GTPack: A Mathematica group theory package for application in solid-state physics and photonics

Abstract

We present the Mathematica group theory package GTPack providing about 200 additional modules to the standard Mathematica language. The content ranges from basic group theory and representation theory to more applied methods like crystal field theory, tight-binding and plane-wave approaches capable for symmetry based studies in the fields of solid-state physics and photonics. GTPack is freely available via http://GTPack.org. The package is designed to be easily accessible by providing a complete Mathematica-style documentation, an optional input validation and an error strategy. We illustrate the basic framework of the package and show basic examples to present the functionality. Furthermore, we give a complete list of the implemented commands including references for algorithms within the supplementary material.

arXiv comment24 pages, 9 figures, 13 tables

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Cited by in corpus (20)

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• Engineering Fragile Topology in Photonic Crystals: Topological Quantum Chemistry of Light
• On the robustness of topological corner modes in photonic crystals
• Dynamically induced magnetism in KTaO${}_3$
• Electron magnetic moment of transient chiral phonons in KTaO${}_3$
• Phonon-mediated dimensional crossover in bilayer CrI3
• The Crystallographic Spin Point Groups and their Representations
• Superconductivity induced by fluctuations of momentum-based multipoles
• Phonon Inverse Faraday effect from electron-phonon coupling
• Group theory study of the vibrational modes and magnetic order in the topological antiferromagnet MnBi${}_2$Te${}_4$
• Identification of strongly interacting organic semimetals
• Energy density as a probe of band representations in photonic crystals
• Multi hole bands and quasi 2-dimensionality in Cr2Ge2Te6 studied by angle-resolved photoemission spectroscopy
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Cesium atoms in cryogenic argon matrix
• Zeeman-type spin splittings in strained d-wave altermagnets
• Learning crystal field parameters using convolutional neural networks
• Composite quadrupole order in ferroic and multiferroic materials
• Correlation Driven Magnetic Frustration and Insulating Behavior of TiF${}_3$
• Low-frequency and Moiré Floquet engineering: a review