Competing orders in doped Mott-insulator

We study the honeycomb lattice doped Mott-insulator using the fermionic tensor network approach. By examining the ansatz with various unit cells, we discover several different stripe states with different periods that compete strongly with uniform states. At very small doping $delta 0.05$, the ground state is an approximately half-filled stripe ordered state, and the stripe period decreases with increasing hole doping $delta$. Furthermore, the stripe states with the lowest variational energy always display $d_{x^2-y^2}$-wave pairing symmetry. If time permits, I will also mention our unpublished results for square lattice tJ model.