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In this study, we examine the superconducting instability of a quasi-one-dimensional lattice in the Hubbard model based on the random-phase approximation (RPA) and the fluctuation exchange (FLEX) approximation. We find that a spin-singlet…

Superconductivity · Physics 2021-09-15 Soma Yoshida , Keiji Yada , Yukio Tanaka

In underdoped cuprates, the interplay of the pseudogap, superconductivity, and charge and spin ordering can give rise to exotic quantum states, including the pair density wave (PDW), in which the superconducting (SC) order parameter is…

Superconductivity · Physics 2021-10-25 Zhenzhong Shi , P. G. Baity , J. Terzic , T. Sasagawa , Dragana Popović

Recent experiments have shown that the nonzero center of mass momentum pair density wave (PDW) is a widespread phenomenon observed over different superconducting materials. However, concrete theoretical model realizations of the PDW order…

Superconductivity · Physics 2025-08-19 Yi Zhang , Ziqiang Wang

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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 2023-06-21 Hong-Chen Jiang

Understanding the formation of novel pair density waves (PDWs) in strongly correlated electronic systems remains challenging. Recent mean-field studies suggest that PDW phases may arise in strong-coupling multiband superconductors by virtue…

Strongly Correlated Electrons · Physics 2025-10-24 Hao-Xin Wang , Wen Huang

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

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

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…

We review the physics of pair density wave (PDW) superconductors. We begin with a macroscopic description that emphasizes order induced by PDW states, such as charge density wave, and discuss related vestigial states that emerge as a…

We investigate the nematic and loop-current type orders that may arise as vestigial precursor phases in a model with an underlying pair-density wave (PDW) instability. We discuss how such a vestigial phase gives rise to a highly anisotropic…

Superconductivity · Physics 2023-04-07 Jonatan Wårdh , Mats Granath

Spontaneous breaking of translational symmetry---known as `density wave' order---is common in nature. However such states are strongly sensitive to impurities or other forms of frozen disorder leading to fascinating glassy phenomena. We…

Disordered Systems and Neural Networks · Physics 2015-07-29 David F. Mross , T. Senthil

We investigate the macroscopic effects of charge density waves (CDW) and superconductivity in layered superconducting systems with broken lattice inversion symmetry (allowing for piezoelectricity) such as two dimensional (2D) transition…

Superconductivity · Physics 2009-11-10 B. Uchoa , A. H. Castro Neto , G. G. Cabrera

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

Thin films of superfluid $^3$He were predicted, based on weak-coupling BCS theory, to have a stable phase which spontaneously breaks translational symmetry in the plane of the film. This crystalline superfluid, or "stripe" phase, develops…

Superconductivity · Physics 2016-06-29 Joshua J. Wiman , J. A. Sauls

In superfluid $^3$He-B confined in a slab geometry, domain walls between regions of different order parameter orientation are predicted to be energetically stable. Formation of the spatially-modulated superfluid stripe phase has been…

Charge-density-wave (CDW) instability and pressure-induced superconductivity in bulk 1T-NbS2 are predicted theoretically by first-principles calculations. We reveal a CDW instability towards the formation of a stable commensurate CDW order,…

Strongly Correlated Electrons · Physics 2020-10-20 Wei Wang , Bosen Wang , Zhibin Gao , Gang Tang , Wen Lei , Xiaojun Zheng , Huan Li , Xing Ming , Carmine Autieri

It is now well established that superconducting cuprates support a charge density wave state in the so-called underdoped region of their phase diagram. We investigate the possibility of charge order in the square-lattice Hubbard model, both…

Strongly Correlated Electrons · Physics 2017-03-22 J. P. L. Faye , D. Sénéchal

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

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…

Superconductivity · Physics 2023-06-30 Yanzhao Liu , Tianheng Wei , Guanyang He , Yi Zhang , Ziqiang Wang , Jian Wang