MagneticKP: A package for quickly constructing k⋅p models of magnetic and non-magnetic crystals

We propose an efficient algorithm for constructing k⋅p effective Hamiltonians, which is much faster than previously proposed algorithms. This algorithm is implemented in MagneticKP package. The package applies to both single-valued (spinless) and double-valued (spinful) cases, and to both magnetic and nonmagnetic systems. By interfacing with SpaceGroupIrep or MSGCorep packages, it can directly output the k⋅p Hamiltonian around arbitrary momentum point and expanded to arbitrary order in k.本文提出一种构建k·p有效哈密顿量（k⋅p effective Hamiltonian）的高效算法，其运算速度远快于此前已提出的同类算法。该算法已在MagneticKP软件包中实现。此软件包可同时适用于单值（无自旋）与双值（有自旋）情形，且兼容磁性与非磁性体系。通过与SpaceGroupIrep及MSGCorep软件包对接，该工具可直接输出任意动量点附近的k·p有效哈密顿量，并支持按k的任意阶次进行展开。