Spinless systems exhibit unique topological characteristics compared to spinful ones,
stemming from their distinct algebra. Without chiral interactions typically linked to spin, an …

The manifold of the fundamental domain of the Brillouin zone is always considered to be a
torus. However, under the synthetic gauge field, the Brillouin manifold can be modified by …

In the field of symmetry-protected topological phases, a common wisdom is that the
symmetries may fix the nontrivial topological classifications, but they alone cannot determine …

In spinless systems, growing attention has recently been attracted to synthetic gauge fields,
which redefine the fundamental crystal symmetries by utilizing the projective algebraic …

Spinless systems exhibit unique topological characteristics compared to spinful ones,
stemming from their distinct algebra. Without chiral interactions typically linked to spin, an …

The Klein bottle Benalcazar-Bernevig-Hughes (BBH) insulator phase plays a pivotal role in
understanding higher-order topological phases. The insulator phase is characterized by a …