• 文献标题:   Higher-order topological superconductivity in twisted bilayer graphene
  • 文献类型:   Article
  • 作  者:   CHEW A, WANG YJ, BERNEVIG BA, SONG ZD
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1103/PhysRevB.107.094512
  • 出版年:   2023

▎ 摘  要

We show that introducing spin-singlet or spin-triplet superconductivity into twisted bilayer graphene induces higher-order topological superconductivity. Multiple copies of C2zT-protected Majorana Kramers pairs appear at corners on pairing domain walls. The topology originates from the anomaly analyzed in Song et al.-the absence of a lattice support-of the single-valley band structure of twisted bilayer graphene, which is protected by C2zT and approximate particle-hole symmetry P. We prove that any pairing (spin-singlet or spin-triplet) term preserving valley-U(1), spin-SU(2), time-reversal, C2zT, and P must drive the system into a higher-order topological superconductor. Here spin-SU(2) is the global spin-SU(2) for the singlet pairing and is broken to U(1) for the triplet pairing. Using a Dirac Hamiltonian, we derive the corner modes and confirm with numerics. These corner states are stable even if P is weakly broken, which is true in experimental setups. Finally, we suggest experimental detection via the fractional Josephson effect in a TBG-TSC Josephson junction.