MagneticTB: A package for tight-binding model of magnetic and non-magnetic materials

Abstract

We present a Mathematica program package MagneticTB, which can generate the tight-binding model for arbitrary magnetic space group. The only input parameters in MagneticTB are the (magnetic) space group number and the orbital information in each Wyckoff positions. Some useful functions including getting the matrix expression for symmetry operators, manipulating the energy band structure by parameters and interfacing with other software are also developed. MagneticTB can help to investigate the physical properties in both magnetic and non-magnetic system, especially for topological properties.

16 pages, 3 figures

References in corpus (8)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• The electronic properties of graphene
• Topological Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• SpaceGroupIrep: A package for irreducible representations of space group
• Encyclopedia of emergent particles in three-dimensional crystals
• Antiferromagnetic crystalline topological insulators

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• FeGe as a building block for the kagome 1:1, 1:6:6, and 1:3:5 families: hidden d-orbital decoupling of flat band sectors, effective models and interaction Hamiltonians
• Mirror real Chern insulator in two and three dimensions
• Projected spin texture as a bulk indicator of fragile topology
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• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
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