Incommensurate magnetic order: A fingerprint for electronic correlations in hole-doped cuprates

Abstract

Intertwined charge and magnetic fluctuations in high-$T_{\text{c}}$ copper oxide superconductors (cuprates) are hypothesized to be a consequence of their correlated electronic nature. Among other observables, this is apparent in the doping dependence of incommensurate magnetic order, known as the Yamada relation (YR). We analyze the Hubbard model to challenge the universality of YR as a function of interaction strength $U$ through Kotliar-Ruckenstein slave-boson (SB) mean-field theory and truncated unity functional renormalization group (TUFRG). While TUFRG tends to lock in to a doping dependence of the incommensurate magnetic ordering vector obtained for the perturbative weak-coupling limit, SB not only exhibits an enhanced sensitivity upon a variation of $U$ from weak to strong coupling, but also shows good agreement with experimental data. It supports the placement of weakly hole-doped cuprates in the intermediate-to-strong coupling regime.

References in corpus (8)

• Charge density wave fluctuations in La2-xSrxCuO4 and their competition with superconductivity
• Intermediate Coupling Model of the Cuprates
• Interplay between incommensurate phases in the cuprates
• Generic character of charge and spin density waves in superconducting cuprates
• Reference results for the momentum space functional renormalization group
• A Dynamical Quantum Cluster Approach to Two-Particle Correlation Functions in the Hubbard Model
• Spin and charge modulations of a half-filled extended Hubbard model
• Interplay of spin and charge order in the electron-doped cuprates