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We present a theory for charge-$4e$ superconductivity as a leading low-temperature instability with a nontrivial $d$-wave symmetry. We show that in several microscopic models for the pair-density-wave (PDW) state, when the PDW wave vectors…

Superconductivity · Physics 2024-08-13 Yi-Ming Wu , Yuxuan Wang

Charge-$4e$ superconductivity as a novel phase of matter remains elusive so far. Here we show that charge-$4e$ phase can arise as a vestigial order above the nematic superconducting transition temperature in time-reversal-invariant nematic…

Strongly Correlated Electrons · Physics 2021-11-24 Shao-Kai Jian , Yingyi Huang , Hong Yao

Charge-$4e$ superconductivity is an exotic state of matter that may emerge as a vestigial order from a charge-$2e$ superconductor with multicomponent superconducting order parameters. Showing its emergence in a microscopic model from…

Superconductivity · Physics 2025-10-31 Xuan Zou , Zhou-Quan Wan , Hong Yao

Over the last two decades, the competing orders in high-$T_{c}$ cuprates have been intensely studied, such as pseudogap phase, charge density waves (CDW), and pair density waves (PDW), which are thought to play a crucial role in…

Strongly Correlated Electrons · Physics 2025-11-24 Wayne Zheng , Zheng-Yuan Yue , Jian-Hao Zhang , Zheng-Cheng Gu

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

Competing and intertwined orders are ubiquitous in strongly correlated electron systems, such as the charge, spin, and superconducting orders in the high-Tc cuprates. Recent scanning tunneling microscopy (STM) measurements provide evidence…

Superatomic crystal is a class of hierarchical materials composed of atomically precise clusters assembled via van der Waals or covalent-like interactions. AuTe$_2$Se$_{4/3}$, an all-inorganic superatomic superconductor exhibiting…

We consider the id-density wave (DDW) order, representing the pseudo-gap (PG) state, and the d-wave superconductivity (DSC)within the BCS framework for the two-dimensional (2D) fermion system on a square lattice starting with a mean-field…

Superconductivity · Physics 2013-06-28 Partha Goswami

The physical nature of pseudogap phase is one of the most important and intriguing problems towards understanding the key mechanism of high temperature superconductivity in cuprates. Theoretically, the square-lattice $t$-$J$ model is widely…

Strongly Correlated Electrons · Physics 2024-05-16 Zheng-Yuan Yue , Zheng-Tao Xu , Shuo Yang , Zheng-Cheng Gu

This paper consists of two important theoretical observations on the interplay between l = 2 condensates; d-density wave (ddw), electronic nematic and d-wave superconducting states. (1) There is SO(4) invariance at a transition between the…

Strongly Correlated Electrons · Physics 2008-08-13 Hae-Young Kee , Hyeonjin Doh , Thomas Grzesiak

\alpha-(BEDT-TTF)2KHg(SCN)4 is considered to be in the charge-density-wave (CDW) state below 8 K. We present new magnetoresistance data suggesting that the material undergoes a series of field-induced CDW (FICDW) transitions at pressures…

Strongly Correlated Electrons · Physics 2009-11-10 M. V. Kartsovnik , D. Andres , W. Biberacher , P. D. Grigoriev , E. A. Schuberth , H. Mueller

Recent advances in experiment and theory suggest that superfluid $^3$He under planar confinement may form a pair density wave (PDW) whereby superfluid and crystalline orders coexist. While a natural candidate for this phase is a…

Superconductivity · Physics 2022-01-10 Pramodh Senarath Yapa , Rufus Boyack , Joseph Maciejko

We report a novel quasi-two dimensional compound of EuTe4 hosting charge density waves (CDW) instability. The compound has a crystallographic structure in a orthorhombic space group Pmmn (No.59) with cell parameters a = 4.6347(2){\AA}, b =…

Strongly Correlated Electrons · Physics 2019-02-13 D. Wu , Q. M. Liu , S. L. Chen , G. Y. Zhong , J. Su , L. Y. Shi , L. Tong , G. Xu , P. Gao , y , N. L. Wang

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

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

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…

Superconductivity · Physics 2024-09-04 Lu Cao , Yucheng Xue , Yingbo Wang , Fu-Chun Zhang , Jian Kang , Hong-Jun Gao , Jinhai Mao , Yuhang Jiang

Assembling transition metal dichalcogenides (TMDCs) at the two-dimensional (2D) limit is a promising approach for tailoring emerging states of matter such as superconductivity or charge density waves (CDWs). Single-layer (SL) VSe$_2$ stands…

We analyze the leading vestigial instability due to the melting of a bidirectional pair-density-wave state in two dimensions. In a previous work by one of the authors, it was found that the interplay between pair-density-wave fluctuations…

Strongly Correlated Electrons · Physics 2026-01-13 Ethan Huecker , Yuxuan Wang

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…

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
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