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The occurrences of collective quantum states, such as superconductivity (SC) and charge- or spin-densitywaves (CDWs or SDWs), are among the most fascinating phenomena in solids. To date much effort has been made to explore the interplay…

Strongly Correlated Electrons · Physics 2014-10-15 B. F. Hu , B. Cheng , R. H. Yuan , T. Dong , N. L. Wang

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

UTe$_2$ has been the focus of numerous experimental and theoretical studies in recent years, as it is recognized as an odd-parity bulk superconductor. Its surface has also been probed, revealing charge density wave (CDW), pair density wave…

Superconductivity · Physics 2025-04-01 Andras Szabo , Aline Ramires

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

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…

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

Superconductivity (SC) in so-called "unconventional superconductors" is nearly always found in the vicinity of another ordered state, such as antiferromagnetism, charge density wave (CDW), or stripe order. This suggests a fundamental…

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…

Superconductivity · Physics 2023-01-25 Yi-Ming Wu , P. A. Nosov , Aavishkar A. Patel , S. Raghu

Pd-intercalated ErTe$_3$ is studied as a model system to explore the effect of "intertwined" superconducting and charge density wave (CDW) orders. Despite the common wisdom that superconductivity emerges only when CDW is suppressed, we…

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…

Charge density waves (CDWs) are periodic modulations of the conduction electron density in solids. They are collective states that arise from intrinsic instabilities often present in low dimensional electronic systems. The layered…

A recent discovery of the pair density wave (PDW) order creates a stir in understanding an underlying physics in the pseudogap states of the cuprate high temperature superconductors. We have performed a Spectroscopic Imaging Scanning…

Superconductivity · Physics 2021-10-02 Zengyi Du , Hui Li , Kazuhiro Fujita

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

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

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…

Superconductivity · Physics 2014-04-22 Rodrigo Soto-Garrido , Eduardo Fradkin

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

We analyze the interplay between a d-wave uniform superconducting and a pair-density-wave (PDW) order parameter in the neighborhood of a vortex. We develop a phenomenological nonlinear sigma-model, solve the saddle point equation for the…

A recent scanning tunneling microscopy (STM) experiment reports the observation of charge density wave (CDW) with period of approximately 8a in the halo region surrounding the vortex core, in striking contrast to the approximately period 4a…

Strongly Correlated Electrons · Physics 2018-07-20 Zhehao Dai , Ya-Hui Zhang , T. Senthil , Patrick Lee

With the ground breaking work of the Fulde, Ferell, Larkin, and Ovchinnikov (FFLO), it was realized that superconducting order can also break translational invariance; leading to a phase in which the Cooper pairs develop a coherent periodic…

Strongly Correlated Electrons · Physics 2009-02-06 D. F. Agterberg , H. Tsunetsugu

The electronic-structural modulations of Ir$_{1-x}$Pt$_x$Te$_2$ (0 $\leqq x\leqq$ 0.12) have been examined by resonant elastic x-ray scattering (REXS) and resonant inelastic x-ray scattering (RIXS) techniques at both the Ir and Te edges.…

Strongly Correlated Electrons · Physics 2018-07-04 K. Takubo , K. Yamamoto , Y. Hirata , H. Wadati , T. Mizokawa , R. Sutarto , F. He , K. Ishii , Y. Yamasaki , H. Nakao , Y. Murakami , G. Matsuo , H. Ishii , M. Kobayashi , K. Kudo , M. Nohara