Salib Daniel J, Roy Bitan
Department of Physics, Lehigh University, Bethlehem, Pennsylvania, 18015, USA.
Sci Rep. 2025 Jan 14;15(1):1918. doi: 10.1038/s41598-024-83573-3.
Driven quantum materials often feature emergent topology, otherwise absent in static crystals. Dynamic bulk-boundary correspondence, encoded by nondissipative gapless modes residing near the Floquet zone center and/or boundaries, is its most prominent example. Here we show that topologically robust gapless dispersive modes appear along the grain boundaries, embedded in the interior of Floquet topological crystals, when the Floquet-Bloch band inversion occurring at a finite momentum ( ) and the Burgers vector ( ) of the constituting array of dislocations satisfy (modulo ). Such nondissipative gapless states can be found near the center and/or edges of the Floquet Brillouin zone, irrespective of the drive protocol. We showcase these general outcomes for two-dimensional driven time-reversal symmetry breaking insulators. Promising experimental platforms hosting such dynamic topological dispersive bands in real materials are discussed.
受驱动的量子材料通常具有涌现拓扑结构，而这在静态晶体中并不存在。由位于弗洛凯区中心和/或边界附近的无耗散无隙模式编码的动态体-边界对应是其最突出的例子。在这里，我们表明，当在有限动量（ ）处发生的弗洛凯-布洛赫能带反转以及构成位错阵列的伯格斯矢量（ ）满足 （模 ）时，拓扑鲁棒的无隙色散模式会出现在嵌入弗洛凯拓扑晶体内部的晶界处。无论驱动协议如何，这种无耗散无隙态都可以在弗洛凯布里渊区的中心和/或边缘附近找到。我们展示了二维受驱动时间反演对称性破缺绝缘体的这些一般结果。还讨论了在实际材料中承载这种动态拓扑色散带的有前景的实验平台。
