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Pair-density waves (PDW) are superconducting states that spontaneously break translation symmetry in systems with time-reversal symmetry (TRS). Evidence for PDW has been seen in several recent experiments, as well as in the pseudogap regime…

Superconductivity · Physics 2023-08-02 Daniel Shaffer , Luiz H. Santos

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…

Superconductivity · Physics 2025-06-06 Meng Yao , Yan Wang , Da Wang , Jia-Xin Yin , Qiang-Hua Wang

Motivated by the observation of a pair density wave (PDW) in the kagome metal CsV${}_3$Sb${}_5$, we consider the fate of electrons near a p-type van Hove singularity (vHS) in the presence of local repulsive interactions. We study the effect…

Strongly Correlated Electrons · Physics 2023-07-21 Yi-Ming Wu , Ronny Thomale , S. Raghu

Pair-density-wave (PDW) is a long-sought exotic state with oscillating superconducting order without external magnetic field. So far it has been rare in establishing a 2D microscopic model with PDW long-range order in its ground state. Here…

Superconductivity · Physics 2024-10-29 Yi-Fan Jiang , Hong Yao

We analyze the pairing instabilities for fermions on hexagonal lattices (both honeycomb and triangular ones) in a wide range of fermionic densities. We argue that for a generic doping in this range, superconductivity at weak coupling is of…

Superconductivity · Physics 2014-04-29 Rahul Nandkishore , Ronny Thomale , Andrey V. Chubukov

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…

Superconductivity · Physics 2026-04-07 Han-Yang Liu , Da Wang , Ziqiang Wang , Qiang-Hua Wang

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

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

Geometric frustration has long been a subject of enduring interest in condensed matter physics. While geometric frustration traditionally focuses on magnetic systems, little attention is paid to the "frustrated superconductivity" which…

Superconductivity · Physics 2025-10-16 Hong-Min Jiang , Wen-Qian Dong , Shun-Li Yu , Z. D. Wang

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…

Superconductivity · Physics 2025-12-09 Hao-Xin Wang , Yi-Jian Hu , Wen Huang , Hong Yao

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…

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

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

Recent experiments have identified fascinating electronic orders in kagome materials, including intriguing superconductivity, charge density wave (CDW) and nematicity. In particular, some experimental evidence for AV$_3$Sb$_5$ (A = K,Rb,Cs)…

Strongly Correlated Electrons · Physics 2026-04-07 Rui-Qing Fu , Jun Zhan , Matteo Dürrnagel , Hendrik Hohmann , Ronny Thomale , Jiangping Hu , Ziqiang Wang , Sen Zhou , Xianxin Wu

The transition-metal kagome lattice materials host frustrated, correlated, and topological quantum states of matter. Recently, a new family of vanadium-based kagome metals AV3Sb5 (A=K, Rb, and Cs) with topological band structures has been…

Superconductivity in a partially filled flat band presents a vexing conceptual hurdle because the absence of a Fermi surface precludes a weak-coupling regime where one can extend insights from the Bardeen-Cooper-Schrieffer picture of a…

Superconductivity · Physics 2026-04-17 Tamaghna Hazra , Nishchhal Verma , Jörg Schmalian

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…

Strongly Correlated Electrons · Physics 2022-02-07 Kevin S. Huang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

The Hubbard model on the kagome lattice is presently often considered as a minimal model to describe the rich low-temperature behavior of AV$_{3}$Sb$_{5}$ compounds (with A=K, Rb, Cs), including charge-density waves (CDWs),…

Strongly Correlated Electrons · Physics 2022-08-16 Francesco Ferrari , Federico Becca , Roser Valentí

According to the Bardeen-Cooper-Schrieffer (BCS) theory, superconductivity usually needs well defined Fermi surface(s) with strong electron-phonon coupling and moderate quasiparticle density of states (DOS). A kagome lattice can host flat…

Superconductivity · Physics 2023-02-22 Qing Li , Yuxiang Wu , Xinwei Fan , Ying-Jie Zhang , Xiyu Zhu , Zhengyan Zhu , Yiwen Li , Hai-Hu Wen

A band-projection formalism is developed for calculating the superfluid weight in two-dimensional multi-orbital superconductors with an orbital-dependent pairing. It is discovered that, in this case, the band geometric superfluid stiffness…

Superconductivity · Physics 2023-10-16 Guodong Jiang , Yafis Barlas
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