T-square resistivity without Umklapp scattering in dilute metallic Bi$_2$O$_2$Se
| Autor: | Wang, Jialu, Wu, Jing, Wang, Tao, Xu, Zhuokai, Wu, Jifeng, Hu, Wanghua, Ren, Zhi, Liu, Shi, Behnia, Kamran, Lin, Xiao |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Nature Communications 11, 3846 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1038/s41467-020-17692-6 |
| Popis: | The electrical resistivity of Fermi liquids (FLs) displays a quadratic temperature ($T$) dependence because of electron-electron (e-e) scattering. For such collisions to decay the charge current, there are two known mechanisms: inter-band scattering (identified by Baber) and Umklapp events. However, dilute metallic strontium titanate (STO) was found to display $T^2$ resistivity in absence of either of these two mechanisms. The presence of soft phonons and their possible role as scattering centers raised the suspicion that $T$-square resistivity in STO is not due to e-e scattering. Here, we present the case of Bi$_2$O$_2$Se, a layered semiconductor with hard phonons, which becomes a dilute metal with a small single-component Fermi surface upon doping. It displays $T$-square resistivity well below the degeneracy temperature where neither Umklapp nor interband scattering is conceivable. We observe a universal scaling between the prefactor of $T^2$ resistivity and the Fermi energy, which is an extension of the Kadowaki-Woods plot to dilute metals. Our results imply the absence of a satisfactory theoretical basis for the ubiquity of e-e driven $T$-square resistivity in Fermi liquids. Comment: 7 pages, 4 figures |
| Databáze: | arXiv |
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