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We study finite-momentum superconductivity in a two-dimensional $d$-wave altermagnetic superconductor using a non-perturbative Monte Carlo approach beyond mean-field theory. We show that altermagnetism stabilizes a pair density wave (PDW)…

Superconductivity · Physics 2026-03-27 Amrutha N Madhusuthanan , Madhuparna Karmakar

We explore the possibilities for spin-singlet superconductivity in newly discovered altermagnets. Investigating $d$-wave altermagnets, we show that finite-momentum superconductivity can easily emerge in altermagnets even though they have no…

Superconductivity · Physics 2024-03-29 Debmalya Chakraborty , Annica M. Black-Schaffer

Altermagnets, combining zero net magnetization with intrinsic spin splitting, demonstrate unique quantum phenomena crucial for spintronic applications. KV$_2$Se$_2$O is proven to be a d-wave altermagnet with phase transition from a…

Materials Science · Physics 2026-02-04 Xu Yan , Ziyin Song , Juntao Song , Zhong Fang , Hongming Weng , Quansheng Wu

Inspired by recent discovery of metallic $d$-wave altermagnetism in KV$_2$Se$_2$O, we develop a self-consistent microscopic many-body calculation of density-wave order for an itinerant altermagnetic metal. We show that the strong $d$-wave…

Strongly Correlated Electrons · Physics 2026-02-13 Fei Yang , Guo-Dong Zhao , Binghai Yan , Long-Qing Chen

Altermagnetism, a recently proposed and experimentally confirmed class of magnetic order, features collinear compensated magnetism with unconventional d-, g-, or i-wave spin order. Here, we show that in a metallic 2D d-wave altermagnet with…

We present a theoretical model to show that the transition from an antiferromagnetic (AFM) phase to the $d_{x^2-y^2}$-wave superconductivity occurs through a robust companion of a finite momentum pairing between $({\bf k},\uparrow)$ and…

Superconductivity · Physics 2020-07-21 Tanmoy Das

Beyond conventional ferromagnetism and antiferromagnetism, altermagnetism is a recently discovered unconventional magnetic phase characterized by time-reversal symmetry breaking and spin-split band structures in materials with zero net…

We systematically study the efficiency of the intrinsic superconducting diode effect of several pair-density-wave states that can emerge in two-dimensional $d$-wave metallic altermagnets. To this end, we investigate several scenarios using…

Superconductivity · Physics 2025-10-31 Igor de M. Froldi , Hermann Freire

Two-dimensional materials are ideal candidates to host Charge density waves (CDWs) that exhibit paramagnetic limiting behavior, similarly to the well known case of superconductors. Here we study how CDWs in two-dimensional systems can…

Superconductivity · Physics 2020-09-18 Alex Aperis , Georgios Varelogiannis

Pair density wave (PDW) states are defined by a spatially modulating superconductive order-parameter. To search for such states in transition metal dichalcogenides (TMD) we use high-speed atomic-resolution scanned Josephson-tunneling…

Superconductivity · Physics 2021-06-29 Xiaolong Liu , Yi Xue Chong , Rahul Sharma , J. C. Séamus Davis

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…

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

Altermagnets - collinear, zero-net-moment magnets with momentum-odd spin splitting protected by crystalline symmetries - offer a tunable route to suppress long-range antiferromagnetism while preserving strong short-range spin fluctuations.…

Superconductivity · Physics 2026-04-01 Ji Liu , Jianyu Li , Peng Zhang , Xiaosen Yang , Ho-Kin Tang

The combined rotational and time-reversal symmetry breakings that define an altermagnet lead to an unusual d-wave (or g-wave) magnetization order parameter, which in turn can be modeled in terms of multipolar magnetic moments. Here, we show…

Strongly Correlated Electrons · Physics 2023-10-19 Charles R. W. Steward , Rafael M. Fernandes , Joerg Schmalian

We present the first finite-temperature study of a strongly correlated $d$-wave altermagnet across the Mott insulator-metal transition using a non-perturbative numerical approach. We map out the thermal phase diagram and provide…

Strongly Correlated Electrons · Physics 2026-03-04 Santhosh Kannan , Jainam Savla , Madhuparna Karmakar

We consider an altermagnet subject to the electron attractive potential mediated by the dispersive phonons. While altermagnetism suppresses superconductivity, scattering of electrons on the Fermi surface by thermal phonons suppresses…

Superconductivity · Physics 2025-03-31 Ivan Iorsh

Describing and achieving `unconventional' superconductivity remains a forefront challenge in quantum many-body physics. Here we use a unitary mapping, combined with the well-established properties of the attractive Hubbard model to…

Superconductivity · Physics 2024-04-18 Xingchuan Zhu , Junsong Sun , Shou-Shu Gong , Wen Huang , Shiping Feng , Richard T. Scalettar , Huaiming Guo

Pair-density-wave (PDW) states are a long-sought-after phase of quantum materials, with the potential to unravel the mysteries of high-$T_c$ cuprates and other strongly correlated superconductors. Yet, surprisingly, a key signature of…

Superconductivity · Physics 2026-02-19 Ke Wang , Qijin Chen , Rufus Boyack , K. Levin

Pair density waves (PDWs) are superconducting states formed by ``Cooper pairs" of electrons containing a non-zero center-of-mass momentum. They are characterized by a spatially modulated order parameter and may occur in a variety of…

We solve the two-electron problem on a square lattice with $d$-wave altermagnetism, considering both on-site and nearest-neighbor attractive interactions. The altermagnetic spin-splitting in the single-particle dispersion naturally gives…

Superconductivity · Physics 2026-01-21 Hui Hu , Zhao Liu , Jia Wang , Xia-Ji Liu
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