单带三角晶格Hubbard模型：来自扭转金刚石同质双层的可调各向异性
Single-band Triangular Lattice Hubbard Model with Tunable Anisotropy from Twisted Diamond Homobilayers
AI总结：
本文提出扭转金刚石同质双层实现单带三角晶格Hubbard模型，通过位移场调控跳跃各向异性，并用密度矩阵重正化群揭示手性自旋液体等丰富相图。
摘要：
具有跳跃各向异性和强相互作用的单带三角晶格Hubbard模型的基态性质至今仍难以捉摸。在此，我们展示了在$Y$谷具有能带极值的扭转金刚石同质双层可以实现具有准一维能带结构的弱耦合链；施加位移场会产生链间跳跃，将这一准一维系统转变为二维系统。其低能物理可以用三角晶格上具有可调跳跃各向异性的局域Wannier函数来描述，为研究各向异性三角晶格Hubbard模型提供了一个有前景的平台。我们进一步采用密度矩阵重正化群方法，在相互作用$U=10t$、各向异性$0.5\leq t'/t\leq 1.5$、半填充条件下研究该模型，获得了丰富的基态相图，包括手性自旋液体相、非磁相和Néel反铁磁相。这项工作首次在莫尔系统中实现了位移场调控的单带三角Hubbard模型各向异性，确立了其作为研究具有可调各向异性的有趣关联物理的有前景平台。
英文摘要：
The ground-state properties of the single-band triangular lattice Hubbard model with hopping anisotropy and strong interactions remain elusive so far. Here we show that twisted diamond homobilayers with band extrema at $Y$ valley can realize weakly-coupled chains with quasi-1D band structure; applying displacement field generates interchain hopping, transforming this quasi-1D system into a 2D one. The low-energy physics can be described by localized Wannier functions on the triangular lattice with tunable hopping anisotropy, providing a promising platform for studying the anisotropic triangular lattice Hubbard model. We further employ density matrix renormalization group to study this model with interaction $U=10t$ and anisotropy $0.5\leq t'/t\leq 1.5$ at half filling, and obtain a rich ground state phase diagram, including a chiral spin liquid phase, non-magnetic phases, and a Néel antiferromagnetic phase. This work provides a first realization of displacement-field tuned anisotropy in a single-band triangular Hubbard model within moiré systems, establishing them as a promising platform to investigate intriguing correlated physics with tunable anisotropy.
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