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.

arXiv comment16 pages, 3 figures

References in corpus (28)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• The electronic properties of graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Topological Photonics
• WannierTools: An open-source software package for novel topological materials
• Topological Crystalline Insulators
• Topological nodal semimetals
• Kwant: a software package for quantum transport
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides
• Topological Bands for Ultracold Atoms
• Electronic structures and theoretical modelling of two-dimensional group-VIB transition metal dichalcogenides
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• Hourglass Fermions
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Insulating Ferromagnetism in La${}_4$Ba${}_2$Cu${}_2$O${}_{10}$: an \textit{Ab Initio} Wannier Function Analysis
• Spin-Orbit Semimetals in the Layer Groups
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Topological Insulators with Commensurate Antiferromagnetism
• Circumventing the no-go theorem: A single Weyl point surrounded by nodal walls
• Magnetic higher-order nodal lines
• Qsymm: Algorithmic symmetry finding and symmetric Hamiltonian generation
• SpaceGroupIrep: A package for irreducible representations of space group
• Tight-Binding Studio: A Technical Software Package to Find the Parameters of Tight-Binding Hamiltonian
• NanoNET: an extendable Python framework for semi-empirical tight-binding models
• Encyclopedia of emergent particles in three-dimensional crystals
• Antiferromagnetic crystalline topological insulators

Cited by in corpus (21)

• Sign-reversible valley-dependent Berry phase effects in 2D valley-half-semiconductors
• Systematic investigation of emergent particles in type-III magnetic space groups
• Encyclopedia of emergent particles in type-IV magnetic space groups
• Single Pair of Weyl Points in Nonmagnetic Crystals
• Doubled Quantum Spin Hall Effect with High-Spin Chern Number in $\alpha$-Antimonene and $\alpha$-Bismuthene
• Quasi-one-dimensional spin transport in altermagnetic $Z^3$ nodal net metals
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• 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
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Skin Effect of Nonlinear Optical Responses in Antiferromagnets
• Two-dimensional half Chern-Weyl semimetal with multiple screw axes
• Controllable Weyl Nodes and Fermi Arcs from Floquet Engineering Triple Fermions
• Upper bound of a band complex
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Two-dimensional orbital-obstructed insulators with higher-order band topology
• Identifying topological excitonic insulators via bulk-edge correspondence
• Hilbert band complexes and their applications
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model