Quantum Spin Hall Effect in Three Dimensional Materials: Lattice Computation of Z2 Topological Invariants and Its Application to Bi and Sb

By T. Fukui, Y. Hatsugai. 2006

156 citations recorded by the source corpus.

We derive an efficient formula for Z 2 topological invariants characterizing the quantum spin Hall effect. It is defined in a lattice Brillouin zone, which enables us to implement numerical calculations for realistic models even in three dimensions. Based on this, we study the quantum spin Hall effect in Bi and Sb in quasi-two and three dimensions using a tight-binding model.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/38f3fe43e7787be4687329a65e2c4eeada216b5b

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In Atomic and Molecular Physics, and Optics

1. Tanmoy Das
2. Hsin Lin
3. Arun Bansil

Citations in the corpus

• Colloquium : Topological band theory (2016, background): “(Fukui and Hatsugai 2007) Berry connection A(k) and Berry curvature F(k) in Eq.”