Electronic thermal resistivity and quasi-particle collision cross-section in semi-metals

التفاصيل البيبلوغرافية
العنوان: Electronic thermal resistivity and quasi-particle collision cross-section in semi-metals
المؤلفون: Gourgout, Adrien, Marguerite, Arthur, Fauqué, Benoît, Behnia, Kamran
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Materials Science, Condensed Matter - Statistical Mechanics
الوصف: 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 $\approx 60 \mu$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.
Comment: 9 pages, 5 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.16984
رقم الأكسشن: edsarx.2405.16984
قاعدة البيانات: arXiv