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Motivated by a growing interest in multi-orbital superconductors with spin-orbit interactions, we perform the group-theoretical classification of various unconventional superconductivity emerging in symmorphic $\rm O$, $\rm D_4$, and $\rm…

Superconductivity · Physics 2016-11-28 Takuya Nomoto , Kazumasa Hattori , Hiroaki Ikeda

Four types of atomic-scale multipoles, electric, magnetic, magnetic toroidal, and electric toroidal multipoles, give a complete set to describe arbitrary degrees of freedom for coupled charge, spin, and orbital of electrons. We here present…

Strongly Correlated Electrons · Physics 2018-10-24 Satoru Hayami , Megumi Yatsushiro , Yuki Yanagi , Hiroaki Kusunose

The nature of unconventional superconductivity is intimately linked to the microscopic nature of the pairing interactions. In this work, motivated by cubic heavy fermion compounds with embedded multipolar moments, we theoretically…

Superconductivity · Physics 2022-03-07 Adarsh S. Patri , Yong Baek Kim

Mutual interplay between the electronic degrees of freedom in solids, such as charge, spin, orbital, sublattice, and bond degrees of freedom, is a source of cross-correlated phenomena with unconventional electronic ordered states. Such…

Strongly Correlated Electrons · Physics 2021-08-18 Megumi Yatsushiro , Hiroaki Kusunose , Satoru Hayami

We present a general formalism of multipole descriptions under the space-time inversion group. We elucidate that two types of atomic toroidal multipoles, i.e., electric and magnetic, are fundamental pieces to express electronic order…

Strongly Correlated Electrons · Physics 2018-02-26 Satoru Hayami , Hiroaki Kusunose

We show the emergence of a new class of superconductivity in multiorbital systems, focusing on non-Kramers f$^2$ states. The Cooper pairs in this class of superconductivity mainly consist of local pairs with the same symmetry as the local…

Superconductivity · Physics 2017-10-25 Kazumasa Hattori , Takuya Nomoto , Takashi Hotta , Hiroaki Ikeda

The spin-orbital polarization of superconducting excitations in momentum space is shown to provide distinctive marks of unconventional pairing in the presence of inversion symmetry breaking.Taking the prototypical example of an electronic…

Superconductivity · Physics 2019-10-02 Yuri Fukaya , Shun Tamura , Keiji Yada , Yukio Tanaka , Paola Gentile , Mario Cuoco

The odd-parity spin-triplet Cooper pairing states show a six-fold degeneracy for a quasi-two-dimensional electron system. In this article we show how spin-orbit coupling can lift this degeneracy for Sr_2RuO_4 taking the band structure based…

Superconductivity · Physics 2009-10-31 Kwai-Kong Ng , Manfred Sigrist

A whole series of expressions for four species of multipoles (electric, magnetic, magnetic toroidal, and electric toroidal) is provided as a complete basis set to describe arbitrary single-centered spinful electron systems. A compact…

Strongly Correlated Electrons · Physics 2020-09-17 Hiroaki Kusunose , Rikuto Oiwa , Satoru Hayami

It is shown that unconventional nature of superconducting state of PrOs_4Sb_12, a Pr-based heavy electron compound with the filled-Skutterudite structure, can be explained in a unified way by taking into account the structure of the…

Superconductivity · Physics 2009-11-10 K. Miyake , H. Kohno , H. Harima

Pair spin-orbit interaction can emerge in strongly-interacting systems characterized by a large spin-orbit coupling. Here we study the role of this interaction in stabilizing ordered and unconventional superconducting phases. We find that,…

Superconductivity · Physics 2025-07-30 Feng Liu , Alessandro Principi

The superconducting state formed due to direct intra-orbital pairing in tetragonal multi-band superconductor Sr$_2$RuO$_4$ has different properties than the state formed due to intra-band pairing. In particular, the theory operating with…

Superconductivity · Physics 2016-11-26 V. P. Mineev

We uncover a new superconducting state with partial spin polarization induced by a magnetic field. This state, which we call "magnonic superconductor", lacks a conventional pairing order parameter, but is characterized instead by a…

Superconductivity · Physics 2025-01-07 Khachatur G. Nazaryan , Liang Fu

A theoretical overview of the classes of superconductors encompassing (a) high-Tc cuprate, (b) iron-based and (c) aromatic superconductors is given. Emphasis is put on the multiband natures of all the three classes, where the differences in…

Superconductivity · Physics 2012-02-13 Hideo Aoki

The unconventional superconductivity in Sr$_2$RuO$_4$ continues to defy a unified interpretation. In this paper, we focus on some novel aspects of its superconducting pairing by exploiting the orbital degree of freedom in this material. The…

Superconductivity · Physics 2019-10-17 Wen Huang , Yi Zhou , Hong Yao

A general phenomenological theory is presented for the phase behavior of ferromagnetic superconductors with spin-triplet electron Cooper pairing. The theory describes in details the temperature-pressure phase diagrams of real inter-metallic…

Superconductivity · Physics 2012-07-10 Dimo I. Uzunov

The interplay between magnetism and superconductivity is one of the central topics of condensed matter physics, which has recently been put into new light by the discovery of altermagnets. Here, we study this interplay from a fundamental…

Superconductivity · Physics 2025-07-16 Kirill Parshukov , Andreas P. Schnyder

An unconventional superconductor is distinguished with two types of gap functions: unitary and non-unitary. This core subject has been concentrated on purely spin-triplet or singlet-triplet mixed superconductors. However, the generalization…

Superconductivity · Physics 2023-03-29 Meng Zeng , Dong-Hui Xu , Zi-Ming Wang , Lun-Hui Hu

In this short article, we overview a concept of electronic toroidal multipoles, and their ordering with associated physical properties in non-magnetic and magnetic materials. The toroidal multipoles are introduced as microscopic electronic…

Materials Science · Physics 2024-09-12 Hiroaki Kusunose , Satoru Hayami

We present a thorough symmetry-based classification of superconducting order parameters that is independent of their microscopic origins. Our approach involves classifying pairing states through the pairwise permutation of spatial,…

Superconductivity · Physics 2025-07-15 Alexander V. Balatsky , Saikat Banerjee
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