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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…

超导电性 · 物理学 2024-10-16 Nicole Sabina Ticea , Srinivas Raghu , Yi-Ming Wu

Pair density waves (PDW) are novel forms of superconducting states that exhibit periodically modulated pairing. A remaining challenge is to elucidate how intrinsic PDW order can emerge robustly in strongly correlated electrons. Here we…

超导电性 · 物理学 2025-12-09 Hao-Xin Wang , Yi-Jian Hu , Wen Huang , Hong Yao

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…

超导电性 · 物理学 2021-06-29 Xiaolong Liu , Yi Xue Chong , Rahul Sharma , J. C. Séamus Davis

A pair-density-wave (PDW) is a novel superconducting state with an oscillating order parameter. A microscopic mechanism that can give rise to it has been long sought but has not yet been established by any controlled calculation. Here we…

强关联电子 · 物理学 2022-02-07 Kevin S. Huang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

The pair density wave (PDW) is a novel superconducting state with non-zero center-of-mass momentum Cooper pairing in the absence of external magnetic fields. Its realization in microscopic models as the ground state is very rare and…

超导电性 · 物理学 2026-04-07 Han-Yang Liu , Da Wang , Ziqiang Wang , Qiang-Hua Wang

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…

超导电性 · 物理学 2014-04-22 Rodrigo Soto-Garrido , Eduardo Fradkin

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…

强关联电子 · 物理学 2025-10-28 Jiucai Wang , Wen Sun , Hao-Xin Wang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

When Cooper pairs are formed with finite center-of-mass momentum, the defining characteristic is a spatially modulating superconducting energy gap $\Delta(r)$. Recently, this concept has been generalized to the pair density wave (PDW) state…

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…

超导电性 · 物理学 2024-09-04 Lu Cao , Yucheng Xue , Yingbo Wang , Fu-Chun Zhang , Jian Kang , Hong-Jun Gao , Jinhai Mao , Yuhang Jiang

The quest to understand the nature of superconductivity in cuprates has spotlighted the pair density wave (PDW) -- a superconducting state characterized by a spatially modulated order parameter. Despite significant advances in understanding…

强关联电子 · 物理学 2023-09-22 Hong-Chen Jiang , Thomas Peter Devereaux

A pair density wave (PDW) is a superconducting (SC) state with spatially modulated order parameter. Although much is known about the properties of the PDW state, its realization in microscopic models with divergent susceptibility has been…

强关联电子 · 物理学 2023-06-21 Hong-Chen Jiang

Pair density wave (PDW) is an intriguing quantum matter proposed in the frontier of condensed matter physics. However, the existence of PDW in microscopic models has been rare. In this work, we obtain, by Ginzburg-Landau arguments and…

超导电性 · 物理学 2025-06-06 Meng Yao , Yan Wang , Da Wang , Jia-Xin Yin , Qiang-Hua Wang

A pair density wave (PDW) is a superconductor whose order parameter is a periodic function of space, without an accompanying spatially-uniform component. Since PDWs are not the outcome of a weak-coupling instability of a Fermi liquid, a…

超导电性 · 物理学 2023-01-25 Yi-Ming Wu , P. A. Nosov , Aavishkar A. Patel , S. Raghu

The pair density wave (PDW) is an extraordinary superconducting state where Cooper pairs carry nonzero momentum. It can emerge when the full condensation of zero momentum Cooper pairs is frustrated. Evidence for the existence of intrinsic…

超导电性 · 物理学 2023-06-30 Yanzhao Liu , Tianheng Wei , Guanyang He , Yi Zhang , Ziqiang Wang , Jian Wang

Competing density waves play an important role in the mystery of high-temperature superconductors. In spite of the large amount of experimental evidence, the fundamental question of whether these modulations represent charge or pairing…

超导电性 · 物理学 2020-07-15 David Dentelski , Emanuele G. Dalla Torre

The spin-density wave (SDW) can be considered as a pair of charge density waves (CDWs), one composed only of electrons with up-spins and the other only of electrons with down-spins. The high-temperature superconductivity found in cuprates…

超导电性 · 物理学 2013-10-17 Je Huan Koo , Kwang Chul Son

Pair density waves (PDWs) are a inhomogeneous superconducting states whose Cooper pairs possess a finite momentum resulting in a oscillatory gap in space, even in the absence of an external magnetic field. There is growing evidence for the…

超导电性 · 物理学 2024-12-17 Marcus Rosales , Eduardo Fradkin

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…

超导电性 · 物理学 2020-07-21 Tanmoy Das

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…

超导电性 · 物理学 2026-02-19 Ke Wang , Qijin Chen , Rufus Boyack , K. Levin

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…

超导电性 · 物理学 2026-01-13 Zi-Ang Wang , Bin Hu , Xianghe Han , Hui Chen , Hong-Jun Gao
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