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Superconductivity in materials without spatial inversion symmetry is studied. We show that in contrast to common believe, spin-triplet pairing is not entirely excluded in such systems. Moreover, paramagnetic limiting is analyzed for both…

Strongly Correlated Electrons · Physics 2009-11-10 P. Frigeri , D. F. Agterberg , A. Koga , M. Sigrist

Superconducting spintronics has emerged in the last decade as a promising new field that seeks to open a new dimension for nanoelectronics by utilizing the internal spin structure of the superconducting Cooper pair as a new degree of…

Altermagnets recently came into the spotlight as a new class of magnetic materials, arising as a consequence of specific crystal symmetries. They are characterized by a spin-polarized electronic band structure similar to ferromagnets, but…

In several members of the pnictide materials, spin density wave order coexists with superconductivity over a range of dopings and temperature. In this paper we show that odd-frequency superconductivity emerges on the edges of pnictides in…

Superconductivity · Physics 2018-11-12 Cody Youmans , Areg Ghazaryan , Mehdi Kargarian , Pouyan Ghaemi

We report the study of spontaneous magnetization (i.e., spin-polarization) for time-reversal symmetry (TRS)-breaking superconductors with unitary pairing potentials, in the absence of external magnetic fields or Zeeman fields. Spin-singlet…

Superconductivity · Physics 2021-09-01 Lun-Hui Hu , Xuepeng Wang , T. Shang

Compensated magnetic orders that can split the spin-degeneracy of electronic bands have become a very active field of research. As opposed to spin-orbit coupling, the splitting resulting from these "altermagnets" is not a small relativistic…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Saurav Sachin , Mathias S. Scheurer , Constantin Schrade , Sujit Manna

In most naturally occurring superconductors, electrons with opposite spins are paired up to form Cooper pairs. This includes both conventional $s$-wave superconductors such as aluminum as well as high-$T_\text{c}$, $d$-wave superconductors.…

The advent of altermagnetism, a new phase of magnetism, has garnered significant interest due to its extraordinary spin-polarized electronic bands despite zero net magnetization. Such spin-symmetry-guided robust non-relativistic alternating…

Materials Science · Physics 2025-04-15 Anil Kumar Singh , Pritam Deb

This article is dedicated to the 60-th anniversary of the Landau Institute for Theoretical Physics and presents a review of normal and superconducting properties of toroidal, altermagnetic, and noncentrosymmetric metals. Metals with…

Strongly Correlated Electrons · Physics 2026-02-05 V. P. Mineev

Altermagnets are an emergent class of materials combining features of ferro- and antiferro-magnetic materials. They have spin-separated bands normally associated with ferromagnets, but a vanishing net magnetization. Moreover the symmetries…

We consider the possibility of phonon-mediated unconventional superconductivity in a recently discovered new class of antiferromagnets, dubbed altermagnets. Within a weak-coupling approach, and using a minimal Lieb lattice model for…

Superconductivity · Physics 2025-09-24 Kristoffer Leraand , Kristian Mæland , Asle Sudbø

We propose a minimal toy model for a two-dimensional altermagnet. The model unravels altermagnetic properties at a microscopic level. We find spin-split electron- and non-degenerate magnon bands with a $d$-wave symmetry. We use the model to…

Superconductivity · Physics 2023-12-22 Bjørnulf Brekke , Arne Brataas , Asle Sudbø

We study the surface density of states in $p$-wave unconventional magnet-spin-singlet $s$-wave superconductor hybrid systems ($p$-wave unconventional magnetic superconductors). Owing to the noncollinear spin structure in $p$-wave…

Superconductivity · Physics 2026-03-27 Yuri Fukaya , Keiji Yada , Yukio Tanaka

Altermagnets are a novel class of fully spin-compensated magnetic materials that nevertheless have spin-split electronic bands, offering novel perspectives for spintronics applications. Based on a rigorous analysis of altermagnetic…

We investigate self-consistent unconventional superconductivity in a two-dimensional $d$-wave altermagnetic metal. We find that momentum-dependent altermagnetic spin splitting suppresses opposite-spin singlet pairing and stabilizes highly…

Superconductivity · Physics 2026-05-19 Lie Yuan , Junkang Huang , Yu-Xuan Li , Tao Zhou

$P$-, $f$-, or $h$-wave antialtermagnets yield large non-relativistic spin splitting with out-of-plane spin polarization in momentum space perpendicular to the coplanar non-collinear local magnetic moments. We provide a microscopic…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Johannes Mitscherling , Jan Priessnitz , Clara K. Geschner , Libor Šmejkal

Ising superconductivity allows in-plane upper critical magnetic fields to vastly surpass Pauli limit by locking the antiparallel electron spins of Cooper pairs in the out-of-plane direction. It was first explicitly demonstrated in fully…

Owing to their relevance for spintronics, electronic band splitting and spin-polarization textures in magnets are active areas of research. In non-collinear magnets, alternating spin textures can arise both for isolated bands and for…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 Moritz M. Hirschmann , Akira Furusaki , Max Hirschberger

Non-relativistic momentum-dependent spin splitting, as observed in collinear altermagnets and non-collinear $p$-wave magnets, provides exciting avenues for controlling spin dynamics. Here, we reveal a distinct form of non-relativistic…

Superconductivity · Physics 2026-05-18 Ping Li , G. A. Bobkov , I. V. Bobkova , Tao Yu

When the impurity mean free path is short, only spin-polarized Cooper pairs which are non-locally and antisymmetrically correlated in time may exist in a half-metallic ferromagnet. As a consequence, the half-metal acts as an odd-frequency…

Superconductivity · Physics 2020-10-30 Eirik Holm Fyhn , Jacob Linder