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TT: Fachverband Tiefe Temperaturen
TT 6: Topological Superconductors
TT 6.5: Vortrag
Montag, 9. März 2026, 10:30–10:45, CHE/0091
Euler band topology in superfluids and superconductors — •Shingo Kobayashi1, Manabu Sato2, and Akira Furusaki1 — 1RIKEN Center for Emergent Matter Science, Wako, Saitama, Japan — 2Department of Applied Physics, University of Tokyo, Bunkyo, Tokyo, Japan
Real band topology often appears in systems with space-time inversion symmetry and is characterized by invariants such as the Euler and second Stiefel-Whitney classes. Here, we examine the generic band topology of Bogoliubov de-Gennes (BdG) Hamiltonians with C2zT symmetry, where C2z and T are twofold rotation about the z axis and time-reversal symmetries, respectively. We discuss the Euler band topology of superfluids and superconductors in the DIII and CI Altland-Zirnbauer symmetry classes. We demonstrate our theory with two examples: the superfluid 3He B phase in magnetic field and the nodal lines of multi-orbital s-wave superconductors in class CI. These results provide a theoretical framework for exploring Euler band topology in superfluids and superconductors and offer a unified understanding of the robustness of topological phases under TRSB perturbations, including Majorana Ising physics and higher-order topology.
Keywords: Topological superconductivity; Euler class; Superfluid helium 3; Iron-based superconductor