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We investigate some possible symmetries of the superconducting state that emerges in three-dimensional altermagnets in the presence of spin-orbit coupling. We demonstrate within a weak-coupling approach that these altermagnets, which…

Superconductivity · Physics 2024-12-24 Vanuildo S. de Carvalho , Hermann Freire

We study thermal transport in a two-dimensional system with coexisting $s$- or $d$-wave Superconducting (SC) and Spin Density Wave (SDW) orders. We analyse the nature of coexistence phase in a tight-binding square lattice with…

Superconductivity · Physics 2021-03-10 Sourav Sen Choudhury , Anton B. Vorontsov

We investigate intrinsic superconducting diode effect in the unconventional superconducting state of $d$-wave altermagnets. We find large diode efficiencies in the wide-reaching finite-momentum pairing regimes of the phase diagram.…

Superconductivity · Physics 2024-08-16 Debmalya Chakraborty , Annica M. Black-Schaffer

Finite-momentum Cooper pairing is an unconventional form of superconductivity that is widely believed to require finite magnetization. Altermagnetism is an emerging magnetic phase with highly anisotropic spin-splitting of specific…

Superconductivity · Physics 2024-03-01 Song-Bo Zhang , Lun-Hui Hu , Titus Neupert

The discovery of altermagnetism offers new opportunities for exploring novel quantum states and developing spintronic devices for enabling momentum dependent spin splitting in compensated systems, while zero net magnetization limit its…

Materials Science · Physics 2026-05-22 W. Z. Zhuo , Z. H. Guan , Z. L. Peng , Y. N. Pan , J. Chen , Y. Yang , M. H. Qin

Metallic altermagnets are unusual collinear magnets that feature zero net magnetization with momentum-dependent spin splitting. Here, we show that this spin splitting can induce pair density wave states even in the absence of external…

Superconductivity · Physics 2025-07-15 GiBaik Sim , Johannes Knolle

With the ground breaking work of the Fulde, Ferell, Larkin, and Ovchinnikov (FFLO), it was realized that superconducting order can also break translational invariance; leading to a phase in which the Cooper pairs develop a coherent periodic…

Strongly Correlated Electrons · Physics 2009-02-06 D. F. Agterberg , H. Tsunetsugu

The recent discovery of altermagnets, which exhibit spin splitting without net magnetization, opens new directions for spintronics beyond the limits of ferromagnets, antiferromagnets, and spin orbit coupled systems. We investigate spin…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Pei-Hao Fu , Qianqian Lv , Yong Xu , Jorge Cayao , Jun-Feng Liu , Xiang-Long Yu

Pair density wave (PDW) is a distinct superconducting state characterized by a periodic modulation of its order parameter in real space. Its intricate interplay with the charge density wave (CDW) state is a continuing topic of interest in…

Superconductivity · Physics 2024-09-04 Lu Cao , Yucheng Xue , Yingbo Wang , Fu-Chun Zhang , Jian Kang , Hong-Jun Gao , Jinhai Mao , Yuhang Jiang

The possibility of realizing pair density wave (PDW) phases, in which Cooper pairs have a finite momentum, presents an interesting challenge that has been studied in a wide variety of systems. In conventional superconductors, this is only…

Superconductivity · Physics 2023-06-30 Daniel Shaffer , F. J. Burnell , Rafael M. Fernandes

Altermagnets hold great potential for spintronic applications, yet their intrinsic spin dynamics and associated transport properties remain largely unexplored. Here, we investigate spin-resolved quantum transport in a multi-terminal setup…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Li-Shuo Liu , Kai Shao , Hai-Dong Li , Xiangang Wan , Wei Chen , D. Y. Xing

A recent discovery of the pair density wave (PDW) order creates a stir in understanding an underlying physics in the pseudogap states of the cuprate high temperature superconductors. We have performed a Spectroscopic Imaging Scanning…

Superconductivity · Physics 2021-10-02 Zengyi Du , Hui Li , Kazuhiro Fujita

In conventional superconductors the Cooper pairs have a zero center of mass momentum. In this paper we present a theory of superconducting states where the Cooper pairs have a nonzero center of mass momentum, inhomogeneous superconducting…

Superconductivity · Physics 2014-04-22 Rodrigo Soto-Garrido , Eduardo Fradkin

A novel class of antiferromagnets, dubbed altermagnets, exhibit a non-relativistically spin-split band structure reminiscent of $d$-wave superconductors, despite the absence of net magnetization. This unique characteristic enables…

Superconductivity · Physics 2024-05-15 Hans Gløckner Giil , Jacob Linder

The recent discovery of altermagnets has opened new perspectives in the field of ordered phases in condensed matter. In strongly-correlated superfluids, the nodal p-wave and d-wave ordered phases of $^{3}$He and cuprates play a prominent…

Materials Science · Physics 2024-09-17 Tomas Jungwirth , Rafael M. Fernandes , Jairo Sinova , Libor Smejkal

An indispensable ingredient for pair density wave (PDW) superconductivity is the presence of an attractive pairing interaction at finite momentum. Here, we show how this condition can be met with straightforward electron-density…

Superconductivity · Physics 2024-10-16 Nicole Sabina Ticea , Srinivas Raghu , Yi-Ming Wu

Altermagnetism is a collinear compensated magnetically-ordered phase with a d, g or i-wave anisotropy and alternating spin polarization of the electronic structure in the position and momentum space. Its recent discovery was in part…

Altermagnets constitute a class of collinear compensated N\'eel ordered magnets that break time-reversal symmetry and feature spin-split band structures. Based on versatile microscopic models able to capture the altermagnetic sublattice…

Strongly Correlated Electrons · Physics 2025-07-08 Jannik Gondolf , Andreas Kreisel , Mercè Roig , Yue Yu , Daniel F. Agterberg , Brian M. Andersen

Conventional magnetic domain walls are characterized by reorientation of local spins. However, what occurs at the boundary of itinerant magnets is largely unknown. Here using spin-sensitive scanning tunneling microscopy, we investigated the…

Strongly Correlated Electrons · Physics 2025-08-05 Yining Hu , Xu Wang , Chen Chen , Qingle Zhang , Dongming Zhao , Tianzhen Zhang , Chenxi Wang , Qiang-Hua Wang , Donglai Feng , Tong Zhang

We investigate the macroscopic effects of charge density waves (CDW) and superconductivity in layered superconducting systems with broken lattice inversion symmetry (allowing for piezoelectricity) such as two dimensional (2D) transition…

Superconductivity · Physics 2009-11-10 B. Uchoa , A. H. Castro Neto , G. G. Cabrera