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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

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

In light of the new experimental and theoretical important developments in high-$T_c$ superconductivity, we revisit the fermionic hot-spot model relevant to the phenomenology of the cuprates. We extend previous results by means of a…

Strongly Correlated Electrons · Physics 2015-08-05 Hermann Freire , Vanuildo S. de Carvalho , Catherine Pépin

Suggestive, but indirect evidence of the existence of pair-density wave (PDW) order in several high-$T_{\rm c}$ cuprates has been reported. As this constitutes a new quantum phase of matter, it is important to {\it establish} its existence…

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 show using bosonization methods that extended Hubbard-Heisenberg models on two types of two leg ladders (without flux and with flux $\pi$ per plaquette) have commensurate pair-density wave (PDW) phases. In the case of the conventional…

Strongly Correlated Electrons · Physics 2012-01-12 Akbar Jaefari , Eduardo Fradkin

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

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…

Superconductivity · Physics 2024-12-17 Marcus Rosales , Eduardo Fradkin

A major obstacle in understanding the mechanism of Cooper pairing in the cuprates is the existence of various intertwined orders associated with spin, charge, and Cooper pairs. Of particular importance is the ubiquitous charge order…

Superconductivity · Physics 2019-05-08 Wei Ruan , Xintong Li , Cheng Hu , Zhenqi Hao , Haiwei Li , Peng Cai , Xingjiang Zhou , Dung-Hai Lee , Yayu Wang

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…

The Peierls instability, the spontaneous dimerization of a one-dimensional metallic chain at half filling, is a paradigmatic mechanism for charge-density-wave (CDW) formation. Here we test its robustness under finite doping and interchain…

Mesoscale and Nanoscale Physics · Physics 2026-02-27 Aitor Garcia-Ruiz , Che-pin Hsu , Ming-Hao Liu , Marcin Mucha-Kruczynski

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

When very high magnetic fields suppress the superconductivity in underdoped cuprates, an exceptional new electronic phase appears. It supports remarkable and unexplained quantum oscillations and exhibits an unidentified density wave (DW)…

The long-sought pair density wave (PDW) is an exotic phase of matter in which charge density wave (CDW) order is intertwined with the amplitude or phase of coexisting, superconducting order \cite{Berg2009,Berg2009b}. Originally predicted to…

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

A density wave (DW) is a fundamental type of long-range order in quantum matter tied to self-organization into a crystalline structure. The interplay of DW order with superfluidity can lead to complex scenarios that pose a great challenge…

Interior-gap superconductivity has long been discussed as an exotic paired state in the presence of Fermi-surface mismatch, but its realization in canonical strongly correlated models has remained elusive. Here we present evidence that the…

Strongly Correlated Electrons · Physics 2026-05-01 Yuto Hirose , Shunsuke C. Furuya , Yasuhiro Tada

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

We discuss the interplay between electronic correlations and an underlying superlattice structure in determining the period of charge density waves (CDW's), by considering a one-dimensional Hubbard model with a repeated (non-random) pattern…

Strongly Correlated Electrons · Physics 2009-11-11 Andre L Malvezzi , Thereza Paiva , Raimundo R dos Santos

Motivated by the pair-density-wave (PDW) state found in the one-dimensional Kondo-Heisenberg chain, we report on a determinant quantum Monte Carlo DQMC study of pair-fields for a two-dimensional half-filled Hubbard layer coupled to an…

Strongly Correlated Electrons · Physics 2024-10-10 Fangze Liu , Xu-Xin Huang , Edwin W. Huang , Brian Moritz , Thomas P. Devereaux