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In the cuprate superconductors, superconductivity often co-exists with other types of order, including charge density wave and nematic orders. Over the past decade, resonant x-ray scattering has emerged as a key tool to investigate these…

Strongly Correlated Electrons · Physics 2023-09-21 David G Hawthorn

It is now well established that superconducting cuprates support a charge density wave state in the so-called underdoped region of their phase diagram. We investigate the possibility of charge order in the square-lattice Hubbard model, both…

Strongly Correlated Electrons · Physics 2017-03-22 J. P. L. Faye , D. Sénéchal

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…

Strongly Correlated Electrons · Physics 2009-02-06 D. F. Agterberg , H. Tsunetsugu

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

When the Mott insulating state is suppressed by charge carrier doping, the pseudogap phenomenon emerges, where at the low-temperature limit, superconductivity coexists with some ordered electronic states. Within the framework of the…

Superconductivity · Physics 2019-09-27 Shiping Feng , Deheng Gao , Yiqun Liu , Yingping Mou , Shuning Tan

The discovery of multiple charge-density-wave (CDW) orders in superconducting cuprates and Kagome CsV3Sb5 has offered a unique milieu for studying the interplay of CDW and superconductivity and altered our perspective on their nature. Here,…

Superconductivity · Physics 2023-10-06 Shuyang Wang , Qing Wang , Chao An , Yonghui Zhou , Ying Zhou , Xuliang Chen , Ning Hao , Zhaorong Yang

The occurrence of charge-density-wave (CDW) order in underdoped cuprates is now well established, although the precise nature of the CDW and its relationship with superconductivity is not. Theoretical proposals include contrasting ideas…

We present a detailed description of two-band quasi-2D metals with s-wave superconducting (SC) and antiferromagnetic spin-density wave (SDW) correlations. We present a general approach and use it to investigate the influence of the…

Superconductivity · Physics 2010-06-04 A. B. Vorontsov , M. G. Vavilov , A. V. Chubukov

Superconductivity in layered cuprates is induced by doping holes into a parent antiferromagnetic insulator. It is now recognized that another common emergent order involves charge stripes, and our understanding of the relationship between…

Superconductivity · Physics 2021-09-22 J. M. Tranquada , M. P. M. Dean , Qiang Li

We investigate the vortex structure assuming the d-density wave scenario of the pseudogap. We discuss the profiles of the order parameters in the vicinity of the vortex, effective vortex charge and the local density of states. We find a…

Superconductivity · Physics 2009-11-10 Maciej M. Maska , Marcin Mierzejewski

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 explore the interplay of a charge density wave (CDW) order and s-wave superconductivity (sSC) in a disordered system. Recent experiments on 1T-TiSe_2, where the pristine sample has a commensurate CDW order and the superconductivity…

Superconductivity · Physics 2018-10-03 Anurag Banerjee , Arti Garg , Amit Ghosal

The issue of whether $d$-wave superconductivity (SC) occurs in the square-lattice Hubbard model with $U$ of order of the bandwidth has been one of the most debated issues to emerge from the study of high temperature SC. Here, we report…

Strongly Correlated Electrons · Physics 2025-11-25 Hong-Chen Jiang , Thomas P. Devereaux , Steven A. Kivelson

We theoretically investigate the vortex state of the cuprate high-temperature superconductors in the presence of magnetic fields. Assuming the recently derived nonlinear $\sigma$-model for fluctuations in the pseudogap phase, we find that…

Superconductivity · Physics 2014-08-29 M. Einenkel , H. Meier , C. Pépin , K. B. Efetov

Superconductivity and polar charge fluctuation are studied in an organic conductor with the dimer-molecule degree of freedom. The extended Hubbard models, where the intra-dimer electronic structure and the inter-dimer Coulomb interactions…

Strongly Correlated Electrons · Physics 2013-03-01 Akihiko Sekine , Joji Nasu , Sumio Ishihara

We show that a variety of spectral features in high-T_c cuprates can be understood from the coupling of charge carriers to some kind of dynamical order which we exemplify in terms of fluctuating charge and spin density waves. Two…

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

Following the early discovery of stripe-like order in La-based copper-oxide superconductors, charge ordering instabilities were observed in all cuprate families. However, it has proven difficult to distinguish between uni- (stripes) and…

We use the weak coupling renormalization group method to examine the interplay between charge-density-wave and s-wave superconducting orders in a quasi-one-dimensional model of electrons interacting with acoustic phonons. The relative…

Superconductivity · Physics 2010-06-02 H. Bakrim , C. Bourbonnais

An indispensable ingredient for pair density wave (PDW) superconductivity is the presence of an attractive pairing interaction at finite momentum. Here, we show how this condition can be met with straightforward electron-density…

Superconductivity · Physics 2024-10-16 Nicole Sabina Ticea , Srinivas Raghu , Yi-Ming Wu

In a simple model we investigate three competing orders: d-wave superconductivity, spin and orbital antiferromagnetism (AF) in the vicinity of a single vortex in a cuprate superconductor. We find that when the potential for the orbital AF…

Superconductivity · Physics 2009-11-10 Jin An , Chang-De Gong