Motivated by recent experimental studies that have found signatures of a correlated insulator phase and tuning superconductivity in twisted bilayer graphene, we study the temperature-dependent conductivity, the spin correlation and the superconducting pairing correlation within a two-orbital Hubbard model on an emergent honeycomb lattice. The evaluation of the temperature dependence of the conductivity demonstrates that there is a metal-insulator transition, and the Mott phase at strong coupling is accompanied by antiferromagnetic order. The electronic correlation drives a $d+id$ superconducting pairing to be dominant over a wide filling region. All of the dc conductivity, the spin correlation and the superconductivity are suppressed as the interlayer coupling strength increases, and the critical $U_c$ for the metal-insulator transition is also reduced. Our intensive numerical results reveal that twisted bilayer graphene should be a uniquely tunable platform for exploring strongly correlated phenomena.

中文翻译：

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双层石墨烯中的金属-绝缘体跃迁和显性+同构对对称性

根据最近的实验研究的动机，发现扭曲的双层石墨烯具有相关的绝缘体相和调谐超导性，我们研究了出现的蜂窝晶格上两轨道哈伯德模型内与温度相关的电导率，自旋相关性和超导配对相关性。对电导率的温度依赖性的评估表明，存在金属-绝缘体跃迁，并且在强耦合下的Mott相伴有反铁磁序。电子关联驱动$d+\mathrm{一世}d$超导对在广泛的填充区域占主导地位。随着层间耦合强度的增加，所有的直流电导率，自旋相关性和超导性均受到抑制，临界${ü}_C$金属-绝缘体的转变也减少了。我们密集的数值结果表明，扭曲的双层石墨烯应该是探索强相关现象的独特可调谐平台。