Higher-order topological superconductivity in twisted bilayer graphene

Chew, Aaron; Wang, Yijie; Bernevig, B. Andrei; Song, Zhi-Da

doi:10.1103/physrevb.107.094512

Higher-order topological superconductivity in twisted bilayer graphene

Journal Article · Fri Mar 17 00:00:00 EDT 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.107.094512· OSTI ID:2420478

^[1]; ^[2]; Bernevig, B. Andrei ^[3]; Song, Zhi-Da ^[3]

Princeton Univ., NJ (United States); OSTI
Peking Univ., Beijing (China)
Princeton Univ., NJ (United States)

In this work, we show that introducing spin-singlet or spin-triplet superconductivity into twisted bilayer graphene induces higher-order topological superconductivity. Multiple copies of C_2z⁢T-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 C_2z⁢T and approximate particle-hole symmetry $$\mathcal{P}$$. We prove that any pairing (spin-singlet or spin-triplet) term preserving valley-U(1), spin-SU(2), time-reversal, C_2z⁢T, and $$\mathcal{P}$$ 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 $$\mathcal{P}$$ 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.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0016239

OSTI ID:: 2420478

Alternate ID(s):: OSTI ID: 1962181

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 9 Vol. 107; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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