Superconductivity and competing orders in honeycomb $t$-$J$ model: interplay of lattice geometry and next-nearest-neighbor hopping

Zhi Xu, Hong-Chen Jiang, Yi-Fan Jiang

We investigate the extended $t$-$J$ model on honeycomb lattices with next-nearest-neighbor (NNN) electron hopping $t^{\prime }$ and superexchange coupling $J^{\prime }=(t^{\prime }/t{)}^{2}J$ using large-scale…