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A composite pairing structure of superconducting state is revealed by density matrix renormalization group study in a two-leg $t$-$J$ model. The pairing order parameter is composed of a pairing amplitude and a phase factor, in which the…

Strongly Correlated Electrons · Physics 2024-03-15 Hao-Kai Zhang , Rong-Yang Sun , Zheng-Yu Weng

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

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…

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

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

Recently a novel surface pair-density-wave (PDW) superconducting state has been discovered in Refs. [Phys. Rev. Lett. \textbf{122}, 165302 (2019)] and Phys. Rev. B \textbf{101}, 054506 (2020)], which may go through a distinct multiple phase…

Superconductivity · Physics 2023-07-25 Liangyuan Chen , Yajiang Chen , Zhang Wenhui , Zhou Shuhua

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

Stimulated by recent studies of superconductivity and magnetism with local and global broken inversion symmetry, we investigate the superconductivity in magnetic multipole states in locally noncentrosymmetric metals. We consider a…

Superconductivity · Physics 2016-06-09 Shuntaro Sumita , Youichi Yanase

Fermi-surface spin splitting generated by non-relativistic exchange fields provides a new route to topological superconductivity without relying on strong spin-orbit coupling. Here, we study superconducting instabilities of a square-lattice…

Strongly Correlated Electrons · Physics 2026-05-05 Kyoung-Min Kim , Gibaik Sim , Moon Jip Park

Spin-triplet topological superconductors should exhibit many unprecedented electronic properties including fractionalized electronic states relevant to quantum information processing. Although UTe$_2$ may embody such bulk topological…

In the presence of both space and time reversal symmetries, an s-wave A1g superconducting state is usually topologically trivial. Here we demonstrate that an exception can take place in a type of nonsymmorphic lattice structures. We specify…

Superconductivity · Physics 2022-02-17 Shengshan Qin , Chen Fang , Fu-Chun Zhang , Jiangping Hu

We provide a quasi-one-dimensional model which can support a pair-density-wave (PDW) state, in which the superconducting (SC) order parameter modulates periodically in space, with gapless Bogoliubov quasiparticle excitations. The model…

Strongly Correlated Electrons · Physics 2015-05-07 Rodrigo Soto-Garrido , Gil Young Cho , Eduardo Fradkin

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…

We report the numerical discovery of a pair-density-wave (PDW) superconductor from doping either (i) a spin-one Haldane chain or (ii) a two-leg ladder in the rung singlet phase in which the doped charges occupy a single leg. We model these…

Strongly Correlated Electrons · Physics 2022-07-20 Ya-Hui Zhang , Ashvin Vishwanath

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

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

We introduce a two-dimensional Chern insulator in proximity to a $d$-wave pseudogap state of the high-T$_c$ superconducting material as an effective platform to realize the higher order topological system. The proximity-induced…

Superconductivity · Physics 2022-11-21 Xiaoming Wang , Yu-Xuan Li , Tao Zhou

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

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 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