Oh Chang-Geun, Kim Kun Woo, Rhim Jun-Won
Department of Applied Physics, The University of Tokyo, Tokyo, 113-8656, Japan.
Department of Physics, Chung-Ang University, Seoul, 06974, Republic of Korea.
Adv Sci (Weinh). 2024 Dec;11(48):e2411313. doi: 10.1002/advs.202411313. Epub 2024 Nov 18.
The geometric characteristics of Bloch wavefunctions play crucial roles in the properties of electronic transport. Within the Boltzmann equation framework, we demonstrate that the thermoelectric performance of materials is significantly influenced by the Hilbert-Schmidt distance of Bloch wavefunctions. The connection between the distribution of quantum distance on the Fermi surface and the electronic transport scattering rate is established in the presence of magnetic and nonmagnetic impurities. The general formulation is applied to isotropic quadratic band-touching semimetals, where one can concentrate on the role of quantum geometric effects other than the Berry curvature. It is verified that the thermoelectric power factor can be succinctly expressed in terms of the maximum quantum distance, d. Specifically, when d reaches one, the power factor doubles compared to the case with trivial geometry (d = 0). These findings highlight the significance of quantum geometry in understanding and improving the performance of thermoelectric devices.
布洛赫波函数的几何特征在电子输运性质中起着关键作用。在玻尔兹曼方程框架内，我们证明了材料的热电性能受到布洛赫波函数的希尔伯特 - 施密特距离的显著影响。在存在磁性和非磁性杂质的情况下，建立了费米面上量子距离分布与电子输运散射率之间的联系。该通用公式应用于各向同性二次能带接触半金属，在这种情况下可以专注于量子几何效应而非贝里曲率的作用。经证实，热电功率因子可以用最大量子距离(d)简洁地表示。具体而言，当(d)达到(1)时，与平凡几何情况（(d = 0)）相比，功率因子翻倍。这些发现突出了量子几何在理解和改善热电器件性能方面的重要性。
