含稀空穴的t-J模型中的单极、禁闭和电荷局域化
Monopoles, confinement and charge localization in the t-J model with dilute holes
摘要：
基于紧致的相互Chern-Simons规范理论，给出了方格子上的t $-$ J模型的量子场论描述.我们发现，由于存在非微扰的等离子体配置从反铁磁背景，holon（携带电荷）的线性限制和强烈的本地化，即使没有考虑到外部的无序。相应地，平移对称性在基态自发破缺。这种奇异的局部化不同于安德森局域化，并且本质上植根于t $-$ J模型的内在Mott物理。最后，提出了一个有限温度相图。从规范理论的角度，将面内电阻率测量中观察到的金属-绝缘体相变归结为约束-解除约束相变。转变的特点是由序参量“Polyakov线”。
英文摘要：
We present a quantum field theoretic description on the t$-$J model on a square lattice with dilute holes (i.e. near half-filling), based on the compact mutual Chern-Simons gauge theory. We show that, due to the presence of non-perturbative monopole plasma configuration from the antiferromagnetic background, holons (carrying electric charge) are linearly confined and strongly localized even without extrinsic disorder taken into account. Accordingly, the translation symmetry is spontaneously broken at ground state. Such an exotic localization is distinct from Anderson localization and essentially rooted in intrinsic Mott physics of the t$-$J model. Finally, a finite-temperature phase diagram is proposed. The metal-insulator transition observed in in-plane resistivity measurement is identified to a confinement-deconfinement transition from the perspective of gauge theory. The transition is characterized by the order parameter "Polyakov-line".
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