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Recently, it has been reported that the low-temperature high-magnetic field phase in CeCoIn5 (Q-phase), has spin-density wave (SDW) order that only exists within this phase. This indicates that the SDW order is the result of the development…

Strongly Correlated Electrons · Physics 2013-05-29 D. F. Agterberg , M. Sigrist , H. Tsunetsugu

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

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

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…

Superconductivity · Physics 2021-06-29 Xiaolong Liu , Yi Xue Chong , Rahul Sharma , J. C. Séamus Davis

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…

We consider competing pair-density-wave (PDW) and $d$-wave superconducting states in a magnetic field. We show that PDW order appears in the cores of $d$-wave vortices, driving checkerboard charge-density-wave (CDW) order in the vortex…

Superconductivity · Physics 2015-03-17 Daniel F. Agterberg , Julien Garaud

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…

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

Symmetry-breaking electronic phase in unconventional high-temperature (high-Tc) superconductors is a fascinating issue in condensed-matter physics, among which the most attractive phases are charge density wave (CDW) phase with four…

Superconductivity · Physics 2023-05-30 Tianheng Wei , Yanzhao Liu , Wei Ren , Ziqiang Wang , Jian Wang

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

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 underdoped high-Tc materials are characterized by a competition between Cooper pairing and antiferromagnetic (AF) order. Important differences between the superconducting (SC) state of these materials and conventional superconductors…

Superconductivity · Physics 2010-06-07 Markus Schmid , Brian M. Andersen , Arno P. Kampf , P. J. Hirschfeld

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

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

We analyze incommensurate charge-density-wave (CDW) and pair-density-wave (PDW) orders with transferred momenta $(\pm Q,0)$/$(0,\pm Q)$ in underdoped cuprates within the spin-fermion model. Both orders appear due to exchange of spin…

Strongly Correlated Electrons · Physics 2015-05-21 Yuxuan Wang , Daniel F. Agterberg , Andrey Chubukov

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 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

We analyze the interplay between charge-density-wave (CDW) and pair-density-wave (PDW) orders within the spin-fermion model for the cuprates. We specifically consider CDW order with transferred momenta $(\pm Q,0)$/$(0,\pm Q)$, and PDW order…

Strongly Correlated Electrons · Physics 2015-06-23 Yuxuan Wang , Daniel F. Agterberg , Andrey Chubukov

Motivated by exploring superconductivity in multi-orbital systems, we study two orbital models of spinful fermions representing ($p_x,p_y$) or ($d_{xz}, d_{yz})$ orbitals on the square lattice. For minimal interorbital $t$-$J$ or $t$-$V$…

Strongly Correlated Electrons · Physics 2026-04-27 Samuel Vadnais , Arun Paramekanti

The pair density wave (PDW) is a novel superconducting state in which Cooper pairs carry center-of-mass momentum in equilibrium, leading to the breaking of translational symmetry. Experimental evidence for such a state exists in high…

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