无序轴子泵浦中的迁移率隙鲁棒性与Středa-Hall分离
Mobility-Gap Robustness and Středa-Hall Separation in Disordered Axion Pumping
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- Yeshiva University（叶史瓦大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究证明无序轴子泵浦的第二陈数在全局谱隙闭合后仍保持量子化，通过大规模计算与有限尺寸标度确认迁移率隙保护，并利用Středa-Hall响应分离伪影，识别出三维幺正安德森相变及临界无序强度。
AI中文摘要：
我们证明，在全局谱隙于$W_g \approx 14.5$处闭合之后，$(3+1)$维无序轴子泵浦的非交换第二陈数仍保持量子化。第二陈数的大规模计算与有限尺寸标度表明，$\mathrm{Ch}_2$在迁移率隙区域（$W \lesssim 16.5$）内稳定趋近于$-1$，而Středa-Hall响应$\partial_\phi\mathrm{Ch}_{0,3}$在全局谱隙闭合后迅速偏离，作为内部对照区分了体迁移率隙保护与有限尺寸伪影。能级统计识别出每个泵浦切片处的三维幺正安德森相变，并将迁移率边瓶颈定位于$\tau=0$，临界无序强度$W_c \approx 18$。
英文摘要：
We show that the noncommutative second Chern number of a $(3+1)$D disordered axion pump remains quantized beyond global spectral gap closure at $W_g \approx 14.5$. Large-scale computation of the second Chern number and finite-size scaling demonstrate convergence of $\mathrm{Ch}_2$ toward $-1$ well into the mobility-gap regime ($W \lesssim 16.5$), while the Středa-Hall response $\partial_ϕ\mathrm{Ch}_{0,3}$ departs rapidly after global spectral gap closure, serving as an internal control that distinguishes bulk mobility-gap protection from finite-size artifacts. Level statistics identify a 3D unitary Anderson transition at each pump slice and locate the mobility-edge bottleneck at $τ=0$, with critical disorder $W_c \approx 18$.
