AI 中文总结
该研究提出基于电导的逆方案，通过递归格林函数方法计算透射率谱，可从量子输运数据中推断隐形超均匀无序的核心参数χ，为关联无序参数测定提供了实用方法。
AI 中文摘要
隐形超均匀无序系统表现出被强烈抑制的长波长涨落，产生的关联无序对波传播具有异常影响。表征这类系统的核心量是隐形参数χ，它控制无序谱中被排除的傅里叶分量的范围。然而在实际场景中，微观无序构型可能无法直接获取，仅从结构信息确定χ颇具挑战。本文提出一种基于电导的逆方案，以从输运数据中恢复隐形超均匀关联。作为概念验证，我们研究连接到洁净半无限引线的一维紧束缚链中的无自旋费米子，其在位无序通过施加隐形谱S(k)=Θ(|k|-K)生成，其中K=2πχ。采用递归格林函数方法计算与能量相关的透射率，并通过在能量窗口上定义的失配函数与目标谱进行比较。我们发现，分隔高透射率区域与低透射率区域的陡峭下降位置由χ强烈控制，而无序强度W主要影响透射率的绝对幅值。因此，失配函数在接近目标隐形参数处呈现清晰的最小值。我们的结果表明，透射率谱可作为隐形超均匀无序的指纹，为从输运测量中推断关联无序参数提供了实用途径。
英文摘要
Stealthy hyperuniform disordered systems exhibit strongly suppressed long-wavelength fluctuations, producing correlated disorder with unusual consequences for wave propagation. A central quantity characterizing these systems is the stealthiness parameter $χ$, which controls the range of excluded Fourier components in the disorder spectrum. However, in realistic settings, the microscopic disorder configuration may not be directly accessible, making it challenging to determine $χ$ from structural information alone. Here, we propose a conductance-based inverse protocol to recover stealthy hyperuniform correlations from transport data. As a proof of concept, we study spinless fermions in a one-dimensional tight-binding chain connected to clean semi-infinite leads, with on-site disorder generated by imposing a stealthy spectrum $S(k)=Θ(|k|-K)$, where $K=2πχ$. The energy-dependent transmittance is computed using a recursive Green's function method and compared with target spectra through a misfit function defined over an energy window. We show that the position of the sharp drop separating high- and low-transmittance regions is strongly controlled by $χ$, while the disorder strength $W$ mainly affects the absolute magnitude of the transmittance. As a result, the misfit function displays a clear minimum close to the target stealthy parameter. Our results demonstrate that transmittance spectra can serve as fingerprints of stealthy hyperuniform disorder, providing a practical route to infer correlated-disorder parameters from transport measurements.
Comments10 pages, 7 figures
