Zimmermann Yoel, Keski-Rahkonen Joonas, Graf Anton M, Heller Eric J
Department of Chemistry and Applied Biosciences, ETH Zurich, 8093 Zurich, Switzerland.
Department of Physics, Harvard University, Cambridge, MA 02138, USA.
Entropy (Basel). 2024 Jun 28;26(7):552. doi: 10.3390/e26070552.
The intricate relationship between electrons and the crystal lattice is a linchpin in condensed matter, traditionally described by the Fröhlich model encompassing the lowest-order lattice-electron coupling. Recently developed quantum acoustics, emphasizing the wave nature of lattice vibrations, has enabled the exploration of previously uncharted territories of electron-lattice interaction not accessible with conventional tools such as perturbation theory. In this context, our agenda here is two-fold. First, we showcase the application of machine learning methods to categorize various interaction regimes within the subtle interplay of electrons and the dynamical lattice landscape. Second, we shed light on a nebulous region of electron dynamics identified by the machine learning approach and then attribute it to transient localization, where strong lattice vibrations result in a momentary Anderson prison for electronic wavepackets, which are later released by the evolution of the lattice. Overall, our research illuminates the spectrum of dynamics within the Fröhlich model, such as transient localization, which has been suggested as a pivotal factor contributing to the mysteries surrounding strange metals. Furthermore, this paves the way for utilizing time-dependent perspectives in machine learning techniques for designing materials with tailored electron-lattice properties.
电子与晶格之间的复杂关系是凝聚态物质的关键所在，传统上由包含最低阶晶格 - 电子耦合的弗罗利希模型来描述。最近发展起来的量子声学，强调晶格振动的波动性质，使得探索以前用微扰理论等传统工具无法触及的电子 - 晶格相互作用的未知领域成为可能。在此背景下，我们这里的议程有两个方面。首先，我们展示机器学习方法在对电子与动态晶格图景微妙相互作用中的各种相互作用机制进行分类方面的应用。其次，我们阐明通过机器学习方法识别出的电子动力学模糊区域，然后将其归因于瞬态局域化，即强晶格振动导致电子波包瞬间陷入安德森局域，随后通过晶格演化而释放。总体而言，我们的研究阐明了弗罗利希模型内的动力学谱，如瞬态局域化，这被认为是导致围绕奇异金属的谜团的关键因素。此外，这为在机器学习技术中利用时间相关视角来设计具有定制电子 - 晶格特性的材料铺平了道路。
