Topological insulators in three dimensions.

By Liang Fu, C. L. Kane, E. Mele. Physical Review Letters, 2006

3,195 citations recorded by the source corpus.

We study three-dimensional generalizations of the quantum spin Hall (QSH) effect. Unlike two dimensions, where a single Z2 topological invariant governs the effect, in three dimensions there are 4 invariants distinguishing 16 phases with two general classes: weak (WTI) and strong (STI) topological insulators. The WTI are like layered 2D QSH states, but are destroyed by disorder. The STI are robust and lead to novel "topological metal" surface states. We introduce a tight binding model which realizes the WTI and STI phases, and we discuss its relevance to real materials, including bismuth.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/84eb25f8bfe967a95646e6c9144613cd6299d5b4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Ashvin Vishwanath
2. J. Moore
3. D. Vanderbilt
4. M. Zahid Hasan
5. Hsin Lin
6. Arun Bansil
7. Masatoshi Sato
8. N. P. Armitage

In Materials Chemistry

1. Ashvin Vishwanath
2. M. Zahid Hasan
3. Hsin Lin
4. J. Moore
5. Arun Bansil
6. N. P. Armitage
7. D. Vanderbilt
8. E. Mele

Citations in the corpus

• Weyl and Dirac semimetals in three-dimensional solids (2017, background): “…prediction and discovery of topological insulators (TIs) in two and three dimensions (Bernevig et al., 2006; Chen et al., 2009; Fu and Kane, 2007; Fu et al., 2007; Haldane, 1988; Hsieh et al., 2008; Kane and Mele, 2005; Moore and Balents, 2007; Roy, 2009; Xia et al., 2009b; Zhang et al., 2009),…”
• Photonic topological insulators. (2012, background): “The recent discovery of two [ 1, 2] and three [ 3, 4, 5, 6, 7] dimensional topological insulators has stimulated interest in nontrivial topological phases.”
• A topological insulator surface under strong Coulomb, magnetic and disorder perturbations (2011, methodology): “[3, 22]), in which surface electronic states become spin-split by an energy proportional to their momentum ~k.”
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime (2010, background): “This regime occurs when EF lies in between the bulk valence band maximum (VBM) and the bulk conduction band minimum (CBM), and exactly at the surface Dirac point, which should in turn lie at a Kramers’ time-reversal invariant momentum [3, 4].”