MagneticKP: A package for quickly constructing $\mathbf{k}\cdot \mathbf{p}$ models of magnetic and non-magnetic crystals

Abstract

We propose an efficient algorithm to construct $\mathbf{k}\cdot \mathbf{p}$ effective Hamiltonians, which is much faster than the previously proposed algorithms. This algorithm is implemented in MagneticKP package. The package applies to both single-valued (spinless) and double-valued (spinful) cases, and it works for both magnetic and nonmagnetic systems. By interfacing with SpaceGroupIrep or MSGCorep packages, it can directly output the $\mathbf{k}\cdot \mathbf{p}$ Hamiltonian around arbitrary momentum and expanded to arbitrary order in $k$.

10 pages, 2 figures, 1 table

References in corpus (5)

• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• SpaceGroupIrep: A package for irreducible representations of space group
• MSGCorep: A package for corepresentations of magnetic space groups
• A programmable $k\cdot p$ Hamiltonian method and application to magnetic topological insulator MnBi${}_2$Te${}_4$

Cited by in corpus (8)

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• Stable Higher-Order Topological Dirac Semimetals with ${\mathbb{Z}}_2$ Monopole Charge in Alternating-twisted Multilayer Graphenes and beyond
• Theory for Cd${}_3$As${}_2$ thin films in the presence of magnetic fields
• Existence of Mexican-hat dispersion and symmetry group of a layer
• Hilbert band complexes and their applications
• ToMSGKpoint: A user-friendly package for computing symmetry transformation properties of electronic eigenstates of nonmagnetic and magnetic crystalline materials
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups