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We systematically investigate the emergence of finite-momentum Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconductivity in a square lattice Hubbard model with finite filling, driven by either $d_{xy}$-wave or $d_{x^{2}-y^{2}}$-wave…

Superconductivity · Physics 2026-01-13 Xia-Ji Liu , Hui Hu

To capture various experimental results in the pseudogap regime of the underdoped cuprate superconductors for temperature $T<T^{*}$, we propose a four-component pair density wave (PDW) state, in which all components compete with each other.…

Superconductivity · Physics 2016-06-03 Cheung Chan

Stimulated by recent interest in altermagnets, a novel class of antiferromagnets with macroscopic time-reversal symmetry breaking, we investigate the coexistence of altermagnetism and superconductivity. By developing a Ginzburg--Landau…

Superconductivity · Physics 2025-10-28 Shuntaro Sumita , Makoto Naka , Hitoshi Seo

We show that the pair-density-wave (PDW) superconducting state emergent in extended Heisenberg-Hubbard models in two-leg ladders is topological in the presence of an Ising spin symmetry and supports a Majorana zero mode (MZM) at an open…

Strongly Correlated Electrons · Physics 2014-12-22 Gil Young Cho , Rodrigo Soto-Garrido , Eduardo Fradkin

We analyze the pairing instability of an altermagnetic metal on a square lattice driven by an attractive nearest-neighbor interaction. This interaction enables multiple pairing channels, including even-parity extended $s$-wave and $d$-wave…

Superconductivity · Physics 2026-03-16 Hui Hu , Zhao Liu , Jia Wang , Xia-Ji Liu , Yoji Ohashi

Altermagnets represent a new class of magnetic phases without net magnetization that are invariant under a combination of rotation and time reversal. Unlike conventional collinear antiferromagnets (AFM), altermagnets could lead to new…

Altermagnetism, a recently identified magnetic phase that combines vanishing net magnetization with momentum-dependent spin splitting, challenges the conventional dichotomy between ferromagnets and antiferromagnets. While several candidate…

The interplay between charge density wave (CDW) and superconducting vortex bound states are crucial for fundamental physics of superconductivity and advancing quantum nanotechnologies. However, the CDW-mediated modulation of vortex bound…

Superconductivity · Physics 2026-01-13 Hao Zhang , Hui Chen , Zichen Huang , Zi-Ang Wang , Senhao Lv , Guoyu Xian , Hui Guo , Haitao Yang , Hong-Jun Gao

We report the emergence of an uncharted phenomenon, termed $d$-wave polarization-spin locking (PSL), in two-dimensional (2D) altermagnets. This phenomenon arises from nontrivial Berry connections, resulting in perpendicular electronic…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Zhao Liu , Nikhil V. Medhekar

In the self-consistent approximation for the two-dimensional mean-field model we found an analytic solution for the ground state with a coexisting d-wave symmetric bond ordered pair density wave (PDW) and spin (SDW) or charge (CDW) density…

Strongly Correlated Electrons · Physics 2025-03-27 S. I. Matveenko , S. I. Mukhin

Altermagnetism represents a type of collinear magnetism, that is in some aspects distinct from ferromagnetism and from conventional antiferromagnetism. In contrast to the latter, sublattices of opposite spin are related by spatial rotations…

Quantum Gases · Physics 2024-11-26 Purnendu Das , Valentin Leeb , Johannes Knolle , Michael Knap

A pair density wave (PDW) is a superconducting state characterized by an order parameter with finite center-of-mass momentum in the absence of an external magnetic field, thereby breaking the conventional translational symmetry in…

Superconductivity · Physics 2026-01-13 Zi-Ang Wang , Bin Hu , Xianghe Han , Hui Chen , Hong-Jun Gao

We investigate the thermodynamic properties of a two-dimensional d-wave superconductor in the vortex state using a semiclassical approach, and argue that such an approach is valid for the analysis of the experimental data on…

Superconductivity · Physics 2009-10-31 I. Vekhter , P. J. Hirschfeld , E. J. Nicol

Altermagnetism, a recently discovered magnetic phase characterized by spin-split bands without net magnetization, has emerged as promising platform for novel physics and potential applications. However, its stability against…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Chang-An Li , Bo Fu , Huaiming Guo , Björn Trauzettel , Song-Bo Zhang

We study the emergence of multiband superconductivity with $s$- and $d-$wave symmetry on the background of spin density wave (SDW). We show that the SDW coherence factors renormalize the momentum dependence of the superconducting (SC) gap,…

Superconductivity · Physics 2015-05-13 J. -P. Ismer , Ilya Eremin , Enrico Rossi , Dirk K. Morr , G. Blumberg

The pair-density-wave (PDW) exhibits periodic amplitude and sign modulations of the superconducting order parameter. Such a pairing state has been proposed to be sensitive to nonmagnetic scattering. In this work, we observe the nonmagnetic…

We show, based on microscopic models, that fermionic band insulators with multiple bands and strong interband attraction are generically unstable towards nonzero momentum Cooper pairing leading to a pair density wave (PDW) superfluid state.…

Superconductivity · Physics 2015-05-13 Predrag Nikolic , A. A. Burkov , Arun Paramekanti

Altermagnetism has recently emerged as a distinct and fundamental class of magnetic order. Exploring its interplay with quantum phenomena such as unconventional superconductivity, density-wave instabilities, and many-body effects represents…

Strongly Correlated Electrons · Physics 2025-09-18 Yuanji Xu , Huiyuan Zhang , Maoyuan Feng , Fuyang Tian

The pair density wave (PDW) exemplifies intertwined orders in strongly correlated systems. A recent discovery of superconductivity in a quarter-metal state offers the first experimental system where a pure PDW without uniform…

Superconductivity · Physics 2025-06-11 Omri Lesser , Chunli Huang , James P. Sethna , Eun-Ah Kim

We study thin films that host coexisting collinear $d$-wave altermagnetic and superconducting orders in the presence of an external magnetic field that fully penetrates the films. We use the Ginzburg-Landau functional to analyze the…

Superconductivity · Physics 2026-03-09 A. A. Mazanik , Rodrigo de las Heras , F. S. Bergeret