Topology of Superconductors

This book develops a symmetry-based approach to superconductors, which enables us to efficiently diagnose topological and nodal superconductivity. Superconductivity has fascinated physicists since its first discovery. In particular, unconventional superconductivity, which arises from unusual attractive interactions between electrons, has been intensively studied for the last few decades. More recently, it turns out that topological nature of superconductivity is closely related to how electrons pair up. After reviewing the basic concepts of the symmetry-based analysis of band topology, the first part of this book discusses a generalization of symmetry-based indicatorsan efficient way to diagnose topological insulating phases without full information on wave functionsto superconducting phases. The second part of this book develops a novel scheme to extensively classify superconducting nodesgeometry of gapless regions in the Bogoliubov quasiparticle spectrumbased on band topology.Finally, combining these two parts, this book proposes a systematic scheme to predict topological and nodal properties of the superconducting phase by considering various possible pairing symmetries.

Nominated as an outstanding Ph.D. thesis by The University of Tokyo Explores a unified framework to understand topology of superconductors Provides an application of the framework to realistic materials

Autorentext

Seishiro Ono's research interests lie in quantum condensed matter physics. He has been fascinated by the diversity of this field, and I am eager to understand the various phenomena from a unified point of view. He is currently investigating a unified understanding of superconductivity based on symmetry and topology.

Inhalt

Introduction.- Review of Symmetry and Representations in Band Theory.- Review of Symmetry and Representations in Band Theory.- Classifications of Superconducting Nodes.- High-throughput Investigation.