Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces
Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces
复制标题
DOI：
10.1103/physrevb.100.081405
复制
发表时间：
2019-08
影响因子：
3.7
通讯作者：
S. Spurrier;N. Cooper
中科院分区：
文献类型：
--
作者：
S. Spurrier;N. Cooper
我们表明，电子材料与不允许的旋转对称性，强制准周期秩序可以表现出量子振荡，这些是一般与奇异的“螺旋费米面。“这些费米表面是自相交的，其特征在于它们的表面切线的缠绕数--拓扑不变量--大于1。我们计算的量子振荡的性质，在两个实验相关的设置，产生螺旋费米面：一个“近自由电子”的准晶，和扭曲的双层石墨烯。
We show that electronic materials with disallowed rotational symmetries that enforce quasiperiodic order can exhibit quantum oscillations and that these are generically associated with exotic "spiral Fermi surfaces." These Fermi surfaces are self-intersecting, and characterized by a winding number of their surface tangent---a topological invariant---that is larger than one. We compute the nature of the quantum oscillations in two experimentally relevant settings which give rise to spiral Fermi surfaces: a "nearly-free-electron" quasicrystal, and \ang{30} twisted bilayer graphene.