Esswein Tobias, Spaldin Nicola A
Department of Materials, ETH Zurich, Zürich, Zurich, 8093, Switzerland.
Open Res Eur. 2023 Oct 17;3:177. doi: 10.12688/openreseurope.16312.1. eCollection 2023.
Motivated by the recent experimental discovery of strongly surface-plane-dependent superconductivity at surfaces of KTaO single crystals, we calculate the electron-phonon coupling strength, , of doped KTaO along the reciprocal-space high-symmetry directions. Using the Wannier-function approach implemented in the EPW package, we calculate across the experimentally covered doping range and compare its mode-resolved distribution along the [001], [110] and [111] reciprocal-space directions. We find that the electron-phonon coupling is strongest in the optical modes around the Γ point, with some distribution to higher values in the [001] direction. The electron-phonon coupling strength as a function of doping has a dome-like shape in all three directions and its integrated total is largest in the [001] direction and smallest in the [111] direction, in contrast to the experimentally measured trends in critical temperatures. This disagreement points to a non-BCS character of the superconductivity. Instead, the strong localization of in the soft optical modes around Γ suggests an importance of ferroelectric soft-mode fluctuations, which is supported by our findings that the mode-resolved values are strongly enhanced in polar structures. The inclusion of spin-orbit coupling has negligible influence on our calculated mode-resolved values.
受近期在KTaO单晶表面发现的强烈依赖表面平面的超导性这一实验发现的推动,我们计算了掺杂KTaO沿倒易空间高对称方向的电子 - 声子耦合强度。使用EPW软件包中实现的Wannier函数方法,我们计算了整个实验覆盖的掺杂范围内的该耦合强度,并比较了其沿[001]、[110]和[111]倒易空间方向的模式分辨分布。我们发现,电子 - 声子耦合在Γ点附近的光学模式中最强,在[001]方向上有一些向更高值的分布。电子 - 声子耦合强度作为掺杂的函数在所有三个方向上都呈圆顶状,其积分总和在[001]方向上最大,在[111]方向上最小,这与临界温度的实验测量趋势相反。这种不一致表明超导具有非BCS特性。相反,Γ附近软光学模式中该耦合强度的强烈局域化表明铁电软模式涨落的重要性,这得到了我们的发现的支持,即在极性结构中模式分辨的该耦合强度值会大幅增强。包含自旋 - 轨道耦合对我们计算的模式分辨的该耦合强度值影响可忽略不计。