The mechanism underlying charge transport in strongly correlated quantum systems, such as doped antiferromagnetic Mott insulators, remains poorly understood. Here, we study the expansion dynamics of an initially localized hole inside a two-dimensional (2D) Ising antiferromagnet at variable temperature. Using a combination of classical Monte Carlo and truncated-basis methods, we reveal two dynamically distinct regimes: a spin-charge confined region below a critical temperature $T^{*}$, characterized by slow spreading, and a spin-charge deconfined region above $T^{*}$, characterized by an unbounded diffusive expansion. The deconfinement temperature $T^{*}\approx 0.65J_z$ we find is around the Néel temperature $T_{\mathrm{N}}=0.567J_z$ of the Ising background in 2D, but we expect $T^{*}<T_{\mathrm{N}}$ in higher dimensions. In both regimes we find that the mobile hole does not thermalize with the Ising spin background on the considered time scales, indicating weak effective coupling of spin and charge degrees of freedom. Our results can be qualitatively understood by an effective parton model and can be tested experimentally in state-of-the-art quantum gas microscopes.

中文翻译：

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掺杂伊辛模型中热自旋电荷去限制的动态特征

强相关量子系统（例如掺杂的反铁磁莫特绝缘体）中电荷传输的机制仍然知之甚少。在这里，我们研究了在可变温度下二维 (2D) Ising 反铁磁体内部初始局部孔的膨胀动力学。结合经典的蒙特卡罗和截断基方法，我们揭示了两种动态不同的状态：低于临界温度的自旋电荷受限区域${吨}^{*}$，以缓慢扩散为特征，以及上方的自旋电荷去限制区域${吨}^{*}$，以无界扩散展开为特征。解压温度${吨}^{*}\approx 0.65{Ĵ}_z$我们发现在 Néel 温度附近${吨}_{\mathrm{ñ}}=0.567{Ĵ}_z$2D 中的伊辛背景，但我们期望${吨}^{*}<{吨}_{\mathrm{ñ}}$在更高的维度。在这两种情况下，我们发现移动空穴在所考虑的时间尺度上不会随着伊辛自旋背景热化，这表明自旋和电荷自由度的有效耦合较弱。我们的结果可以通过有效的部分子模型来定性地理解，并且可以在最先进的量子气体显微镜中进行实验测试。