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Published in:
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2021 | OriginalPaper | Chapter

1. Introduction

Author : Dr. Shuntaro Sumita

Published in: Modern Classification Theory of Superconducting Gap Nodes

Publisher: Springer Singapore

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Abstract

In this chapter, we review the conventional classification theory of superconducting order parameter. Although the method is convenient and has been used in many researches of unconventional superconductivity, it may fail to predict actual gap structures in superconductors with multi-degrees of freedom. In the review, the inadequacies of the conventional method are explicitly pointed out. Furthermore, we introduce some recent progressive studies elucidating unconventional superconducting gap structures beyond the method.

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next chapter Method
Footnotes
1
Since the spatial inversion \(\mathcal {I} \in P\) is not an element of SU(2), we define \(D_{(1 / 2)}(\mathcal {I})\) as the identity matrix \(\sigma _0\).
 
2
The indices \(l = 0, 1, 2, \dotsc \) and \(S = 0, 1\) are relative angular momentum and total spin angular momentum, respectively.
 
3
The notation \(g = \{p_g | \varvec{t}_g\}\) is a conventional Seitz space group symbol with a point-group operation \(p_g\) and a translation \(\varvec{t}_g\).
 
4
Note that \(c_{m \sigma }^\dagger (k_z)\) in Eq. (1.11) is defined by the sublattice-dependent Fourier transformation, while the sublattice-independent one is used in Appendix of Chap. 4.
 
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Metadata
Title
Introduction
Author
Dr. Shuntaro Sumita
Copyright Year
2021
Publisher
Springer Singapore
Book
Modern Classification Theory of Superconducting Gap Nodes

Print ISBN: 978-981-334-263-7

Electronic ISBN: 978-981-334-264-4

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-981-33-4264-4_1

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