2026-11-06 横浜国立大学

図1: 本研究で開発した手法の概念図。
<関連情報>
- https://www.ynu.ac.jp/hus/koho/023868/detail.html
- https://journals.aps.org/prl/abstract/10.1103/lrhl-j9bt
超伝導体の密度汎関数理論に基づくコヒーレンス長と侵入深さの第一原理計算 First-Principles Calculation of Coherence Length and Penetration Depth Based on Density Functional Theory for Superconductors
Mitsuaki Kawamura, Takuya Nomoto, Niklas Witt, and Ryotaro Arita
Physical Review Letters Published: 3 November, 2026
DOI:https://doi.org/10.1103/lrhl-j9bt
Abstract
We develop a first-principles framework for evaluating the fundamental length scales of superconductivity, namely the coherence length 0 and the magnetic penetration depth L, within superconducting density functional theory. By incorporating finite-momentum Cooper pairs, we formulate a microscopic scheme that enables a consistent and parameter-free determination of 0, L, and the superconducting transition temperature c on the same theoretical footing. Applying the method to representative elemental superconductors, the A15 compound V3Si, and H3S under high pressure, we obtain results in good agreement with available experimental data and reproduce the type-I or type-II classification across all materials studied. The unified access to 0 and L further allows us to construct the Uemura plot entirely from first principles, showing that higher-c systems are characterized by the simultaneous realization of strong pairing and large phase stiffness. Our results establish a predictive first-principles route to superconducting length scales and provide a microscopic interpretation of empirical correlations in superconductivity.


