SuperConga: an open-source framework for mesoscopic superconductivity

Abstract

We present SuperConga, an open-source framework for simulating equilibrium properties of unconventional and ballistic singlet superconductors, confined to two-dimensional (2D) mesoscopic grains in a perpendicular external magnetic field, at arbitrary low temperature. It aims at being both fast and easy to use, enabling research without access to a computer cluster, and visualization in real-time with OpenGL. The core is written in C++ and CUDA, exploiting the embarrassingly parallel nature of the quasiclassical theory of superconductivity by utilizing the parallel computational power of modern GPUs. The framework self-consistently computes both the superconducting order-parameter and the induced vector potential, and finds the current density, free energy, induced flux density, local density of states, as well as the magnetic moment. A user-friendly Python frontend is provided, enabling simulation parameters to be defined via intuitive configuration files, or via the command-line interface, without requiring a deep understanding of implementation details. For example, complicated geometries can be created with relative ease. The framework ships with simple tools for analyzing and visualizing the results, including an interactive plotter for spectroscopy. An overview of the theory is presented, as well as examples showcasing the framework's capabilities and ease of use. The framework is free to download from https://gitlab.com/superconga/superconga, which also links to the extensive user manual, containing even more examples, tutorials and guides.

arXiv commentAccepted version. Review-style article, 31 pages and link to software at https://gitlab.com/superconga/superconga

References in corpus (61)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Array Programming with NumPy
• Advanced capabilities for materials modelling with Quantum ESPRESSO
• Kwant: a software package for quantum transport
• Direct imaging of the coexistence of ferromagnetism and superconductivity at the LaAlO3/SrTiO3 interface
• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Tunneling into Current-Carrying Surface States of High T${}_c$ Superconductors
• Quasiclassical Green's function approach to mesoscopic superconductivity
• Scanning nano-SQUID with single electron spin sensitivity
• Vortex phase diagram for mesoscopic superconducting disks
• STM Studies of the Electronic Structure of Vortex Cores in Bi2Sr2CaCu2O8+d
• Observation of half-height magnetization steps in Sr2RuO4
• Novel Circuit Theory of Andreev Reflection
• Experimental Evidence for Giant Vortex States in a Mesoscopic Superconducting Disk
• Superconducting density of states and vortex cores of 2H-NbS2
• Distribution functions in non-equilibrium theory of superconductivity and Andreev spectroscopy in unconventional superconductors
• The Nonlinear Meissner Effect in Unconventional Superconductors
• Colloquium: Nonequilibrium effects in superconductors with a spin-splitting field
• Josephson currents through spin-active interfaces
• Direct Observation of Vortex Shells and Magic Numbers in Mesoscopic Superconducting Disks
• Thermodynamic properties of thin films of superfluid 3He-A
• The scattering problem in non-equilibrium quasiclassical theory of metals and superconductors: general boundary conditions and applications
• Nonequilibrium Superconductivity near Spin Active Interfaces
• Stable large-scale solver for Ginzburg-Landau equations for superconductors
• Quasiclassical theory of superconductivity: a multiple interface geometry(II)
• Vortices in chiral, spin-triplet superconductors and superfluids
• Paramagnetic instability of small topological superconductors
• Spontaneously broken time-reversal symmetry in high-temperature superconductors
• Broken translational and time-reversal symmetry in superconducting films
• Magnetically induced splitting of a giant vortex state in a mesoscopic superconducting disk
• Observation of Caroli-de Gennes-Matricon Vortex States in YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Vortex states in mesoscopic superconducting squares: Formation of vortex shells
• Scanning SQUID Microscope Study of Vortex Polygons and Shells in Weak Pinning Disks of an Amorphous Superconducting Film
• Boundary states with elevated critical temperatures in Bardeen-Cooper-Schrieffer superconductors
• Influence of the sample geometry on the vortex matter in superconducting microstructures
• Properties of mesoscopic superconducting thin-film rings. London approach
• Unconventional vortex states in nanoscale superconductors due to shape-induced resonances in the inhomogeneous Cooper-pair condensate
• Lifshitz transition in the double-core vortex in 3He-B
• Tight-Binding Studio: A Technical Software Package to Find the Parameters of Tight-Binding Hamiltonian
• N-independent Localized Krylov Bogoliubov-de Gennes Method: Ultra-fast Numerical Approach to Large-scale Inhomogeneous Superconductors
• Vortex states in nanoscale superconducting squares: the influence of quantum confinement
• Transformation of the Eilenberger Equations of Superconductivity to a Scalar Riccati Equation
• Spontaneously broken translational symmetry at edges of high-temperature superconductors: thermodynamics in magnetic field
• Direct visualization of vortex ice in a nanostructured superconductor
• Anisotropic non-split zero-energy vortex bound states in a conventional superconductor
• Theory of Disordered Superconductors with Applications to Nonlinear Current Response
• Boundary Superconductivity in the BCS Model
• Strong Coupling Theory of Superconductivity
• TBTK: A quantum mechanics software development kit
• Disorder-robust phase crystal in high-temperature superconductors stabilized by strong correlations
• Efficient numerical method for evaluating normal and anomalous time-domain equilibrium Green's functions in inhomogeneous systems
• Phase Crystals
• Breaking time-reversal and translational symmetry at edges of $d$-wave superconductors: microscopic theory and comparison with quasiclassical theory
• Quasiclassical theory of superconductivity: interfering paths
• Spontaneous symmetry-breaking at surfaces of $d$-wave superconductors: influence of geometry and surface ruggedness
• Nonlinear magnetic field dependence of the conductance in d-wave NIS tunnel junctions
• Spontaneous generation of fractional vortex-antivortex pairs at single edges of high-Tc superconductors
• A finite element method for the quasiclassical theory of superconductivity
• Vortex shells in mesoscopic triangles of amorphous superconducting thin films
• Flux Qubit Based on Hybrid Ferromagnetic-Superconducting Device

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• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors