5 papers
Quantum-State Projectors on Grassmannian: Geometry, Holonomy, and Topology
Shin-Ming Huang
An isolated group of bands in an -level quantum system defines a rank- spectral projector and hence a map into the complex Grassmannian . For a smooth g…
Exploring Grassmann manifolds in topological systems via quantum distance
Shin-Ming Huang, Dimitrios Giataganas
Quantum states defined over a parameter space form a Grassmann manifold. To capture the geometry of the associated gauge structure, gauge-invariant quantities are essential. We emp…
A Gauss-Bonnet Theorem for Quantum States: Gauss Curvature and Topology in the Projective Hilbert Space
Shin-Ming Huang
Geometry and topology are fundamental to modern condensed matter physics, but their precise connection in quantum systems remains incompletely understood. Here, we develop an analy…
Theory of Spiral Magnetism in Weyl semimetal SmAlSi
Lasin Thaivalappil, Rahul Verma, Hsin Lin +2
Recent neutron scattering and thermodynamic measurements suggest that Weyl electrons in the emergent Weyl semimetal SmAlSi mediate unconventional magnetic interactions and induce s…
Atomically thin obstructed atomic insulators with robust edge modes and quantized spin Hall effect
Rahul Verma, Shin-Ming Huang, Bahadur Singh
Symmetry-protected edge states serve as direct evidence of nontrivial electronic topology in atomically thin materials. Finding these states in experimentally realizable single-pha…