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The formation of electron pairs is a prerequisite of superconductivity. The fermionic nature of electrons yields four classes of superconducting correlations with definite symmetry in spin, space and time. Here, we suggest double quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Björn Sothmann , Stephan Weiss , Michele Governale , Jürgen König

Pairing symmetry is important to indentify the pairing mechanism. The analysis becomes particularly timely and important for the newly discovered iron-based multi-orbital superconductors. From group theory point of view we classified all…

Superconductivity · Physics 2009-11-13 Yuan Wan , Qiang-Hua Wang

Recent studies of unconventional superconductivity have focused on charge or spin fluctuation, instead of electron-phonon coupling, as an origin of attractive interaction between electrons. On the other hand, a multipole order, which…

Superconductivity · Physics 2020-08-13 Shuntaro Sumita , Youichi Yanase

In this work we study interacting electrons on square lattice in the presence of strong Rashba spin-orbit interaction. The spin-orbit term forces the time-reversal electron states to be paired in even Cooper channels. For concreteness, we…

Strongly Correlated Electrons · Physics 2019-03-27 Rasoul Ghadimi , Mehdi Kargarian , S. Akbar Jafari

Multipole degrees of freedom describe the mutual interplay among the charge, spin, and orbital degrees of freedom in electrons, which provides a microscopic understanding of unconventional electronic orderings and their associated physical…

Strongly Correlated Electrons · Physics 2025-06-13 Ryota Yambe , Satoru Hayami

We study the spin-orbit coupling in spin-triplet Cooper pairs and clarify multiple superconducting (SC) phases in Sr$_2$RuO$_4$. Based on the analysis of the three-orbital Hubbard model with atomic LS coupling, we show some selection rules…

Superconductivity · Physics 2015-06-22 Youichi Yanase , Shuhei Takamatsu , Masafumi Udagawa

The multipole moment is an established concept of electrons in solids. Entanglement of spin, orbital, and sublattice degrees of freedom is described by the multipole moment, and spontaneous multipole order is a ubiquitous phenomenon in…

Materials Science · Physics 2018-12-20 Hikaru Watanabe , Youichi Yanase

The possible superconducting states of strontium ruthenate (Sr$_2$RuO$_4$) are organized into irreducible representations of the point group $D_{4h}$, with a special emphasis on nodes occurring within the superconducting gap. Our analysis…

Superconductivity · Physics 2019-12-25 S. -O. Kaba , D. Sénéchal

We study a possible superconductivity in quasiperiodic systems, by portraying the issue within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical mean-field theory to the model consisting of 4181 sites, we…

Superconductivity · Physics 2017-01-25 Shiro Sakai , Nayuta Takemori , Akihisa Koga , Ryotaro Arita

The interplay of Anderson localization and electron-electron interactions is known to lead to enhancement of superconductivity due to multifractality of electron wave functions. We develop the theory of multifractally-enhanced…

Superconductivity · Physics 2022-11-23 E. S. Andriyakhina , I. S. Burmistrov

We study the superconducting state of multi-orbital spin-orbit coupled systems in the presence of an orbitally driven inversion asymmetry assuming that the inter-orbital attraction is the dominant pairing channel. Although the inversion…

Superconductivity · Physics 2018-06-06 Yuri Fukaya , Shun Tamura , Keiji Yada , Yukio Tanaka , Paola Gentile , Mario Cuoco

Spin-orbit coupling is a single-particle phenomenon known to generate topological order, and electron-electron interactions cause ordered many-body phases to exist. The rich interplay of these two mechanisms is present in a broad range of…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Weizhe Edward Liu , Stefano Chesi , David Webb , U. Zuelicke , R. Winkler , Robert Joynt , Dimitrie Culcer

We propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

Electron pairing at low temperatures leads to superconductivity. A fundamental question is whether more complex states - characterized by order in four-electron composite objects, termed electron quadrupling or composite order - can exist…

Superconductivity · Physics 2026-02-23 Albert Samoilenka , Egor Babaev

Relativistic correction to the Coulomb interaction is considered for strongly correlated electron orbitals. The atomic representation of the Coulomb-Breit interaction and its physical origin are clarified, to generalize a concept of the…

Strongly Correlated Electrons · Physics 2023-11-10 Shintaro Hoshino

Altermagnets are a newly identified class of magnets with nodal spin-split band structures, providing a fertile platform for studying unconventional superconductivity and intertwined orders. Here we investigate multicomponent…

Superconductivity · Physics 2026-03-06 Xuan Zou , Rafael M. Fernandes , Eduardo Fradkin

Multipolar order in bulk crystalline solids is characterized by multipole densities -- denoted as polarizations in this work -- that cannot be cleanly defined using the concepts of classical electromagnetism. Here we use group theory to…

Materials Science · Physics 2023-04-06 R. Winkler , U. Zülicke

Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity in the multiband extension of the Hatsugai-Kohmoto model, an exactly solvable model of correlated electrons with…

Superconductivity · Physics 2026-05-14 Nico Hahn , R. Matthias Geilhufe

The orbital-selective Mott phase (OSMP) of multiorbital Hubbard models has been extensively analyzed before using static and dynamical mean-field approximations. In parallel, the properties of Block states (antiferromagnetically coupled…

Strongly Correlated Electrons · Physics 2014-12-09 Julian Rincon , Adriana Moreo , Gonzalo Alvarez , Elbio Dagotto

Motivated by the strong-correlation phenomenology observed near the superconducting phase in twisted bilayer WSe$_2$, we study multi-orbital $t$-$J$ models that are derived from different parameter regimes. The models contain effective…

Superconductivity · Physics 2025-07-29 Chenyuan Li , Fang Xie , Jennifer Cano , Qimiao Si