AI 中文总结
研究反常霍尔晶体中相反手性边缘间的相互作用，通过微观含时哈特里 - 福克计算发现降低载流子密度可软化长波长横向声子模式，使其与边缘色散重叠实现耦合，非局部测量可验证，实现了具有延迟边缘间耦合的卢廷格液体变体。
AI 中文摘要
反常霍尔晶体将自发电子结晶与陈绝缘能隙相结合，支持手性边缘模式和低能电子声子。我们表明，这种共存产生了与普通陈绝缘体不同的动力学效应：横向体声子可以介导样品相对两侧反向传播的手性边缘模式之间的延迟相互作用，实现具有延迟边缘间耦合的卢廷格液体变体。通过对菱面体五层层状石墨烯进行微观含时哈特里 - 福克计算，我们发现降低载流子密度会软化长波长横向声子模式。在这种不稳定性区域附近，由此产生的边界投影声子连续体不可避免地与边缘色散重叠，从而实现它们的耦合。一个确凿的探测方法是非局部测量：施加到一个边缘的驱动可以在另一个边缘上诱导响应，延迟时间为横向声子穿过样品的飞行时间。
英文摘要
An anomalous Hall crystal combines spontaneous electronic crystallization with a Chern insulating gap, supporting both chiral edge modes and low-energy electronic phonons. We show that this coexistence produces a distinct dynamical effect from ordinary Chern insulators: transverse bulk phonons can mediate a retarded interaction between counterpropagating chiral edge modes on opposite sides of the sample, realizing a Luttinger-liquid variant with delayed inter-edge coupling. Using microscopic time-dependent Hartree--Fock calculations for rhombohedral pentalayer graphene, we find that lowering the carrier density softens the long-wavelength transverse phonon mode. Near this instability regime, the resulting boundary-projected phonon continuum inevitably overlaps with the edge dispersion, thereby enabling their coupling. A smoking-gun probe is a nonlocal measurement: a drive applied to one edge can induce a response on the other edge, delayed by the transverse phonon time of flight across the sample.
Comments5 pages, 4 figures. Comments are welcome
