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The ability to efficiently control charge and spin in the cuprate high-temperature superconductors is crucial for fundamental research and underpins technological development. Here, we explore the tunability of magnetism, superconductivity…

Superconductivity is usually understood as a phase in which charge-$2e$ Cooper pairs are condensed. Charge-$4e$ superconductivity has largely been discussed as a vestigial order at finite temperature emerging from charge-$2e$ states.…

Strongly Correlated Electrons · Physics 2026-02-19 Zhi-Qiang Gao , Yan-Qi Wang , Ya-Hui Zhang , Hui Yang

25 years after discovery of high-temperature superconductivity (HTSC) in La$_{2-x}$Ba$_x$CuO$_4$ (LBCO), the HTSC continues to pose some of the biggest challenges in materials science. Cuprates are fundamentally different from conventional…

Superconductivity · Physics 2013-03-08 T. Valla

Although all superconducting cuprates display charge-ordering tendencies, their low-temperature properties are distinct, impeding efforts to understand the phenomena within a single conceptual framework. While some systems exhibit stripes…

Electronic charges introduced in copper-oxide planes generate high-transition temperature superconductivity but, under special circumstances, they can also order into filaments called stripes. Whether an underlying tendency of charges to…

Superconductivity · Physics 2011-09-12 T. Wu , H. Mayaffre , S. Kramer , M. Horvatic , C. Berthier , W. N. Hardy , R. Liang , D. A. Bonn , M. -H. Julien

Competition and coexistence of charge orders and superconductivity are hallmarks in many strongly correlated electron systems. Here, we unravel the precise role of charge fluctuations on the superconducting state in the $t$-$t'$-$J$ model…

Strongly Correlated Electrons · Physics 2026-03-24 Aritra Sinha , Hannes Karlsson , Martin Ulaga , Alexander Wietek

Previously we have presented evidence for stripe order of holes and spins in La(1.6-x)Nd(0.4)Sr(x)CuO(4) with x=0.12. Here we show, via neutron diffraction measurements of magnetic scattering, that similar order occurs in crystals with…

Condensed Matter · Physics 2009-10-28 J. M. Tranquada , J. D. Axe , N. Ichikawa , A. R. Moodenbaugh , Y. Nakamura , S. Uchida

Static spin-stripe order and superconductivity were systematically studied in La_2-xBa_xCuO_4 (0.11 - 0.17) at ambient pressure by means of magnetization and muSR experiments. We find that all the investigated La_2-xBa_xCuO_4 samples…

The presence of charge and spin stripe order in the La2CuO4-based family of superconductors continues to lead to new insight on the unusual ground state properties of high Tc cuprates. Soon after the discovery of charge stripe order at…

Superconductivity · Physics 2017-12-29 T. Imai , S. K. Takahashi , A. Arsenault , A. W. Acton , D. Lee , W. He , Y. S. Lee , M. Fujita

Spontaneous symmetry breaking constitutes a paradigmatic classification scheme of matter. However, broken symmetry also entails domain degeneracy that often impedes identification of novel low symmetry states. In quantum matter, this is…

One of the major themes in correlated electron physics over the last quarter century has been the problem of high-temperature superconductivity in hole-doped copper-oxide compounds. Fundamental to this problem is the competition between…

Superconductivity · Physics 2013-08-19 John M. Tranquada

Unconventional superconductivity in the cuprates emerges from, or coexists with, other types of electronic order. However, these orders are sometimes invisible because of their symmetry. For example, the possible existence of superfluid…

Unidirectional ("stripe") charge-density-wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high temperature (HT) superconductors, where it generally competes with superconductivity (SC).…

Strongly Correlated Electrons · Physics 2022-02-16 Hong-Chen Jiang , Steven A. Kivelson

Understanding the electron pairing in hole-doped cuprate superconductors has been a challenge, in particular because the "normal" state from which it evolves is unprecedented. Now, after three and a half decades of research, involving a…

Superconductivity · Physics 2021-06-17 J. M. Tranquada

One type of order that has been observed to compete with superconductivity in cuprates involves alternating charge and antiferromagnetic stripes. Recent neutron scattering studies indicate that the magnetic excitation spectrum of a…

Superconductivity · Physics 2007-05-23 J. M. Tranquada

Many features of charge-4e superconductors remain unknown because even the "mean-field Hamiltonian" describing them is an interacting model. Here we introduce an interacting model to describe a charge-4e superconductor (SC) deep in the…

Superconductivity · Physics 2017-06-14 Yi-Fan Jiang , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

We discuss fluctuating order in a quantum disordered phase proximate to a quantum critical point, with particular emphasis on fluctuating stripe order. Optimal strategies for extracting information concerning such local order from…

Strongly Correlated Electrons · Physics 2009-11-07 S. A. Kivelson , E. Fradkin , V. Oganesyan , I. P. Bindloss , J. M. Tranquada , A. Kapitulnik , C. Howald

The relationships among charge order, spin fluctuations, and superconductivity in underdoped cuprates remain controversial. We use neutron scattering techniques to study these phenomena in La$_{1.93}$Sr$_{0.07}$CuO$_4$, a superconductor…

Superconductivity · Physics 2015-11-25 H. Jacobsen , I. A. Zaliznyak , A. T. Savici , B. L. Winn , S. Chang , M. Huecker , G. D. Gu , J. M. Tranquada

Strongly correlated electron materials are often characterized by competition and interplay of multiple quantum states. For example, in high-temperature cuprate superconductors unconventional superconductivity, spin- and charge-density wave…

The nature of the interplay between superconductivity and magnetism in the cuprates remains one of the fundamental unsolved problems in high temperature superconductivity. Whether and how these two phenomena are interdependent is perhaps…

Superconductivity · Physics 2009-11-13 R. M. Konik , F. H. L. Essler , A. M. Tsvelik