A $k\cdot p$ effective Hamiltonian generator

Abstract

$k\cdot p$ effective Hamiltonian is important for theoretical analysis in condensed matter physics. Based on the 'kdotp-symmetry' package, we develop an upgraded package named 'kdotp-generator'. This generator takes in arbitrary magnetic symmetries with their representations and returns symmetry-allowed $k\cdot p$ Hamiltonians. Using this package, we calculate $k\cdot p$ Hamiltonians for irreducible corepresentations in 1651 magnetic space groups up to the third order, and their linear coupling to external fields including the electromagnetic field and the strain tensor. We hope that the package will facilitate related research in the future.

arXiv comment6 pages, 1 figure

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Cited by in corpus (8)

• Enumeration of spin-space groups: Towards a complete description of symmetries of magnetic orders
• Encyclopedia of emergent particles in type-IV magnetic space groups
• Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling
• VASP2KP: kp models and Lande g-factors from ab initio calculations
• Third-order charge transport in a magnetic topological semimetal
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Constructions and Applications of Irreducible Representations of Spin-Space Groups
• Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems