AI 中文总结
该论文研究任意强度磁场下带质量费米子的轴沃德恒等式，发现空间调制电场产生的电荷由更高朗道能级主导，为带隙系统的反常输运和光学响应提供微观基础，还揭示弱带隙外尔半金属空间调制手征磁效应的磁阻线性抑制特性。
AI 中文摘要
我们研究了任意强度恒定磁场下带质量费米子的轴沃德恒等式，同时保留微扰电场的任意时空构型。研究表明，空间调制电场会阻止反常项与赝标量项之间的精确抵消，即便在频率低于带质量费米子产生阈值的绝热区域，也会产生局域轴荷源。值得注意的是，与常规磁响应不同，这种电荷产生并非由最低朗道能级贡献主导，而是由更高朗道能级贡献主导。我们的发现为带隙系统中反常诱导输运和反常光学响应提供了微观基础。特别地，我们发现弱带隙外尔半金属中的空间调制手征磁效应表现出磁阻随磁场强度线性抑制的特性，而非著名的二次抑制特性。
英文摘要
We investigate the axial Ward identity for massive fermions under a constant magnetic field at arbitrary strength, maintaining an arbitrary spacetime configuration of a perturbative electric field. We show that a spatially modulated electric field prevents the exact cancellation between the anomaly and pseudoscalar terms, generating a local axial-charge source even in the adiabatic regime where the frequency is subthreshold to massive-fermion production. Remarkably, unlike conventional magnetic responses, this charge generation is dominated not by the contribution of the lowest Landau level, but by those of the higher Landau levels. Our findings provide a microscopic foundation for anomaly-induced transport and anomalous optical responses in gapped systems. In particular, we find that the spatially modulated chiral magnetic effect in weakly gapped Weyl semimetals that exhibits a linear suppression of the magneto-resistance by the magnetic-field strength instead of the renowned quadratic suppression.
