Phase-field model of strain effect on superconducting transitions and mesoscale pattern formation

被引：0

作者：

Fortino, Daniel ^{[1
]}

Hong, Qingguo ^{[3
,5
]}

Ma, Limin ^{[3
,4
]}

Xu, Jinchao ^{[3
]}

Chen, Long-Qing ^{[1
,2
,3
]}

机构：

[1] Penn State Univ, Dept Mat Sci & Engn, University Pk, PA 16802 USA

[2] Penn State Univ, Dept Engn Sci & Mech, University Pk, PA 16802 USA

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[4] Wuhan Univ, Sch Math & Stat, Wuhan, Peoples R China

[5] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2024年 / 236卷

关键词：

Phase-field model; Ginzburg-Landau theory; Superconductivity; Linear elasticity; GINZBURG-LANDAU THEORY; NUMERICAL-SIMULATION; PRESSURE; TEMPERATURE; SRTIO3;

D O I：

10.1016/j.commatsci.2024.112814

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Despite the extensive research on superconductivity and related phenomena, the effect of the mechanical strain on the superconducting transition and mesoscale pattern formation of a material is not well understood. Here, we develop a phase -field model of strain effect on superconducting phase transitions and vortex pattern formation by coupling linear elasticity with a Time -Dependent Ginzburg-Landau (TDGL) model for superconducting phase transitions. We implement an efficient iterative method based on finite -element discretization for solving the coupled TDGL equation for the complex electronic order parameter, the magnetic equation for the vector magnetic potential, and the mechanical equilibrium equation for the mechanical displacements with arbitrary elastic boundary conditions. We study and discuss the effects of epitaxial strains on the superconducting transition temperature, critical magnetic field, and vortex pattern formation in a superconducting thin film.

引用

页数：6

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