arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2104.00294cond-mat.mes-hallcond-mat.mtrl-sci
收藏

拓扑声学三相点

Topological acoustic triple point

Sungjoon Park, Yoonseok Hwang, Hong Chul Choi, Bohm-Jung Yang

摘要:

晶体中的声学声子是能带结构中具有三重简并性的基元激发的一个众所周知且普遍存在的例子。由于南武-戈德斯通定理,这种三重简并总是存在于声子能带结构中。在这里,我们表明,声学声子的三重简并可以由拓扑电荷$\mathfrak{q}$,这是一个属性的三带系统与$\mathcal{PT}$对称性,其中$\mathcal{P}$和$\mathcal{T}$是反转和时间反演对称性,分别。因此,我们称具有非平凡$\mathfrak{q}$的三相点为拓扑声学三相点(TATP)。拓扑荷$\mathfrak{q}$可以等价地由纵模的Skyrmion数或横模的Euler数表征,并且这强烈地约束TATP周围的节点结构。在声子和无自旋电子的能带结构中的高对称性动量处,TATP也可以通过$O_h$和$T_h$基团而被保护。TATP周围的非平凡波函数织构可以在声子系统中诱导反常热输运,在电子系统中诱导轨道霍尔效应。我们的理论表明,与Nambu-Goldstone定理相关的无间隙点是发现具有不同拓扑特征的新类退化点的途径。

英文摘要:

Acoustic phonon in a crystalline solid is a well-known and ubiquitous example of elementary excitation with a triple degeneracy in the band structure. Because of the Nambu-Goldstone theorem, this triple degeneracy is always present in the phonon band structure. Here, we show that the triple degeneracy of acoustic phonons can be characterized by a topological charge $\mathfrak{q}$ that is a property of three-band systems with $\mathcal{PT}$ symmetry, where $\mathcal{P}$ and $\mathcal{T}$ are the inversion and the time-reversal symmetries, respectively. We therefore call triple points with nontrivial $\mathfrak{q}$ the topological acoustic triple point (TATP). The topological charge $\mathfrak{q}$ can equivalently be characterized by the skyrmion number of the longitudinal mode, or by the Euler number of the transverse modes, and this strongly constrains the nodal structure around the TATP. The TATP can also be symmetry-protected at high-symmetry momenta in the band structure of phonons and spinless electrons by the $O_h$ and the $T_h$ groups. The nontrivial wavefunction texture around the TATP can induce anomalous thermal transport in phononic systems and orbital Hall effect in electronic systems. Our theory demonstrates that the gapless points associated with the Nambu-Goldstone theorem are an avenue for discovering new classes of degeneracy points with distinct topological characteristics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑