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To understand the origin of unconventional charge-density-wave (CDW) states in cuprate superconductors, we establish the self-consistent CDW equation, and analyze the CDW instabilities based on the realistic Hubbard model, without assuming…

Strongly Correlated Electrons · Physics 2018-06-05 Kouki Kawaguchi , Youichi Yamakawa , Masahisa Tsuchiizu , Hiroshi Kontani

The interplay between charge-density waves (CDWs), which break translational symmetry, and spatially homogeneous superconductivity, which breaks global U(1) gauge symmetry, can give rise to an intriguing phenomenon: the pair-density wave,…

We present a theory for charge-$4e$ superconductivity as a leading low-temperature instability with a nontrivial $d$-wave symmetry. We show that in several microscopic models for the pair-density-wave (PDW) state, when the PDW wave vectors…

Superconductivity · Physics 2024-08-13 Yi-Ming Wu , Yuxuan Wang

A novel spin density wave (SDW) instability mechanism enhanced by vortices under fields is proposed to explain the high field and low temperature (HL) phase in CeCoIn$_5$. In the vortex state the strong Pauli effect and the nodal gap…

Superconductivity · Physics 2011-04-14 K. M. Suzuki , M. Ichioka , K. Machida

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 interplay between charge density waves (CDWs) and superconductivity is a central theme in quantum materials, yet how CDW phase textures govern vortex topology remains poorly understood. We develop a theoretical framework showing that…

Superconductivity · Physics 2026-04-20 Zhenhua Zhu , Ziqiang Wang , Dong E. Liu

Motivated by recent thermal conductivity measurements in the superconductor CeCoIn5, we theoretically examine a possible staggered spin-triplet superconducting order to be induced by the coupled spin-density-wave (SDW) and d-wave…

Superconductivity · Physics 2017-06-28 Ken-ichi Hosoya , Ryusuke Ikeda

We investigate the effects of disorder on a system that in the clean limit is a pair density wave (PDW) superconductor. The charge order of the clean PDW is inevitably lost (via Imry-Ma), but the fate of the superconducting order is less…

Strongly Correlated Electrons · Physics 2025-09-26 Julian May-Mann , Akshat Pandey , Steven A. Kivelson

With the discovery of charge density waves (CDW) in most members of the cuprate high temperature superconductors, the interplay between superconductivity and CDW has become a key point in the debate on the origin of high temperature…

In the conventional theory of density wave ordering in metals, the onset of spin density wave (SDW) order co-incides with the reconstruction of the Fermi surfaces into small 'pockets'. We present models which display this transition, while…

Strongly Correlated Electrons · Physics 2016-09-28 Subir Sachdev , Erez Berg , Shubhayu Chatterjee , Yoni Schattner

The conventional spin density wave (SDW) phase (Overhauser, 1962), as found in antiferromagnetic metal for example (Fawcett 1988), can be described as a condensate of particle-hole pairs with zero angular momentum, $\ell=0$, analogous to a…

Quantum Gases · Physics 2013-04-25 S. G. Bhongale , L. Mathey , Shan-Wen Tsai , Charles W. Clark , Erhai Zhao

Electron-pair density wave (PDW) states are now an intense focus of research in the field of cuprate correlated superconductivity. PDWs exhibit periodically modulating superconductive electron pairing which can be visualized directly using…

It is shown theoretically that, in the superconducting state with $d_{x^2-y^2}$-pairing, a strong Pauli paramagnetic depairing (PD) induces not only the modulated Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconducting state but also an…

Superconductivity · Physics 2015-05-19 Yuhki Hatakeyama , Ryusuke Ikeda

A robust theory of the mechanism of pair density wave (PDW) superconductivity (i.e. where Cooper pairs have nonzero center of mass momentum) remains elusive. Here we explore the triangular lattice $t$-$J$-$V$ model, a low-energy effective…

Strongly Correlated Electrons · Physics 2025-10-28 Jiucai Wang , Wen Sun , Hao-Xin Wang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

We consider a 2D electron system on a square lattice with hopping beyond nearest neighbors. The existence of the quantum critical point associated with an electronic topological transition in the noninteracting system results in density…

Strongly Correlated Electrons · Physics 2016-08-31 F. Bouis , M. N. Kiselev , F. Onufrieva , P. Pfeuty

The discovery of multiple charge-density-wave (CDW) orders in superconducting cuprates and Kagome CsV3Sb5 has offered a unique milieu for studying the interplay of CDW and superconductivity and altered our perspective on their nature. Here,…

Superconductivity · Physics 2023-10-06 Shuyang Wang , Qing Wang , Chao An , Yonghui Zhou , Ying Zhou , Xuliang Chen , Ning Hao , Zhaorong Yang

Pair spin-orbit interaction can emerge in strongly-interacting systems characterized by a large spin-orbit coupling. Here we study the role of this interaction in stabilizing ordered and unconventional superconducting phases. We find that,…

Superconductivity · Physics 2025-07-30 Feng Liu , Alessandro Principi

A spatially modulated superconducting state, known as pair density wave (PDW), is a tantalizing state of matter with unique properties. Recent scanning tunneling microscopy (STM) studies revealed that spin-triplet superconductor UTe$_2$…

Strongly Correlated Electrons · Physics 2024-08-08 Caitlin S. Kengle , Jakub Vonka , Sonia Francoual , Johan Chang , Peter Abbamonte , Marc Janoschek , P. F. S. Rosa , Wolfgang Simeth

We describe the interplay between d-wave superconductivity and spin density wave (SDW) order in a theory of the hole-doped cuprates at hole densities below optimal doping. The theory assumes local SDW order, and associated electron and hole…

Strongly Correlated Electrons · Physics 2009-07-16 Eun Gook Moon , Subir Sachdev

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