scholarly journals Author Correction: Topological quantum chemistry

Nature ◽  
2020 ◽  
Vol 582 (7812) ◽  
pp. E14-E14
Author(s):  
Barry Bradlyn ◽  
L. Elcoro ◽  
Jennifer Cano ◽  
M. G. Vergniory ◽  
Zhijun Wang ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Topological quantum chemistry

Nature ◽  
2017 ◽  
Vol 547 (7663) ◽  
pp. 298-305 ◽  
Author(s):  
Barry Bradlyn ◽  
L. Elcoro ◽  
Jennifer Cano ◽  
M. G. Vergniory ◽  
Zhijun Wang ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Graph theory data for topological quantum chemistry

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
M. G. Vergniory ◽  
L. Elcoro ◽  
Zhijun Wang ◽  
Jennifer Cano ◽  
C. Felser ◽  
...  
Keyword(s):  
Graph Theory ◽  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Towards a topological quantum chemistry description of correlated systems: The case of the Hubbard diamond chain

2021 ◽  
Vol 104 (19) ◽  
Author(s):  
Mikel Iraola ◽  
Niclas Heinsdorf ◽  
Apoorv Tiwari ◽  
Dominik Lessnich ◽  
Thomas Mertz ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Correlated Systems ◽  
Topological Quantum

scholarly journals Band connectivity for topological quantum chemistry: Band structures as a graph theory problem

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Barry Bradlyn ◽  
L. Elcoro ◽  
M. G. Vergniory ◽  
Jennifer Cano ◽  
Zhijun Wang ◽  
...  
Keyword(s):  
Graph Theory ◽  
Quantum Chemistry ◽  
Theory Problem ◽  
Band Structures ◽  
Topological Quantum

scholarly journals Band Representations and Topological Quantum Chemistry

2020 ◽  
Vol 12 (1) ◽  
Author(s):  
Jennifer Cano ◽  
Barry Bradlyn
Keyword(s):  
Quantum Chemistry ◽  
Momentum Space ◽  
Condensed Matter ◽  
Annual Review ◽  
Publication Date ◽  
Symmetry Groups ◽  
Future Developments ◽  
Topological Quantum ◽  
Symmetry Constraints ◽  
Topological Crystalline Insulators

In this article, we provide a pedagogical review of the theory of topological quantum chemistry and topological crystalline insulators. We begin with an overview of the properties of crystal symmetry groups in position and momentum space. Next, we introduce the concept of a band representation, which quantifies the symmetry of topologically trivial band structures. By combining band representations with symmetry constraints on the connectivity of bands in momentum space, we show how topologically nontrivial bands can be cataloged and classified. We present several examples of new topological phases discovered using this paradigm and conclude with an outlook toward future developments. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 12 is March 10, 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

scholarly journals Engineering fragile topology in photonic crystals: Topological quantum chemistry of light

2019 ◽  
Vol 1 (3) ◽  
Author(s):  
María Blanco de Paz ◽  
Maia G. Vergniory ◽  
Dario Bercioux ◽  
Aitzol García-Etxarri ◽  
Barry Bradlyn
Keyword(s):  
Photonic Crystals ◽  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Publisher's Note: Graph theory data for topological quantum chemistry [Phys. Rev. E 96 , 023310 (2017)]

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
M. G. Vergniory ◽  
L. Elcoro ◽  
Zhijun Wang ◽  
Jennifer Cano ◽  
C. Felser ◽  
...  
Keyword(s):  
Graph Theory ◽  
Quantum Chemistry ◽  
Topological Quantum

scholarly journals Building blocks of topological quantum chemistry: Elementary band representations

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Jennifer Cano ◽  
Barry Bradlyn ◽  
Zhijun Wang ◽  
L. Elcoro ◽  
M. G. Vergniory ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Building Blocks ◽  
Topological Quantum ◽  
Elementary Band

scholarly journals Magnetic topological quantum chemistry

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Luis Elcoro ◽  
Benjamin J. Wieder ◽  
Zhida Song ◽  
Yuanfeng Xu ◽  
Barry Bradlyn ◽  
...  
Keyword(s):  
Group Theory ◽  
Quantum Chemistry ◽  
Real Space ◽  
Crystalline Solids ◽  
Electronic Band ◽  
Space Groups ◽  
Topological Quantum ◽  
Anomalous Surface ◽  
Theoretic Characterization ◽  
Group Theoretic Characterization

AbstractFor over 100 years, the group-theoretic characterization of crystalline solids has provided the foundational language for diverse problems in physics and chemistry. However, the group theory of crystals with commensurate magnetic order has remained incomplete for the past 70 years, due to the complicated symmetries of magnetic crystals. In this work, we complete the 100-year-old problem of crystalline group theory by deriving the small corepresentations, momentum stars, compatibility relations, and magnetic elementary band corepresentations of the 1,421 magnetic space groups (MSGs), which we have made freely accessible through tools on the Bilbao Crystallographic Server. We extend Topological Quantum Chemistry to the MSGs to form a complete, real-space theory of band topology in magnetic and nonmagnetic crystalline solids – Magnetic Topological Quantum Chemistry (MTQC). Using MTQC, we derive the complete set of symmetry-based indicators of electronic band topology, for which we identify symmetry-respecting bulk and anomalous surface and hinge states.

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