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A major obstacle in understanding the mechanism of Cooper pairing in the cuprates is the existence of various intertwined orders associated with spin, charge, and Cooper pairs. Of particular importance is the ubiquitous charge order…

Superconductivity · Physics 2019-05-08 Wei Ruan , Xintong Li , Cheng Hu , Zhenqi Hao , Haiwei Li , Peng Cai , Xingjiang Zhou , Dung-Hai Lee , Yayu Wang

Many physical properties of high-temperature (high-Tc) superconductors are two-dimensional phenomena derived from their square planar CuO2 building blocks. This is especially true of the magnetism from the copper ions. As mobile charge…

The primordial ingredient of cuprate superconductivity is the CuO2 unit cell. Here, theoretical attention usually concentrates on the intra-atom Coulombic interactions dominating the 3d^9 and 3d^10 configurations of each copper ion.…

We review recent theoretical progress on the charge dynamics of doped carriers in high-temperature cuprate superconductors. Advances in this field have clarified that doped charges in cuprates exhibit remarkably rich collective behavior,…

Strongly Correlated Electrons · Physics 2026-04-22 Hiroyuki Yamase

One of the most puzzling facts about cuprate high-temperature superconductors in the lightly doped regime is the coexistence of uniform superconductivity and/or antiferromagnetism with many low-energy charge-ordered states in a…

Strongly Correlated Electrons · Physics 2019-02-13 Wei-Lin Tu , Ting-Kuo Lee

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

The hole-doped cuprate high temperature superconductors enter the pseudogap regime as their superconducting critical temperature, $T_c$, falls with decreasing hole density. Experiments have probed this regime for over two decades, but we…

Superconductivity · Physics 2014-03-24 Lauren E. Hayward , David G. Hawthorn , Roger G. Melko , Subir Sachdev

The shape of 3$d$-orbitals often governs the electronic and magnetic properties of correlated transition metal oxides. In the superconducting cuprates, the planar confinement of the $d_{x^2-y^2}$ orbital dictates the two-dimensional nature…

We study theoretically competition between the charge ordering and the superconductivity in two-dimensional organic conductor beta-(meso-DMBEDT-TTF)_2PF_6. We analyze the extended Hubbard model on a weakly-dimerized lattice based on the…

Strongly Correlated Electrons · Physics 2015-06-25 K. Yoshimi , M. Nakamura , H. Mori

Copper oxide high temperature superconductors universally exhibit multiple forms of electronically ordered phases that break the native translational symmetry of the CuO2 planes. The interplay between these orders and the superconducting…

Competing charge and spin orders are central to uncovering the nature of unconventional superconductivity. Here we utilize synchrotron X-ray diffraction on a high-quality single crystal to reveal the charge order of La$_3$Ni$_2$O$_7$ at…

Holes doped into the CuO2 planes of cuprate parent compounds frustrate the antiferromagnetic order. The development of spin and charge stripes provides a compromise between the competing magnetic and kinetic energies. Static stripe order…

Superconductivity · Physics 2015-03-19 John M. Tranquada

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

Charge and spin stripe order is a type of electronic crystal observed in certain layered cuprates associated with high-temperature superconductivity. Quantum-disordered stripes could be relevant for understanding the superconductivity. Here…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. Tranquada

The extremely overdoped cuprates are generally considered to be Fermi liquid metals without exotic orders, whereas the underdoped cuprates harbor intertwined states. Contrary to this conventional wisdom, using Cu $L_3$ edge and O $K$ edge…

Chiral materials exhibit a spin filtering effect, so-called chirality-induced spin selectivity (CISS). A recent observation of spin accumulation at the ends of a chiral-structured superconductor has opened up a new pathway for studying the…

Superconductivity · Physics 2025-03-12 Keito Hara , Youichi Yanase

Electron-doped and hole-doped superconducting cuprates exhibit a symmetric phase diagram as a function of doping. This symmetry is however only approximate. Indeed, electron-doped cuprates become superconductors only after a specific…

The processes of Coulomb gas ordering in 3D layered system are studied by means of Brownian dynamics approach. It is found that at different densities of the carriers the 3D lattice of charges as well as new specific structures are possible…

Strongly Correlated Electrons · Physics 2007-05-23 Yu. G. Pashkevich , A. E. Filippov

It is long established that overdoped cuprate superconductors experience a loss of superfluid density (SFD) with increasing doping, p, along with the decline in T_c. Such behavior is unconventional and suggests a depletion of the condensate…

Superconductivity · Physics 2025-12-19 J. L. Tallon , J. G. Storey , J. W. Loram , Jianlin Luo , C. Bernhard , I. Kokanovic , J. R. Cooper

The high-temperature superconducting cuprates are governed by intertwined striped magnetic and charge orders in addition to superconductivity. Remarkably similar behavior has also been seen in numerical calculations for the Hubbard model…

Strongly Correlated Electrons · Physics 2022-02-25 Peizhi Mai , Seher Karakuzu , Giovanni Balduzzi , Steven Johnston , Thomas A. Maier