Modern classification theory of superconducting gap nodes /

Modern classification theory of superconducting gap nodes /

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Bibliographic Details
Author / Creator:Sumita, Shuntaro.
Imprint:Singapore : Springer, 2021.
Description:1 online resource (118 p.).
Language:English
Series:Springer Theses
Springer theses.
Subject:
Superconductors.
Superconductors.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12609529
Hidden Bibliographic Details
ISBN:9789813342644
9813342641
9813342633
9789813342637
Digital file characteristics:text file PDF
Notes:"Doctoral Thesis accepted by Kyoto University, Kyoto, Japan."
Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed February 15, 2021).
Summary:This book puts forward a modern classification theory for superconducting gap nodes, whose structures can be observed by experiments and are essential for understanding unconventional superconductivity. In the first part of the book, the classification method, based on group theory and K theory, is introduced in a step-by-step, pedagogical way. In turn, the latter part presents comprehensive classification tables, which include various nontrivial gap (node) structures, which are not predicted by the Sigrist-Ueda method, but are by the new method. The results obtained here show that crystal symmetry and/or angular momentum impose critical constraints on the superconducting gap structures. Lastly, the book lists a range of candidate superconductors for the nontrivial gap nodes. The classification methods and tables presented here offer an essential basis for further investigations into unconventional superconductivity. They indicate that previous experimental studies should be reinterpreted, while future experiments should reflect the new excitation spectrum.
Other form:Print version: Sumita, Shuntaro Modern Classification Theory of Superconducting Gap Nodes Singapore : Springer Singapore Pte. Limited,c2021 9789813342637
Standard no.:10.1007/978-981-33-4264-4
Table of Contents:
  • Intro
  • Supervisor's Foreword
  • Parts of this thesis have been published in the following journal articles:
  • Acknowledgements
  • Contents
  • Acronyms
  • 1 Introduction
  • 1.1 Overview of the Sigrist-Ueda Classification Method
  • 1.1.1 Classification Scheme
  • 1.1.2 Inadequacies of the Sigrist-Ueda Method
  • 1.2 Recent Progress in Superconductors with Multi-degrees of Freedom
  • 1.2.1 Nonsymmorphic Multi-sublattice Superconductors
  • 1.2.2 Multi-orbital Superconductors
  • 1.3 Organization of This Thesis
  • References
  • 2 Method
  • 2.1 Preparation
  • 2.2 Group-Theoretical Classification of Superconducting Gap
  • 2.3 Topological Classification of Superconducting Gap
  • 2.4 Example: Space Group P21/m
  • 2.4.1 Preparation
  • 2.4.2 Group-Theoretical Gap Classification
  • 2.4.3 Topological Gap Classification
  • References
  • 3 Superconducting Gap Classification on High-Symmetry Planes
  • 3.1 Group-Theoretical Classification of Symmetry-Protected Line Nodes
  • 3.1.1 Setup
  • 3.1.2 Gap Classification
  • 3.1.3 Application to 59 Space Groups
  • 3.2 Topological Classification of Symmetry-Protected ...
  • 3.2.1 Line Node at a General Position
  • 3.2.2 Line Node on a High-Symmetry Plane
  • 3.2.3 Possible Majorana Flat Bands
  • 3.3 Example: Sr2IrO4 in -++- State
  • 3.3.1 Background
  • 3.3.2 Classification of -++- and -+-+ Orders Based on Magnetic Multipole
  • 3.3.3 Superconducting Gap Classification
  • 3.3.4 Numerical Calculation
  • References
  • 4 Superconducting Gap Classification on High-Symmetry Lines
  • 4.1 Group-Theoretical Classification
  • 4.2 Topological Classification
  • 4.3 UPt3 (Space Group: P63/mmc)
  • 4.3.1 Background
  • 4.3.2 Gap Classification on K-H Line
  • 4.3.3 Model and Normal Bloch State

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