混合维t-J模型中的介子形成
Meson formation in mixed-dimensional t-J models
摘要：
掺杂莫特绝缘体的惊人特性是许多量子材料的核心，包括过渡金属氧化物和有机材料。解开在这些系统中观察到的复杂现象的关键在于理解自旋和电荷自由度的相互作用。其中一个争论最多的问题是关于自旋起伏背景下载流子的性质。为了阐明这个问题，我们提出了一个简化的模型与混合维，其中孔通过莫特绝缘体单向移动，而自旋交换相互作用是二维的。通过研究这个系统中的单个空穴，我们找到了形成介子束缚态的直接证据，这些束缚态由一串位移自旋连接-这是在模型的1D极限中获得的自旋-电荷分离的前兆。我们的预测可以在量子气体显微镜中使用超冷原子进行测试，允许直接成像自旋子和holon，并揭示我们在这个模型中预测的短程隐藏弦序。
英文摘要：
Surprising properties of doped Mott insulators are at the heart of many quantum materials, including transition metal oxides and organic materials. The key to unraveling complex phenomena observed in these systems lies in understanding the interplay of spin and charge degrees of freedom. One of the most debated questions concerns the nature of charge carriers in a background of fluctuating spins. To shed new light on this problem, we suggest a simplified model with mixed dimensionality, where holes move through a Mott insulator unidirectionally while spin exchange interactions are two dimensional. By studying individual holes in this system, we find direct evidence for the formation of mesonic bound states of holons and spinons, connected by a string of displaced spins -- a precursor of the spin-charge separation obtained in the 1D limit of the model. Our predictions can be tested using ultracold atoms in a quantum gas microscope, allowing to directly image spinons and holons, and reveal the short-range hidden string order which we predict in this model.
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