Theorists discover new paradigm of topological band structures
In their recent work members of the group Neupert extend the paradigm of topological insulators to areas which were previously thought to contain only trivial insulators.
After the experimental discovery of topological insulators, the notion of what actually constitutes a topological band insulator has been refined in many ways. In their recent work, Aleksandra Nelson, Titus Neupert, Tomáš Bzdušek and Aris Alexandradinata extend the paradigm of topological insulators to areas which were previously thought to contain only trivial insulators.
An accepted way to distinguish trivial and topological insulators is to check whether their electron ground state could be decomposed into local orbitals. These could either be the atomic orbitals of the constituent elements, or their quantum-mechanical superpositions known as Wannier orbitals. If a given insulator has such an orbital representation, it was deemed trivial. In contrast, when such a description is not possible, the insulator is topological and typically exhibits metallic states on the boundary, despite being insulating in the bulk.
A recent theoretical work published in Physical Review Letters  now reveals that even the insulators that are decomposable to local orbitals are not all equally trivial. The authors reach this discovery by introducing a new family of insulators which admit such a decomposition but at the same time possess a quantized topological invariant. They call such insulators multicellular because each of their Wannier orbitals necessarily spreads over multiple unit cells.
For the studied family of topological insulators, the authors report that addition of a trivial band to either the valence or the conduction bands can trivialize the entire system. Such topological systems, here named delicate, extend the previously established notions of stable and fragile topological insulators.
Some systems, which were previously shown to host such phenomena as higher-order topology, axion magnetoelectrics and quantized surface magnetism, are to be considered multicellular and delicate according to the suggested classification. As a first step towards a concrete material realization, the authors discuss the crystalline symmetries compatible with the presented class of models, and suggest a first-principle-based, high-throughput strategy to search for delicate topological materials.
 A. Nelson, T. Neupert, T. Bzdušek, and A. Alexandradinata, Multicellularity of Delicate Topological Insulators, Phys. Rev. Lett. 126, 216404 (2021).
- Charge order and superconductivity in kagome materials
- Two videos about activities at our department
- RAI SuperQuark: Italian TV report on recent LHCb results
- Leading Xenon Researchers unite to build next-generation Dark Matter Detector
- New sputtering system with in situ Reflective High Energy Electron Diffraction
- Machine Learning kompakt
- GERDA Result: neutrinoless double beta decay
- High-quality hexagonal boron nitride from 2D distillation
- CMS Award for Cristina Botta
- Recent Results from LHCb Challenge Leading Theory in Physics
- ERC grant: TOPUP - Theory of Particle Collider Processes at Ultimate Precision
- Kenny Choo obtains SPS Thesis Award
- First discovery of a neutron star colliding with a black hole
- Making the invisible visible
- Theory meets Experiment: Ultimate precision for the Drell-Yan process
- Gravitational wave exhibit in focus Terra ETH
- In memoriam Roland Engfer, December 5, 1934 - October 18, 2021
- Two new Ambizione Fellows
- Re-Installation of the CMS Pixel Detector
- Exceptional Topological Insulators
- Florencia Canelli - new CMS Physics Coordinator
- New strain cell for neutron and x-ray scattering
- Fast spectroscopic mapping of two-dimensional quantum materials
- Gravitational-Wave Catalog
- Dectris Prize 2021 - Vera Hiu-Sze Wu
- Open Day 2021, November 26