4 papers
Symmetry-Enforced Nodal -Wave Magnets
Moritz M. Hirschmann, Akira Furusaki, Max Hirschberger
Owing to their relevance for spintronics, electronic band splitting and spin-polarization textures in magnets are active areas of research. In non-collinear magnets, alternating sp…
Euler band topology in superfluids and superconductors
Shingo Kobayashi, Manabu Sato, Akira Furusaki
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 exa…
Three-dimensional spinless Euler insulators with rotational symmetry
Manabu Sato, Shingo Kobayashi, Motoaki Hirayama +1
The Euler class is a -valued topological invariant that characterizes a pair of real bands in a two-dimensional Brillouin zone. One of the symmetries that permits its d…
Identification of gapless phases by a twisting operator
Hang Su, Tengzhou Zhang, Yuan Yao +1
We propose a general necessary condition for a spin chain with SO(3) spin-rotation symmetry to be gapped. Specifically, we prove that the ground state(s) of an SO(3)-symmetric gapp…