论文标题
三角晶格哈伯德模型中的掺杂的莫特绝缘子
Doped Mott Insulators in the Triangular Lattice Hubbard Model
论文作者
论文摘要
我们研究了三角形晶格哈伯德模型中莫特绝缘子的演变，这是在强和中间耦合极限的孔掺杂$δ$的函数。使用高级密度矩阵重新归一化组（DMRG）方法，在轻孔掺杂$δ\ Lessim 10 \％$下，我们发现强和中间耦合之间存在显着差异。值得注意的是，在中间耦合时，出现了异常的金属状态，其旋转相关性短，但旋转式手持顺序长。此外，未观察到清晰的费米表面或波形矢量，这种手性金属也表现出交错的环电流，从而破坏了翻译对称性。这些特征随着相互作用强度或进一步掺杂而消失。在强耦合下，绝缘磁体的120度磁序持续使用光掺杂，并产生具有良好定义的费米表面的孔口袋。在进一步的掺杂时，在强和中间耦合处都发现了$δ\大约10 \％\ sim 20 \％$ SDW订单和相干孔费米口袋。在更高的兴奋剂$δ\ gtrsim 20 \％$下，SDW订单被抑制，并且旋转的单词库珀对相关性同时增强。我们还简要评论了模型的强粒子孔不对称。
We investigate the evolution of the Mott insulators in the triangular lattice Hubbard Model, as a function of hole doping $δ$ in both the strong and intermediate coupling limits. Using the advanced density matrix renormalization group (DMRG) method, at light hole doping $δ\lesssim 10\%$, we find a significant difference between strong and intermediate couplings. Notably, at intermediate coupling an unusual metallic state emerges, with short ranged spin correlations but long ranged spin-chirality order. Moreover, no clear Fermi surface or wave-vector is observed, this chiral metal also exhibits staggered loop current, which breaks the translational symmetry. These features disappear on increasing interaction strength or on further doping. At strong coupling, the 120 degree magnetic order of the insulating magnet persists for light doping, and produces hole pockets with a well defined Fermi surface. On further doping, $δ\approx 10\%\sim 20\%$ SDW order and coherent hole Fermi pockets are found at both strong and intermediate couplings. At even higher doping $δ\gtrsim 20\%$, the SDW order is suppressed and the spin-singlet Cooper pair correlations are simultaneously enhanced. We also briefly comment on the strong particle-hole asymmetry of the model.
