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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

Recent studies establish that the cuprate pseudogap phase is susceptible at low temperatures to forming not only a $d$-symmetry superconducting (SC) state, but also a $d$-symmetry form factor (dFF) density wave (DW) state. The concurrent…

The discovery of the charge-density-wave formation in the high-$T_c$ cuprate superconductors has activated intensive theoretical studies for the pseudogap states. However, the microscopic origin of the charge-density-wave state has been…

Strongly Correlated Electrons · Physics 2016-05-03 Masahisa Tsuchiizu , Youichi Yamakawa , Hiroshi Kontani

To understand the origin of unconventional charge-density-wave (CDW) states in cuprate superconductors, we establish the self-consistent CDW equation, and analyze the CDW instabilities based on the realistic Hubbard model, without assuming…

Strongly Correlated Electrons · Physics 2018-06-05 Kouki Kawaguchi , Youichi Yamakawa , Masahisa Tsuchiizu , Hiroshi Kontani

The interplay between superconductivity and charge density waves (CDW) in $H$-NbSe2 is not fully understood despite decades of study. Artificially introduced disorder can tip the delicate balance between two competing forms of long-range…

We define a distinct phase of matter, a "pair density wave" (PDW), in which the superconducting order parameter $\phi$ varies periodically as a function of position such that when averaged over the center of mass position, all components of…

Superconductivity · Physics 2009-02-25 Erez Berg , Eduardo Fradkin , Steven A. Kivelson

We show that odd-parity superconductivity occurs in multilayer Rashba systems without requiring spin-triplet Cooper pairs. A pairing interaction in the spin-singlet channel stabilizes the odd-parity pair-density-wave (PDW) state in the…

Superconductivity · Physics 2015-10-29 Tatsuya Watanabe , Tomohiro Yoshida , Youichi Yanase

Unconventional superconductors have been long sought for their potential applications in quantum technologies and devices. A key challenge impeding this effort is the difficulty associated with probing and characterizing candidate materials…

Superconductivity · Physics 2022-08-23 Jonathan B. Curtis , Nicholas R. Poniatowski , Amir Yacoby , Prineha Narang

We investigate a model where superconducting electrons are coupled to a frequency dependent charge-density wave (CDW) order parameter Delta(w). Our approach can reconcile the simultaneous existence of low energy Bogoljubov quasiparticles…

Superconductivity · Physics 2012-05-22 G. Seibold , M. Grilli , J. Lorenzana

In this work we study the competition or coexistence between charge density wave (CDW) and superconductivity (SC) in a two-band model system in a square lattice. One of the bands has a net attractive interaction ($J_d$) that is responsible…

Strongly Correlated Electrons · Physics 2021-06-02 Nei Lopes , Daniel Reyes , Mucio A. Continentino , Christopher Thomas

This article reviews odd-frequency (odd-w) pairing with focus on superconducting systems. Since Berezinskii introduced the concept of odd frequency order in 1974 it has been viewed as an exotic and rarely occurring in nature. Here, we…

Superconductivity · Physics 2020-01-01 Jacob Linder , Alexander V. Balatsky

We show that twisted interfaces between superconductors can serve as a phase-sensitive platform for the detection and characterization of pair density waves (PDW). In the presence of an in-plane magnetic field, the critical Josephson…

Superconductivity · Physics 2025-12-16 Jefferson Tang , Pavel A. Volkov

Pair spin-orbit interaction can emerge in strongly-interacting systems characterized by a large spin-orbit coupling. Here we study the role of this interaction in stabilizing ordered and unconventional superconducting phases. We find that,…

Superconductivity · Physics 2025-07-30 Feng Liu , Alessandro Principi

The influence of incommensurate spin density waves (SDW) on superconductivity in unconventional superconductors is studied by means of the Bogolubov-de Gennes (BdG) equations. Exploiting translational symmetries of a magnetically ordered…

Superconductivity · Physics 2015-05-30 Andrzej Ptok , Maciej M. Maska , Marcin Mierzejewski

We study two effective models developed for description of superconductors with short-coherence length: (i) the extended Hubbard model with on-site attraction and intersite repulsion, (ii) the model of hard-core charged bosons on a lattice.…

Strongly Correlated Electrons · Physics 2007-05-23 S. Robaszkiewicz , G. Pawlowski

Charge density waves are emergent quantum states that spontaneously reduce crystal symmetry, drive metal-insulator transitions, and precede superconductivity. In low-dimensions, distinct quantum states arise, however, thermal fluctuations…

In the $\textit{A}$V$_{3}$Sb$_{5}$ ($\textit{A}$ $=$ K, Rb, Cs) kagome materials, superconductivity coexists with a charge density wave (CDW), constituting a new platform to study the interplay of these two orders. Despite extensive…

Superconductivity · Physics 2025-05-14 Sofie Castro Holbæk , Mark H. Fischer

Two-dimensional (2D) strongly correlated electron systems underlie many of the most important phenomena in contemporary condensed matter physics, including the Quantum Hall Effect (QHE), ``high T_c'' superconductivity, and possible exotic…

Strongly Correlated Electrons · Physics 2007-05-23 S. Mazumdar , R. T. Clay , D. K. Campbell

Two-dimensional (2D) materials have become a fertile playground for the exploration and manipulation of novel collective electronic states. Recent experiments have unveiled a variety of robust 2D orders in highly-crystalline materials…

The coexistence of multiple quasi-degenerate orders is the hallmark of the strongly correlated materials. Experiments often reveal several spatially modulated orders in the underdoped cuprates. This has come to the forefront with the…

Superconductivity · Physics 2022-04-25 Anurag Banerjee , Catherine Pépin , Amit Ghosal