论文标题
在非线性谐振链中自发诱导的狄拉克边界状态和数字化
Spontaneously-Induced Dirac Boundary State and Digitization in a Nonlinear Resonator Chain
论文作者
论文摘要
狄拉克方程可以很好地描述许多凝结物质和超材料系统中的低能激发。与这些集体激发(也称为狄拉克质量)相关的质量项可以采用任何值,并且直接负责确定所得带结构是否表现出带隙还是带有线性分散的狄拉克点。对这种狄拉克质量的操纵启发了带结构工程和电子限制的新方法。值得注意的是,已经表明,无质量状态必须定位在任何区域壁,该域壁将不同符号的零质量分开。这些局部状态被称为jackiw-rebbi型(JR-type)狄拉克边界模式,其可调性和本地化特征具有宝贵的技术潜力。在这项研究中,我们从实验上证明,一维狄拉克材料内的非线性可以导致狄拉克质量的域边界的自发外观。我们的实验是在二聚磁机械超材料中进行的,可以完全控制局部材料非线性的幅度和符号,以及狄拉克质量的符号。我们发现,在自发出现的域边界上出现的无质量结合状态与绝缘体内的掺杂位点相似,从而导致材料在激发阈值以上驱动时表现出戏剧性的二元开关。
The low-energy excitations in many condensed matter and metamaterial systems can be well described by the Dirac equation. The mass term associated with these collective excitations, also known as the Dirac mass, can take any value and is directly responsible for determining whether the resultant band structure exhibits a band gap or a Dirac point with linear dispersion. Manipulation of this Dirac mass has inspired new methods of band structure engineering and electron confinement. Notably, it has been shown that a massless state necessarily localizes at any domain wall that divides regions with Dirac masses of different signs. These localized states are known as Jackiw-Rebbi-type (JR-type) Dirac boundary modes and their tunability and localization features have valuable technological potential. In this study, we experimentally demonstrate that nonlinearity within a 1D Dirac material can result in the spontaneous appearance of a domain boundary for the Dirac mass. Our experiments are performed in a dimerized magneto-mechanical metamaterial that allows complete control of both the magnitude and sign of the local material nonlinearity, as well as the sign of the Dirac mass. We find that the massless bound state that emerges at the spontaneously appearing domain boundary acts similarly to a dopant site within an insulator, causing the material to exhibit a dramatic binary switch in its conductivity when driven above an excitation threshold.