Magnetodielectric detection of magnetic quadrupole order in Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$ with Cu${}_4$O${}_{12}$ square cupolas

Abstract

In vortex-like spin arrangements, multiple spins can combine into emergent multipole moments. Such multipole moments have broken space-inversion and time-reversal symmetries, and can therefore exhibit linear magnetoelectric (ME) activity. Three types of such multipole moments are known: toroidal, monopole, and quadrupole moments. So far, however, the ME-activity of these multipole moments has only been established experimentally for the toroidal moment. Here, we propose a magnetic square cupola cluster, in which four corner-sharing square-coordinated metal-ligand fragments form a noncoplanar buckled structure, as a promising structural unit that carries an ME-active multipole moment. We substantiate this idea by observing clear magnetodielectric signals associated with an antiferroic ME-active magnetic quadrupole order in the real material Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$. The present result serves as a useful guide for exploring and designing new ME-active materials based on vortex-like spin arrangements.

arXiv comment4 figures

References in corpus (9)

• Spin current and magneto-electric effect in non-collinear magnets
• Ferroelectricity in spiral magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Linear spin wave theory for single-Q incommensurate magnetic structures
• Magnetoelectric MnPS3 thiophosphate as a new candidate for ferrotoroidicity
• The macroscopic monopolization in diagonal magnetoelectrics
• Superexchange-Driven Magnetoelectricity in Magnetic Vortices
• Theoretical investigation of magnetoelectric effects in Ba2CoGe2O7
• Ab-initio prediction of magnetoelectricity in infinite-layer CaFeO2 and MgFeO2

Cited by in corpus (22)

• Electric Toroidal Quadrupoles in Spin-Orbit Coupled Metal Cd${}_2$Re${}_2$O${}_7$
• Unified description of electronic orderings and cross correlations by complete multipole representation
• Theory of orbital magnetic quadrupole moment and magnetoelectric susceptibility
• Theory of spin magnetic quadrupole moment and temperature-gradient-induced magnetization
• Symmetry Analysis of Spin-Dependent Electric Dipole and Its Application to Magnetoelectric Effects
• $A$-cation control of magnetoelectric quadrupole order in $A$(TiO)Cu${}_4$(PO${}_4$)${}_4$ ($A$ = Ba, Sr, and Pb)
• Frustration of square cupola in Sr(TiO)Cu${}_4$(PO${}_4$)${}_4$
• Magnetoelectric Behavior from $S=1/2$ Asymmetric Square Cupolas
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Magnetoelectric behavior from cluster multipoles in square cupolas: Study of Sr(TiO)Cu${}_4$(PO${}_4$)${}_4$ in comparison with Ba and Pb isostructurals
• Magnetic structure of Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$ probed using spherical neutron polarimetry
• Magnetic Structural Unit with Convex Geometry: a Building Block Hosting an Exchange-striction-driven Magnetoelectric Coupling
• Higher-order topological insulators in a crisscross antiferromagnetic model
• Magnetic structure in square cupola compound Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$: a ${}^{31}$P NMR Study
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Spin-1/2 $XXZ$ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect
• Optical Hall response in spin-orbit coupled metals: Comparative study of magnetic cluster monopole, quadrupole, and toroidal orders
• The spin-1/2 coupled tetramer system Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$ probed by magnetization, specific heat, and ${}^{31}$P-NMR
• High-field phase diagram of the chiral-lattice antiferromagnet Sr(TiO)Cu4(PO4)4
• Microscopic Magnetism of A(TiO)Cu4(PO4)4 (A = Ba, Pb, Sr): 31P and 63,65Cu NMR Study
• Spin dynamics in the square-lattice cupola system Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$
• Transition from Antiferromagnetic to Quadrupole Order in a Modified Square Artificial Spin Ice