Year-end Sale % OFF 
Abstract
The systematic diagnosis of band topology enabled by the method of "symmetry indicators" underlies the recent advances in the search for new materials realizing topological crystalline insulators. Such an efficient method has been missing for superconductors because the band structure in the superconducting phase is not usually available. In this work, we establish symmetry indicators for weak-coupling superconductors that detect nontrivial topology based on the representations of the metallic band structure in the normal phase, assuming a symmetry property of the gap function. We demonstrate the applications of our formulas using examples of tight-binding models and density-functional-theory band structures of realistic materials.
Highlights
In recent years, topological superconductors (SCs) have been actively investigated because Majorana fermions that emerge at vortex cores and on surfaces of topological SCs are promising building blocks of quantum computers [1,2,3]
On the other hand, the data required for computing symmetry indicators are the number of representationsBdG in the quasiparticle spectrum described by HkBdG combination of A
We extended the theory of symmetry indicators for weak-coupling SCs and derived several useful formulas in the search for new topological SCs
Summary
Topological superconductors (SCs) have been actively investigated because Majorana fermions that emerge at vortex cores and on surfaces of topological SCs are promising building blocks of quantum computers [1,2,3]. There have been fundamental advances in the method of symmetry indicators [20,21,22,23,24] and in a similar formalism [25,26], which provide an efficient way to diagnose the topology of band insulators and semimetals based on the representations of valence bands at high-symmetry momenta This scheme can be understood as a generalization of the Fu-Kane formula [27] that computes the Z2 indices in terms of inversion parities to arbitrary (magnetic) space groups [28,29,30] and a wider class of topologies, including higher order ones [31,32,33,34,35,36].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
