Topological Insulators

By P. Kotetes. Electromagnetic Anisotropy and Bianisotropy, 2019

1,781 citations recorded by the source corpus.

In recent years, the notion of “Quantum Materials” has emerged as a powerful unifying concept across diverse fields of science and engineering, from condensed-matter and coldatom physics to materials science and quantum computing. Beyond traditional quantum materials such as unconventional superconductors, heavy fermions, and multiferroics, the field has significantly expanded to encompass topological quantum matter, two-dimensional materials and their van der Waals heterostructures, Moiré materials, Floquet time crystals, as well as materials and devices for quantum computation with Majorana fermions. In this Roadmap collection we aim to capture a snapshot of the most recent developments in the field, and to identify outstanding challenges and emerging opportunities. The format of the Roadmap, whereby experts in each discipline share their viewpoint and articulate their vision for quantum materials, reflects the dynamic and multifaceted nature of this research area, and is meant to encourage exchanges and discussions across traditional disciplinary boundaries. It is our hope that this collective vision will contribute to sparking new fascinating questions and activities at the intersection of materials science, condensed matter physics, device engineering, and quantum information, and to shaping a clearer landscape of quantum materials science as a new frontier of interdisciplinary scientific inquiry. The 2020 Quantum Materials Roadmap – Table of

Subfields: Computational Theory and Mathematics, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/3c30ead3cd92bdec574d2f545375e9cea6abfacb

How researchers see this paper

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

In Computational Theory and Mathematics

1. Kunkun Wang
2. Alexander Cerjan
3. Tian-Shu Deng
4. Entong Zhao
5. Peng Xue
6. W. Yi
7. K. Pak
8. Ashvin Vishwanath

In Computer Vision and Pattern Recognition

1. Kunkun Wang
2. Alexander Cerjan
3. Tian-Shu Deng
4. Entong Zhao
5. Peng Xue
6. W. Yi
7. K. Pak
8. Ashvin Vishwanath

Citations in the corpus

• Advances in thermoelectric materials research: Looking back and moving forward (2017, neutral): “In particular, TIs are thematerials with a bulk band gap and topologically protected conducting edge (surface) states (78).”
• Topological insulator laser: Experiments (2018, neutral): “Notably, the transport of edge states in topological insulators is granted topological protection, a property stemming from the underlying topological invariants (2).”
• Efficient topological materials discovery using symmetry indicators (2018, background): “For semimetals with robust band crossings, however, the associated vector n in equation (1) is not a BS, although one could still perform the expansion in equation (3).”
• Intrinsic magnetic topological insulators in van der Waals layered MnBi2Te4-family materials (2018, background): “INTRODUCTION The correlation between topology and symmetry as a central fundamental problem of modern physics has attracted intensive research interests in condensed matter physics and materials science since the discovery of topological insulators (TIs) (1, 2).”
• Colloquium: Nonthermal pathways to ultrafast control in quantum materials (2021, background): “…to create and control their macroscopic properties continues to improve our fundamental understanding of the interactions between the underlying degrees of freedom, which in turn may lead to new functionalities (Basov, Averitt, and Hsieh, 2017; Alexandradinata et al., 2020; Giustino et al., 2021).”
• Symmetry-based indicators of band topology in the 230 space groups (2017, neutral): “While we have chosen HΔ to conserve the total spin L + S for convenience, such conservation is not required by the local symmetry, which is described by the point group T < SO(3).”
• Corner states of light in photonic waveguides (2018, background): “At wavelengths away from this window the effective tight-binding model is no longer accurately described by equation (1), so there is no reason to expect localized corner states and we consequently expect to observe an essentially random light pattern.”