Hybrid Schrödinger-Ginzburg-Landau (Sch-GL) approach to study of superconducting integrated structures

IF 0.7 4区化学 Q4 CHEMISTRY, MULTIDISCIPLINARY

Molecular Crystals and Liquid Crystals Pub Date : 2023-10-12 DOI:10.1080/15421406.2023.2262299

K. Pomorski, B. Stojewski

引用次数: 0

Abstract

AbstractHybrid Schrödinger-Ginzburg-Landau approach is based on the fact of the mathematical similarity of Ginzburg-Landau (GL) and Schrödinger formalisms. Starting from Schrödinger approach by replacing the term V (x)−E with the term α(x)+β(x)|ψ(x)|2 we get the Ginzburg-Landau equation. In the proposed relaxation algorithm, we use one- and two-dimensional ground energy solutions of the Schrödinger equation and apply them as a starting trial solution for the GL relaxation method. The obtained numerical results and used methodology form the basis of the simulation platform for studying superconducting integrated structures and modeling various superconducting devices, including their time-dependent geometry.Keywords: Ginzburg-Landaurelaxation methodsuperconductivitysuperconducting integrated structures Disclosure statementNo potential conflict of interest was reported by the author(s).

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混合Schrödinger-Ginzburg-Landau (Sch-GL)方法研究超导集成结构

混合Schrödinger-Ginzburg-Landau方法是基于金兹堡-朗道(GL)和Schrödinger形式的数学相似性。从Schrödinger方法出发，用α(x)+β(x)|ψ(x)|2代替V (x)−E项，我们得到了金兹堡-朗道方程。在提出的松弛算法中，我们使用Schrödinger方程的一维和二维地面能量解，并将它们作为GL松弛方法的起始试验解。所获得的数值结果和使用的方法构成了研究超导集成结构和模拟各种超导器件(包括其随时间变化的几何结构)的仿真平台的基础。关键词:Ginzburg-Landaurelaxation方法超导超导集成结构披露声明作者未报告潜在利益冲突。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Molecular Crystals and Liquid Crystals 化学-晶体学

CiteScore

1.20

自引率

14.30%

发文量

248

审稿时长

2 months

期刊介绍： Established in 1966, Molecular Crystals and Liquid Crystals is a world-leading journal publishing original research papers in both an experimental and theoretical nature in three areas of specialization: liquid crystals, molecular crystals, and low-dimensional solids. These cover, but are not limited to: Liquid Crystals: -Electro- and magneto-optical phenomena; thermodynamics; phase transitions; structure; NMR and orientation-controlled spectroscopy; theory. Molecular Crystals: -Spectroscopy; energy and charge transfer; solid state reactions; photo and radiation effects Low-dimensional Solids: -Structure, electronic, magnetic, and optical properties; transport mechanisms The journal publishes research papers, review papers, and book reviews. In all three areas, experimental manuscripts describing both preparation and properties will be considered. Papers that describe determination of crystal structure alone are not encouraged unless some solid state forces (hydrogen bonding, charge transfer, etc.) are playing a significant role and/or some solid state properties of the materials are measured.