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It is now widely accepted that the cuprate superconductors are characterized by the same long-range order as that present in the Bardeen-Cooper-Schrieffer (BCS) theory: that associated with the condensation of Cooper pairs. We argue that…

Superconductivity · Physics 2009-09-29 Subir Sachdev

We present a microscopic theory of resonant soft x-ray scattering (RSXS) that accounts for the delocalized character of valence electrons. Unlike past approaches defined in terms of form factors for atoms or clusters, we develop a…

Strongly Correlated Electrons · Physics 2013-04-08 David Benjamin , Dmitry Abanin , Peter Abbamonte , Eugene Demler

Resonant inelastic x-ray scattering (RIXS) has become an important tool for studying elementary excitations in correlated materials. Here, we present a systematic theoretical investigation of the Cu L-edge RIXS spectra of undoped and doped…

Strongly Correlated Electrons · Physics 2019-05-22 Umesh Kumar , Alberto Nocera , Elbio Dagotto , Steven Johnston

We present an explanation for the puzzling spectral and transport properties of layered cobaltates close to the band-insulator limit, which relies on the key effect of charge ordering. Blocking a significant fraction of the lattice sites…

Strongly Correlated Electrons · Physics 2011-12-09 Oleg E. Peil , Antoine Georges , Frank Lechermann

The study of the interaction between superconductivity and charge ordering is helpful to resolve the pairing mechanism in high-temperature superconductors. Recently, several resistance oscillations studies trigger the speculation that a…

Superconductivity · Physics 2025-04-29 Changshuai Lan , Chuanwen Zhao , Xin Yi , Qiao Chen , Xinming Zhao , Dong Wu , Chengyu Yan , Shun Wang

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

Multiple functional ionic and electronic orders are observed in high temperature superconducting cuprates. The charge density wave order is one of them and it is spatially localized in spatial regions of the material. It is also known that…

Superconductivity · Physics 2017-02-09 Nicola Poccia , Alessandro Ricci , Gaetano Campi , Antonio Bianconi

The many body electron-electron interaction in cuprates causes the broadening of the electronic bands in \textit{\textbf{k}}-space, leading to a deviation from the standard Fermi liquid. While a \textit{\textbf{k}}-dependent anisotropic…

Theoretical ideas and experimental results concerning high temperature superconductors are reviewed. Special emphasis is given to calculations carried out with the help of computers applied to models of strongly correlated electrons…

Condensed Matter · Physics 2009-10-22 Elbio Dagotto

Charge order is a commonly observed phenomenon in strongly correlated materials. However, most theories are based on a repulsive inter-site Coulomb interaction in order to explain charge order. We here show that only due to local…

Strongly Correlated Electrons · Physics 2013-04-29 Robert Peters , Shintaro Hoshino , Norio Kawakami , Junya Otsuki , Yoshio Kuramoto

The coupling of spin, charge and lattice degrees of freedom results in the emergence of novel states of matter across many classes of strongly correlated electron materials. A model example is unconventional superconductivity, which is…

Recent transport experiments in the original cuprate high temperature superconductor, {La$_{2-x}$Ba$_x$CuO$_4$}, have revealed a remarkable sequence of transitions and crossovers which give rise to a form of dynamical dimensional reduction,…

Superconductivity · Physics 2009-11-04 Erez Berg , Eduardo Fradkin , Steven A. Kivelson , John Tranquada

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

The unconventional normal-state properties of the cuprates are often discussed in terms of emergent electronic order that onsets below a putative critical doping of xc = 0.19. Charge-density wave (CDW) correlations represent one such order;…

Neutron scattering experiments continue to improve our knowledge of spin fluctuations in layered cuprates, excitations that are symptomatic of the electronic correlations underlying high-temperature superconductivity. Time-of-flight…

Some of the most exotic material properties derive from electronic states with short correlation length (~10-500 {\AA}), suggesting that the local structural symmetry may play a relevant role in their behavior. Here we discuss the combined…

Materials Science · Physics 2017-04-05 Gilberto Fabbris , Markus Hücker , Genda Gu , John M. Tranquada , Daniel Haskel

The experimentally measured phase diagram of cuprate superconductors in the temperature-applied magnetic field plane illuminates key issues in understanding the physics of these materials. At low temperature, the superconducting state gives…

Superconductivity · Physics 2018-06-11 Debmalya Chakraborty , Corentin Morice , Catherine Pépin

High resolution resonant inelastic x-ray scattering (RIXS) has proven particularly effective in the determination of crystal field and spin excitations in cuprates. Its strength lies in the large Cu $L_{3}$ resonance and in the fact that…

Charge order is now accepted as an integral constituent of cuprate high-temperature superconductors, one that is intimately related to other instabilities in the phase diagram including antiferromagnetism and superconductivity. Unlike…

Studies on the interplay between the charge order and the $d$-wave superconductivity in the copper-oxide high $T_{\rm c}$ superconductors are reviewed with a special emphasis on the exploration based on the unconventional concept of the…

Strongly Correlated Electrons · Physics 2021-08-26 Masatoshi Imada