论文标题
非晶体拓扑超导体
Noncrystalline topological superconductors
论文作者
论文摘要
拓扑绝缘子具有庞大的构成对应关系，已在大量的非晶体材料上实现，其中无定形网络，准晶体和分形晶格是最杰出的。相比之下，由于它们的成核发生在具有费米动量的良好定义的费米表面周围，其成核发生在量子晶体的领域以外的拓扑超导体尚未得到利用，其存在的存在存在于基础的翻译对称性上。在这里，我们确定了一个非晶状体狄拉克材料的家族，这些材料没有时间逆转（$ {\ Mathcal t} $）和翻译对称性，在该材料上，合适的本地或现场配对会产生拓扑超导体。我们在嵌入二维平面空间中的所有上述非晶平台上展示了这种结果。由此产生的非晶拓扑超导体具有量化的拓扑不变性（Bott Index和本地Chern Marker）和Harbour borbar bortost bortimust的一维Majorana边缘模式，类似于$ {\ MATHCAL T} $ - ODD $ P+P+$ P+IP $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ IP $ $ $ $ IP $配对非Crystalline材料。
Topological insulators, featuring bulk-boundary correspondence, have been realized on a large number of noncrystalline materials, among which amorphous network, quasicrystals and fractal lattices are the most prominent ones. By contrast, topological superconductors beyond the realm of quantum crystals are yet to be harnessed, as their nucleation takes place around a well-defined Fermi surface with a Fermi momentum, the existence of which rests on the underlying translational symmetry. Here we identify a family of noncrystalline Dirac materials, devoid of time-reversal (${\mathcal T}$) and translational symmetries, on which a suitable local or on-site pairing yields topological superconductors. We showcase this outcome on all the above mentioned noncrystalline platforms embedded in a two-dimensional flat space. The resulting noncrystalline topological superconductors possess quantized topological invariants (Bott index and local Chern marker) and harbor robust one-dimensional Majorana edge modes, analogs of ${\mathcal T}$-odd $p+ip$ pairing in noncrystalline materials.
