arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

基于机器学习哈密顿量的第一性原理电子-磁振子耦合:从能带重整化到输运

First-Principles Electron-Magnon Coupling with Machine-Learning Hamiltonians: From Band Renormalization to Transport

Shixu Liu, Xingding Li, Haozhe Li, Yang Zhong, Hongjun Xiang, Xin-Gao Gong, Ji-Hui Yang

arXiv 2608.23333首次发表:更新:

AI 中文总结

本文开发了共线磁系统中含EMC的第一性原理输运计算框架,揭示α-Fe电阻率T²项由EPC与EMC强相互作用主导,且该框架对K掺杂BaMn₂As₂的EMC强度计算与实验吻合,填补了磁性系统输运研究的空白。

AI 中文摘要

与电子-声子耦合(EPC)类似,电子-磁振子耦合(EMC)有望调控磁性材料的电子结构、输运性质,甚至非常规超导电性。然而,EPC现已可在第一性原理框架内常规处理,而EMC的定量描述(尤其是针对输运性质)仍难以实现,原因是缺乏对应的理论形式。因此,即便对单质铁而言,仅考虑EPC的计算会同时遗漏电阻率的大小及其T²项。这一长期存在的差异一直被归因于EMC,但此前缺乏直接计算证据,且潜在的输运机制也未明确。本文在多体微扰理论框架内,开发了适用于共线磁系统的EMC统一第一性原理形式,辅以带自旋的机器学习哈密顿量,补充了常规第一性原理方法无法直接获取的物理量。该框架首次实现了包含EMC效应的从头算输运计算。将其应用于铁磁性α-Fe,所得电子谱函数与此前研究一致;更重要的是,成功复现了电阻率的完整T²项,其系数与测量结果定量吻合,且揭示T²项并非如长期假设般仅由EMC导致,而是由EPC与EMC的强相互作用主导。将该方法拓展至反铁磁性K掺杂BaMn₂As₂,成功捕捉到角分辨光电子能谱(ARPES)观测到的磁振子诱导扭折,以及约3的大EMC强度,与实验测量结果相当,验证了该框架的通用性。本研究填补了磁性系统输运性质定量理解领域的长期空白,为研究磁振子介导现象提供了预测性基础。

英文摘要

In analogy to electron-phonon coupling (EPC), electron-magnon coupling (EMC) is expected to shape electronic structure, transport, and possibly unconventional superconductivity in magnetic materials. However, unlike EPC, which is now routinely treated within first-principles frameworks, a quantitative description of EMC, especially for transport, remains elusive because of the lack of theoretical formalism. Consequently, even for elemental iron, EPC-only calculations miss both the magnitude and the $T^2$ component of resistivity. This discrepancy has long been attributed to EMC, although direct computational evidence has been lacking and the underlying transport mechanism remains unresolved. Here we develop a unified first-principles formalism for EMC in collinear magnetic systems within many-body perturbation theory, complemented by machine-learning spinful Hamiltonians that supply quantities not directly accessible from conventional first-principles methods. Our framework enables ab initio transport calculations including EMC effects for the first time. Applied to ferromagnetic $α$-Fe, our approach yields electron spectral functions consistent with previous studies. More importantly, we recover the full $T^2$ component of resistivity with a coefficient in quantitative agreement with measurement and reveal that the $T^2$ component cannot be attributed solely to EMC, as has long been assumed, but is dominated by the strong EPC-EMC interplay. Extending to antiferromagnetic K-doped $\mathrm{BaMn_2As_2}$, our method captures the ARPES-observed magnon-induced kink and a large EMC strength of $\sim 3$ comparable to experimental measurements, demonstrating the generality of the framework. Our work closes a longstanding gap in the quantitative understanding of transport in magnetic systems and provides a predictive foundation for examining magnon-mediated phenomena.

Comments19 pages, 3 figures

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑