Competing orders in the honeycomb lattice $t$-$J$ model

Abstract

We study the honeycomb lattice $t$-$J$ model 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 $\delta <0.05$, we find almost degenerate uniform $d$-wave superconducting ground states coexisting with antiferromagnetic order. While at larger doping $\delta >0.05$, the ground state is an approximately half-filled stripe-ordered state, where 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. The similarity between our results and those on the square lattice contributes to a more comprehensive understanding of doped Mott insulators.

arXiv comment14 pages, 19 figures

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Cited by in corpus (9)

• Pairing tendencies in the doped Kitaev-Heisenberg model
• Half-filled stripe to N$\acute{e}$el antiferromagnetism transition in the $t^{\prime }$-Hubbard model on honeycomb lattice
• Unveiling Stripe-shaped Charge Density Modulations in Doped Mott Insulators
• Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
• Single-layer framework of variational tensor network states
• Competing pair density wave orders in the square lattice $t$-$J$ model
• Determination of ground states of one-dimensional quantum systems using the cluster iTEBD method
• Probing universal imaginary-time relaxation critical dynamics with infinite projected entangled pair states
• Grassmann tensor networks