Diagonal-hopping control of superradiant photon-current routing in a two-dimensional Rabi-Hofstadter lattice
Phys. Rev. A 114, 043740 – Published 29 October, 2026
DOI: https://doi.org/10.1103/lmf5-3j8s
Abstract
We investigate the routing of ground-state photon currents in a two-dimensional Rabi-Hofstadter lattice with nearest-neighbor and diagonal photon hopping, threaded by a column-alternating Peierls flux. Calculations with complex-valued infinite projected entangled-pair states, supported by a coherent-state analysis, reveal a superradiant bond-current pattern with nonzero square-loop chirality, which diagonal hopping redistributes between the triangular subloops of each plaquette. For the parameters considered here, reversing the sign of the diagonal hopping enhances the triangular-loop chiralities, some of which then oppose the square-loop chirality, while a triangular-flux imbalance selects one of the two diagonal channels. Their combined action produces square-dominant, triangular-enhanced, diagonal-selected, and mixed current patterns.