Orientation of the intra-unit-cell magnetic moment in the high-Tc superconductor HgBa2CuO${}_{4+\delta }$

Abstract

Polarized-neutron diffraction experiments (PND) have revealed that the pseudogap state of the cuprates exhibits unusual intra-unit-cell (IUC) magnetism. At a qualitative level, the data indicate a moment direction that is neither perpendicular nor parallel to the CuO2 layers, yet an accurate measurement of a structurally simple compound has been lacking. Here we report PND results with unprecedented accuracy for the IUC magnetic order in the simple-tetragonal single-CuO${}_2$-layer compound HgBa2CuO${}_{4+\delta }$. At the transition temperature, we find evidence for magnetic critical scattering. Deep in the ordered state, we determine the moment direction to be 70° $\pm$ 10° away from the normal to the CuO${}_2$ layers, which rules out both purely planar loop currents and high-symmetry Dirac multipoles, the two most prominent theoretical proposals for the microscopic origin of the IUC magnetism. However, the data are consistent with Dirac multipoles of lower symmetry or, alternatively, with a particular configuration of loop currents that flow on the faces of the CuO${}_6$ octahedra.

arXiv commentSupplementary materials included

References in corpus (46)

• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Critical behavior of the three-dimensional XY universality class
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• A Theory of the Pseudogap State of the Cuprates
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Spontaneous time reversal symmetry breaking in the pseudogap state of high-Tc superconductors
• The Electronic Nature of High Temperature Cuprate Superconductors
• Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Bounding the pseudogap with a line of phase transitions in YBCO cuprate superconductors
• Universal quantum oscillations in the underdoped cuprate superconductors
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• Observation of Magnetic Order in a $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.6}$ Superconductor
• Orbital currents in extended Hubbard models of high-T${}_c$ cuprates
• Optical determination of the relation between the electron-boson coupling function and the critical temperature in high T${}_c$ cuprates
• Validity of Kohler's rule in the pseudogap phase of the cuprate superconductors
• Novel magnetic order in pseudogap state of high Tc copper oxides superconductors
• Synchrotron x-ray scattering study of charge-density-wave order in HgBa${}_2$CuO${}_{4+\delta }$
• Optical Birefringence and Dichroism of Cuprate Superconductors in the THz regime
• Commensurate antiferromagnetic excitations as a signature of the pseudogap in the tetragonal high-Tc cuprate HgBa${}_2$CuO${}_{4+\delta }$
• Demonstrating the model nature of the high-temperature superconductor HgBa${}_2$CuO${}_{4+\Delta }$
• Intra-Unit-Cell magnetic correlations near optimal doping in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.85}$
• 2D orbital-like magnetic order in $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{S}{\mathrm{r}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$
• Phase Diagram of a Three Orbital Model for the high-T${}_c$ cuprates
• Single reconstructed Fermi surface pocket in an underdoped single layer cuprate superconductor
• Emergent loop current order from pair density wave superconductivity
• Optical non-reciprocity in magnetic structures related to high-Tc superconductors
• Optical and thermodynamic properties of the high-temperature superconductor HgBa_2CuO_4+delta
• Absence of static orbital current magnetism at the apical oxygen site in HgBa${}_2$CuO${}_{4+\delta }$ from NMR
• Characterization of the Intra-Unit-Cell magnetic order in Bi2Sr2CaCu2O8+d
• Quasi-static magnetoelectric quadrupoles as the order parameter for the pseudo-gap phase in cuprate superconductors
• Quantum-Criticality in Dissipative Quantum Two-Dimensional XY and Ashkin-Teller Models: Application to the Cuprates
• a-b anisotropy of the intra-unit-cell magnetic order in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.6}$
• Hourglass dispersion and resonance of magnetic excitations in the superconducting state of the single-layer cuprate HgBa2CuO4+δ near optimal doping
• Tilted loop currents in cuprate superconductors
• Comment on "No Evidence for Orbital Loop Currents in Charge Ordered $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$ from Polarized Neutron Diffraction"
• Universal Disorder in Bi2Sr2CaCu2O8+x
• Orbital currents, anapoles, and magnetic quadrupoles in CuO
• Observable NMR signal from circulating current order in YBCO
• Insulators and metals with topological order and discrete symmetry breaking
• Theory of Polarized Neutron Scattering in the Loop Ordered Phase of Cuprates
• 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
• Pseudo-spin Skyrmions in the Phase Diagram of Cuprate Superconductors
• Ultraslow fluctuations in the pseudogap states of HgBa${}_2$CaCu${}_2$O${}_{6+d}$
• Neutron scattering by Dirac multipoles

Cited by in corpus (19)

• Control of chiral orbital currents in a colossal magnetoresistance material
• From the pseudogap metal to the Fermi liquid using ancilla qubits
• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• Loop currents in quantum matter
• Bond Directional Anapole Order in a Spin-Orbit Coupled Mott Insulator Sr${}_2$(Ir${}_{1-x}$Rh${}_x$)O${}_4$
• Extent of Fermi-surface reconstruction in the high-temperature superconductor HgBa${}_2$CuO${}_{4+\delta }$
• Deconfined critical point in a doped random quantum Heisenberg magnet
• Loop Currents in Two-leg Ladder Cuprates
• Doping-dependent competition between superconductivity and polycrystalline charge density waves
• Phonon spectrum of underdoped ${\text{HgBa}}_2{\text{CuO}}_{4+\delta }$ investigated by neutron scattering
• Charge-Density Waves vs. Superconductivity: Some Results and Future Perspectives
• Hidden Magnetic Texture in the Pseudogap Phase of High-Tc $YB{a}_{2}C{u}_3{O}_{6.6}$
• Absence of $\mu$SR evidence for magnetic order in the pseudogap phase of Bi${}_{2+x}$Sr${}_{2-x}$CaCu${}_2$O${}_{8+\delta }$
• Incipient loop current order in the under-doped cuprate superconductors
• Universality of the {\bf q}=1/2 Orbital Magnetism in the Pseudogap Phase of the High-$T_c$ superconductor $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$
• Evidence for Intra-Unit Cell Magnetism in Superconducting Cuprates: a Technical Assessment
• Bilocal quantum criticality
• Orbital current signature using neutron diffraction
• Search for $Q\sim 0$ order near a forbidden Bragg position in Bi${}_{2.1}$Sr${}_{1.9}$CaCu${}_2$O${}_{8+x}$ with resonant soft x-ray scattering