The physics of the triangular lattice Hubbard model exhibits a rich phenomenology, ranging from a metal-insulator transition, intriguing thermodynamic behavior, and a putative spin liquid phase at intermediate coupling, ultimately becoming a magnetic insulator at strong coupling. In this multimethod study, we combine a finite-temperature tensor network method, minimally entangled thermal typical states (METTS), with two Green-function-based methods, connected-determinant diagrammatic Monte Carlo and cellular dynamical mean-field theory, to establish several aspects of this model. We elucidate the evolution from the metallic to the insulating regime from the complementary perspectives brought by these different methods. We compute the full thermodynamics of the model on a width-four cylinder using METTS in the intermediate to strong coupling regime. We find that the insulating state hosts a large entropy at intermediate temperatures, which increases with the strength of the coupling. Correspondingly, and consistently with a thermodynamic Maxwell relation, the double occupancy has a minimum as a function of temperature which is the manifestation of the Pomeranchuk effect of increased localization upon heating. The intermediate coupling regime is found to exhibit both pronounced chiral as well as stripy antiferromagnetic spin correlations. We propose a scenario in which time-reversal symmetry-broken states compete with stripy-spin states at lowest temperatures.

中文翻译：

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三角格子哈伯德模型中具有竞争阶的莫特绝缘状态

三角晶格哈伯德模型的物理表现出丰富的现象学，包括金属-绝缘体转变、有趣的热力学行为和假定的中间耦合自旋液相，最终成为强耦合的磁绝缘体。在这项多方法研究中，我们将有限温度张量网络方法、最小纠缠热典型状态 (METTS) 与两种基于格林函数的方法、连接行列式图蒙特卡罗和细胞动力学平均场理论相结合，以建立几个该模型的各个方面。我们从这些不同方法带来的互补角度阐明了从金属到绝缘体系的演变。我们在中到强耦合状态下使用 METTS 在宽度为 4 的圆柱体上计算模型的完整热力学。我们发现绝缘状态在中间温度下具有很大的熵，随着耦合强度的增加而增加。相应地，与热力学麦克斯韦关系一致，双占有率具有最小值作为温度的函数，这是加热时局部化增加的波美兰丘克效应的表现。发现中间耦合机制表现出明显的手性和条纹反铁磁自旋相关性。我们提出了一个场景，其中时间反转对称破坏状态在最低温度下与条纹自旋状态竞争。双人入住具有作为温度函数的最小值，这是加热时局部化增加的 Pomeranchuk 效应的表现。发现中间耦合机制表现出明显的手性和条纹反铁磁自旋相关性。我们提出了一个场景，其中时间反转对称破坏状态在最低温度下与条纹自旋状态竞争。双人入住具有作为温度函数的最小值，这是加热时局部化增加的 Pomeranchuk 效应的表现。发现中间耦合机制表现出明显的手性和条纹反铁磁自旋相关性。我们提出了一个场景，其中时间反转对称破坏状态在最低温度下与条纹自旋状态竞争。