in m$\cdot$W$^{-1}$. Its natural units are $\hbar/k_FE_F^2$. Here, we present a high-resolution study of the thermal conductivity in bismuth, employing magnetic field to extract the tiny electronic component of the total thermal conductivity and resolving signals as small as $\approx 60 μ$K. We find that the electronic thermal resistivity follows a T-square temperature dependence with a prefactor twice larger than the electric T-square prefactor. Adding this information to what has been known for other semi-metals, we find that the prefactor of the T-square thermal resistivity scales with the square of the inverse of the Fermi temperature, implying that the dimensionless fermion-fermion collision cross-section is roughly proportional to the Fermi wavelength, indicating that it is not simply set by the strength of the Coulomb interaction. |
| title | Electronic thermal resistivity and quasi-particle collision cross-section in semi-metals |
| topic | Strongly Correlated Electrons Materials Science Statistical Mechanics |
| url | https://arxiv.org/abs/2405.16984 |