Quasi-static magnetoelectric quadrupoles as the order parameter for the pseudo-gap phase in cuprate superconductors

Abstract

We introduce a mechanism in which coupling between fluctuating spin magnetic dipole moments and polar optical phonons leads to a non-zero ferroic ordering of quasi-static magnetoelectric multipoles. Using first-principles calculations within the LSDA$+U$ method of density functional theory, we calculate the magnitude of the effect for the prototypical cuprate superconductor, HgBa${}_2$CuO${}_4$. We show that our proposed mechanism is consistent, to our knowledge, with all experimental data for the onset of the pseudo-gap phase and therefore propose the quasi-static magnetoelectric multipole as a possible pseudo-gap order parameter. Finally, we show that our mechanism embraces some key aspects of previous theoretical models, in particular the description of the pseudo-gap phase in terms of orbital currents.

11 pages, 6 figures

References in corpus (11)

• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Three-Dimensional Charge Density Wave Order in YBa2Cu3O6.67 at High Magnetic Fields
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Demonstrating the model nature of the high-temperature superconductor HgBa${}_2$CuO${}_{4+\Delta }$
• Intra-Unit-Cell magnetic correlations near optimal doping in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.85}$
• Absence of time reversal symmetry breaking in La_{2-x}Sr_{x}CuO_{4}
• Spin Dynamics in Cuprates: Optical Conductivity of HgBa2CuO4
• Two Ising-like magnetic excitations in a single-layer cuprate superconductor
• Inhomogeneity effects in oxygen doped HgBa${}_2$CuO${}_4$

Cited by in corpus (26)

• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Group-theoretical classification of multipole order: emergent responses and candidate materials
• Royal Society Inaugural Article Perspective: Multiferroics Beyond Electric-Field Control of Magnetism
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Unusual behavior of cuprates explained by heterogeneous charge localization
• Effects of intense optical phonon pumping on the structure and electronic properties of yttrium barium copper oxide
• a-b anisotropy of the intra-unit-cell magnetic order in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.6}$
• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• Loop currents in quantum matter
• $A$-cation control of magnetoelectric quadrupole order in $A$(TiO)Cu${}_4$(PO${}_4$)${}_4$ ($A$ = Ba, Sr, and Pb)
• Orientation of the intra-unit-cell magnetic moment in the high-Tc superconductor HgBa2CuO${}_{4+\delta }$
• Quantum theory of light-driven coherent lattice dynamics
• Direct observation of anapoles by neutron diffraction
• Loop Currents in Two-leg Ladder Cuprates
• Symmetry-mixed bound-state order: extended degeneracy of $(d+ig)$-superconductivity in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Hidden Magnetic Texture in the Pseudogap Phase of High-Tc $YB{a}_{2}C{u}_3{O}_{6.6}$
• Non-equilibrium dynamics of spin-lattice coupling
• Quasi-Static Internal Magnetic Field Detected in the Pseudogap Phase of Bi${}_{2+x}$Sr${}_{2-x}$CaCu${}_2$O${}_{8+\delta }$ by $\mu$SR
• Neutron scattering by Dirac multipoles
• Hidden magnetic order on a kagome lattice for KV3Sb5
• Muon Spin Relaxation and fluctuating magnetism in the pseudogap phase of YBa${}_2$Cu${}_3$O${}_y$
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Strain tuning and anisotropic spin correlations in iron-based systems
• Field-induced magnetic charge in a cubic Laves compound UAl2
• Evidence for Intra-Unit Cell Magnetism in Superconducting Cuprates: a Technical Assessment