Projected spin texture as a bulk indicator of fragile topology

Abstract

We study the relationship between projected momentum-space spin textures and Wilson loop winding, proving a map between band topology of and spin topology in certain restricted symmetry settings, relevant to fragile topology. Our results suggest that the spin gap may act as a smoking gun bulk indicator for fragile topology within specific scenarios.

7+5 pages, 1+3 figures

References in corpus (9)

• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Topological Crystalline Insulators
• The space group classification of topological band insulators
• Robustness of the Spin-Chern number
• Topological Euler class as a dynamical observable in optical lattices
• Geometric approach to fragile topology beyond symmetry indicators
• Emergence of Fermi arcs and novel magnetic splitting in an antiferromagnet
• Phase transitions of non-Abelian charged nodal links in a spring-mass system
• Spin-momentum locking from topological quantum chemistry: applications to multifold fermions

Cited by in corpus (6)

• Photo-induced electronic and spin topological phase transitions in monolayer bismuth
• Spin Chern number in altermagnets
• Model Hamiltonian for Altermagnetic Topological Insulators
• Topological Phases in Fractals: Local Spin Chern Marker in the Sierpinski carpet Kane-Mele-Rashba Model
• Quantum geometric bounds in spinful systems with trivial band topology
• Spin Weyl Topological Insulators