论文标题

蜂窝晶格$ t $ - $ j $型号的竞争订单

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

论文作者

Xu, Zheng-Tao, Gu, Zheng-Cheng, Yang, Shuo

论文摘要

我们使用Fermionic Tensor网络方法研究了蜂窝晶格$ t $ -j $型号。通过检查具有各种单位细胞的ANSATZ,我们发现了几个不同时期的不同条纹状态与统一状态竞争强烈的时期。在很小的兴奋剂$Δ<0.05 $的情况下,我们发现几乎退化均匀的$ d $ d $ - 超导地面状态与抗铁磁秩序共存。虽然在较大的掺杂$δ> 0.05 $时,基态是一个大约半填充条纹的状态,条纹周期随着孔掺杂$δ$的增加而减小。此外,差异能量最低的条纹总是显示$ d_ {x^2-y^2} $ - 波配对对称性。我们的结果与方格上的结果之间的相似性有助于对掺杂的莫特绝缘子的更全面理解。

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 $δ< 0.05$, we find almost degenerate uniform $d$-wave superconducting ground states coexisting with antiferromagnetic order. While at larger doping $δ> 0.05$, the ground state is an approximately half-filled stripe-ordered state, where the stripe period decreases with increasing hole doping $δ$. 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.

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