An Efficient and Accurate Semiconductor Quantum Dot Model Implemented by COMSOL

We present an efficient and relatively accurate computational model for semiconductor quantum dots (QDs) using COMSOL's Mathematics Module. The approach combines a one‐band effective mass model for the conduction band with a four‐band k.p Hamiltonian for the valence band, incorporating heavy‐hole and light‐hole band mixing. Burt–Foreman operator ordering is applied to resolve differential operator ambiguities, and ellipticity conditions are enforced to eliminate spurious solutions. Unlike bulk material parameters, which often violate ellipticity, we identify an adjustable parameter space for the Luttinger parameter to ensure numerical stability and physical validity. The model supports arbitrary QD geometries and material compositions, demonstrated through simulations of InAs/GaAs pyramidal QDs. Results satisfy symmetry‐based predictions or requirements, confirming the energy‐level degeneracy and wavefunction profiles. Implemented on a widely available computer‐aided engineering platform, this method offers accessibility and flexibility for researchers and engineers, providing a practical tool for QD design and a benchmark for more complex models.