pyTDGL: Time-dependent Ginzburg-Landau in Python
arXiv:2302.03812 · doi:10.1016/j.cpc.2023.108799
Abstract
Time-dependent Ginzburg-Landau (TDGL) theory is a phenomenological model for the dynamics of superconducting systems. Due to its simplicity in comparison to microscopic theories and its effectiveness in describing the observed properties of the superconducting state, TDGL is widely used to interpret or explain measurements of superconducting devices. Here, we introduce , a Python package that solves a generalized TDGL model for superconducting thin films of arbitrary geometry, enabling simulations of vortex and phase dynamics in mesoscopic superconducting devices. can model the nonlinear magnetic response and dynamics of multiply connected films, films with multiple current bias terminals, and films with a spatially inhomogeneous critical temperature. We demonstrate these capabilities by modeling quasi-equilibrium vortex distributions in irregularly shaped films, and the dynamics and current-voltage-field characteristics of nanoscale superconducting quantum interference devices (nanoSQUIDs).
arXiv comment14 pages, 6 figures, GitHub repository: https://github.com/loganbvh/py-tdgl , online documentation: https://py-tdgl.readthedocs.io/en/latest/
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- Numerical modelling of a vortex-based superconducting memory cell: dynamics and geometrical optimization of a fluxonic quantum dot
- Vortex structure and intervortex interaction in superconducting structures with intrinsic diode effect
- Nucleation and Arrangement of Abrikosov Vortices in Hybrid Superconductor-Ferromagnetic Nanostructure
- Vortex rivers and multiple voltage transitions in superconducting MgB thin films
- Quantum Mechanics of an Abrikosov Vortex in Nanofabricated Pinning Potential
- Scheme for braiding Majorana zero modes in vortices using an STT-matrix
- Streamline controlled rectification of supercurrent in thin-film asymmetric weak links
- Magnetic-field dependent vortex dynamics and critical currents in superconducting microwires with regular large-area perforation by pinholes
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