Entanglement renormalization group flow of the Haah cubic code produces another fracton model with 4 qubits per lattice site, dubbed as the Haah B-code. We provide a schema that generalizes both models to stabilizer codes on any finite group with 2q qubits per site and labeled by multi-subsets of the finite group and a symmetric binary matrix.
Cite
@article{arxiv.1902.04543,
title = {Generalized Haah Codes and Fracton Models},
author = {Kevin T. Tian and Zhenghan Wang},
journal= {arXiv preprint arXiv:1902.04543},
year = {2019}
}