Topological insulators on the Lieb and perovskite lattices

By C. Weeks, M. Franz. 2010

206 citations recorded by the source corpus.

Electrons hopping on the sites of a two-dimensional Lieb lattice and three-dimensional edge-centered cubic (perovskite) lattice are shown to form topologically nontrivial insulating phases when spin-orbit coupling is introduced. These simple models on lattices with cubic symmetry show a Dirac-type structure in the excitation spectrum but with the unusual feature that there is a dispersionless band through the center of the spectrum and only a single Dirac cone per Brillouin zone.

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

View Paper: https://www.semanticscholar.org/paper/440032d064b6e21634b11277555a51b365272f0a

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. Sergej Flach
2. Ari Harju
3. D. Leykam
4. Alexei Andreanov

In Condensed Matter Physics

1. Sergej Flach
2. D. Leykam
3. Alexei Andreanov

Citations in the corpus

• Topological states in engineered atomic lattices (2016, background): “Depending on the nature of the interaction in the lattice, topological states may also emerge [26, 27].”
• Artificial flat band systems: from lattice models to experiments (2018, result): “The resulting spin-orbit coupling is predicted to gap the flat band while preserving its flatness, inducing a topological insulating phase with helical edge states similar to that studied by Weeks and Franz [126].”