论文标题
磁性掺杂CD $ _3 $ as $ _2 $中的单极超导性
Monopole Superconductivity in Magnetically Doped Cd$_3$As$_2$
论文作者
论文摘要
当超导配对发生在具有不同的Chern数字的费米表面之间时，库珀对具有非平凡的浆果相，该相强制执行配对间隙节点。由此产生的配对订单与熟悉的$ s $ - ，$ p $ - 和$ d $ - 波配对订单通过非零对单极管充电，并由monopole Harmonics进行了描述。迄今为止，这种异国情调的单极配对顺序尚未实现实验。因此，我们将磁性掺杂的Dirac半含量CD $ _3 $ as $ _2 $作为候选材料，以实现单极超导性的候选材料，并取决于化学势。对于每种对单极充电的情况，我们都会在所有允许的$ c_ {4h} $对称的磁性掺杂CD $ _3 $ as $ _2 $的对称性的均不可减至的表示中探索均匀配对订单的代表。我们证明了由较高的Chern数量和晶体对称性的拓扑费表面组合而导致的不同高级波浪超导阶的单极类似物的区别。在所有情况下，费米表面周围的超导相绕组的模式都受到拓扑上不变的总绕组数的约束，这仅取决于对单极电荷的，并且需要$ q_p \ neq 0 $ superconconductucting Order中的节点。我们的工作可以指导对拓扑半准CD中的单极订单的进一步实验研究，为$ _2 $，可以推广到具有更高Chern数字的费米表面的其他材料，该材料在高级部分波中强制执行单极配对，例如$ f $ - f $ -Wave-Wave配对。
When superconducting pairing occurs between Fermi surfaces with different Chern numbers, the Cooper pairs possess nontrivial pair Berry phase, which enforces pairing gap nodes. The resulting pairing order is further distinguished from the familiar $s$-, $p$-, and $d$-wave pairing orders by a nonzero pair monopole charge and is described by monopole harmonics. To date, this exotic monopole pairing order is yet to be achieved experimentally. We therefore study the magnetically doped Dirac semimetal Cd$_3$As$_2$ as a candidate material for realizing monopole superconductivity with pair monopole charges $q_p=1$ or $2$, depending on the chemical potential. For each case of pair monopole charge, we explore representatives of uniform pairing orders in all allowed irreducible representations of the $C_{4h}$ symmetry of magnetically doped Cd$_3$As$_2$. We demonstrate the distinctions in the monopole analogs of different higher partial wave superconducting orders that result from the combination of topological Fermi surfaces of higher Chern number and crystalline symmetry. In all cases, the patterns of the superconducting phase winding around a Fermi surface are constrained by the topologically invariant total winding number, which depends only on the pair monopole charge and requires nodes in the $q_p\neq 0$ superconducting order. Our work can guide further experimental investigation of monopole orders in the topological semimetal Cd$_3$As$_2$ and can be generalized to other materials with Fermi surfaces of higher Chern number, which enforce monopole pairing order in higher partial waves, such as the monopole analog of $f$-wave pairing.
