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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…

强关联电子 · 物理学 2022-02-07 Kevin S. Huang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

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…

超导电性 · 物理学 2025-06-06 Meng Yao , Yan Wang , Da Wang , Jia-Xin Yin , Qiang-Hua Wang

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…

超导电性 · 物理学 2024-10-29 Yi-Fan Jiang , 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 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…

超导电性 · 物理学 2023-06-30 Yanzhao Liu , Tianheng Wei , Guanyang He , Yi Zhang , Ziqiang Wang , Jian Wang

Central to the layered kagome lattice superconductors AV3Sb5 (A = K, Cs, Rb) is a cascade of novel quantum states triggered by an unconventional charge density wave (CDW) order. The three-dimensional (3D) order involves a 2x2x2 phase…

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…

超导电性 · 物理学 2014-04-22 Rodrigo Soto-Garrido , Eduardo Fradkin

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…

超导电性 · 物理学 2021-06-29 Xiaolong Liu , Yi Xue Chong , Rahul Sharma , J. C. Séamus Davis

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…

超导电性 · 物理学 2023-06-30 Daniel Shaffer , F. J. Burnell , Rafael M. Fernandes

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…

超导电性 · 物理学 2023-01-25 Yi-Ming Wu , P. A. Nosov , Aavishkar A. Patel , S. Raghu

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…

超导电性 · 物理学 2025-12-09 Hao-Xin Wang , Yi-Jian Hu , Wen Huang , Hong Yao

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 $t$-$V$…

强关联电子 · 物理学 2026-04-27 Samuel Vadnais , Arun Paramekanti

Pair density waves (PDWs) are superconducting states formed by ``Cooper pairs" of electrons containing a non-zero center-of-mass momentum. They are characterized by a spatially modulated order parameter and may occur in a variety of…

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…

强关联电子 · 物理学 2025-10-28 Jiucai Wang , Wen Sun , Hao-Xin Wang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

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…

强关联电子 · 物理学 2009-02-06 D. F. Agterberg , H. Tsunetsugu

Pair density wave (PDW) is a distinct superconducting state characterized by a periodic modulation of its order parameter in real space. Its intricate interplay with the charge density wave (CDW) state is a continuing topic of interest in…

超导电性 · 物理学 2024-09-04 Lu Cao , Yucheng Xue , Yingbo Wang , Fu-Chun Zhang , Jian Kang , Hong-Jun Gao , Jinhai Mao , Yuhang Jiang

We show that the pair-density-wave (PDW) superconducting state emergent in extended Heisenberg-Hubbard models in two-leg ladders is topological in the presence of an Ising spin symmetry and supports a Majorana zero mode (MZM) at an open…

强关联电子 · 物理学 2014-12-22 Gil Young Cho , Rodrigo Soto-Garrido , Eduardo Fradkin

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…

超导电性 · 物理学 2026-01-13 Zi-Ang Wang , Bin Hu , Xianghe Han , Hui Chen , Hong-Jun Gao

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…

超导电性 · 物理学 2023-08-02 Daniel Shaffer , Luiz H. Santos

The recent discovery of novel charge density wave (CDW) and pair density wave (PDW) in kagom\'e lattice superconductors $A$V$_3$Sb$_5$ ($A=$ K, Rb, Cs) hints at unexpected time-reversal symmetry breaking correlated and topological states…

超导电性 · 物理学 2022-11-29 Sen Zhou , Ziqiang Wang
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