Abstract

The paper derives a symmetry-based real-space invariant showing that Bloch wavefunctions at high-symmetry momenta must vanish at certain positions in the unit cell, defining a band’s dark set. It demonstrates how these symmetry-enforced zeros can diagnose band topology from local density of states measurements, with applications to 1H transition metal dichalcogenides, the Haldane model, the BHZ model, kagome metals, and twisted bilayer graphene.

Abstract

The paper derives a symmetry-based real-space invariant showing that Bloch wavefunctions at high-symmetry momenta must vanish at certain positions in the unit cell, defining a band’s dark set. It demonstrates how these symmetry-enforced zeros can diagnose band topology from local density of states measurements, with applications to 1H transition metal dichalcogenides, the Haldane model, the BHZ model, kagome metals, and twisted bilayer graphene.

Abstract

The paper derives a symmetry-based real-space invariant showing that Bloch wavefunctions at high-symmetry momenta must vanish at certain positions in the unit cell, defining a band’s dark set. It demonstrates how these symmetry-enforced zeros can diagnose band topology from local density of states measurements, with applications to 1H transition metal dichalcogenides, the Haldane model, the BHZ model, kagome metals, and twisted bilayer graphene.

Abstract

The paper derives a symmetry-based real-space invariant showing that Bloch wavefunctions at high-symmetry momenta must vanish at certain positions in the unit cell, defining a band’s dark set. It demonstrates how these symmetry-enforced zeros can diagnose band topology from local density of states measurements, with applications to 1H transition metal dichalcogenides, the Haldane model, the BHZ model, kagome metals, and twisted bilayer graphene.