Magnetic properties of moiré quantum dot arrays
arXiv:2208.04636 · doi:10.1103/PhysRevB.108.165152
Abstract
We investigate magnetic properties of quantum dot arrays of moiré triangular superlattices. Starting from a reciprocal space model, we use the projection technique to obtain maximally localized Wannier functions and determine generalized Hubbard model parameters. The many-body Hamiltonian is solved using the exact diagonalization method as a function of the number of electrons in differently shaped quantum dots arrays. Finite spin polarization is observed within a wide range of filling factors for small twist angles and sufficiently strong interactions in most of the studied structures. The prospect for a magnetization controlled by applying a displacement field is presented. In the vicinity of half-filling, signatures of Nagaoka ferromagnetism in moiré materials are seen, which we demonstrate by comparing results with the corresponding on-site Hubbard model.
8 pages, 9 figures
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