A new solvable two-dimensional spin lattice model defined on a regular grid of triangular shape is proposed. The hopping amplitudes between sites are related to recurrence coefficients of certain bivariate dual-Hahn polynomials. For a specific choice of the parameters, perfect state transfer and fractional revival are shown to take place.
@article{arxiv.2009.06195,
title = {Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials},
author = {Hiroshi Miki and Satoshi Tsujimoto and Luc Vinet},
journal= {arXiv preprint arXiv:2009.06195},
year = {2022}
}