论文标题
在超导拓扑晶体绝缘子的表面旋转异常的超导拓扑晶体绝缘子中的双主要涡流零模式
Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
论文作者
论文摘要
众所周知，时间逆转和$ n $折的旋转对称性（$ n = 2,4,6 $）的相互作用会带来由于表面旋转异常而导致的$ n $表面狄拉克锥的新的拓扑结晶绝缘子（TCIS）。我们表明，这些TCI表面上接近诱导的$ S $ - 波超导性产生了一个拓扑超导阶段，在该阶段中，两个Majorana零模式与涡流绑定到涡流，而$ n $ fold的旋转对称性（$ n = 2,4,6 $）富含$ y的topogical $ n $ tobb $ tobb $ tobb $ tobb $ tobb $ tobbbb $ tobbbb y vort vort vort vort vort vort vort vortex clotigatizon pogation。 $ \ mathbb {z} _2 \ times \ times \ mathbb {z} _2 $。使用具有$ S $ - 波超导率和两倍旋转对称性的三维高旋转拓扑绝缘子的模型，我们表明，随着化学势的增加，涡流的一端变化的Majorana零模式的数量是$ 2 \ to1 \ to1 \ to1 \ tot to to to to to to to tosogical topological topological dopological dopological dopological dopological dopological dopologic'此外，我们表明其他磁性磁对称进一步增强了拓扑分类为$ \ mathbb {z} \ times \ times \ mathbb {z} $
The interplay of time-reversal and $n$-fold rotation symmetries ($n=2,4,6$) is known to bring a new class of topological crystalline insulators (TCIs) having $n$ surface Dirac cones due to surface rotation anomaly. We show that the proximity-induced $s$-wave superconductivity on the surface of these TCIs yields a topological superconducting phase in which two Majorana zero modes are bound to a vortex, and that $n$-fold rotation symmetry ($n=2,4,6$) enriches the topological classification of a superconducting vortex from $\mathbb{Z}_2$ to $\mathbb{Z}_2\times\mathbb{Z}_2$. Using a model of a three-dimensional high-spin topological insulator with $s$-wave superconductivity and two-fold rotation symmetry, we show that, with increasing chemical potential, the number of Majorana zero modes at one end of a vortex changes as $2\to1\to0$ through two topological vortex phase transitions. In addition, we show that additional magnetic-mirror symmetry further enhances the topological classification to $\mathbb{Z} \times \mathbb{Z}$
