Magnetic Dipole Interactions in Crystals

Abstract

The influence of magnetic dipole interactions (MDIs) on the magnetic properties of local-moment spin systems is investigated. The eigenvalues and eigenvectors of the MDI tensor are determined for a wide variety of spin lattices and magnetic wavevectors in the magnetically ordered state with collinear moment alignments. The predicted easy axes in the ordered state are compared with experimental results for antiferromagnetic (AFM) compounds. The theory is generalized to include noncollinear AFM structures and compared with experiments. Many properties caused or influenced by MDIs in the ordered and paramagnetic states are calculated within Weiss molecular field theory.

51 pages, 30 figures, 19 tables and 64 references, including attached Supplementary Information; v2: published version

References in corpus (7)

• Unified Molecular Field Theory for Collinear and Noncollinear Heisenberg Antiferromagnets
• Long-range ferromagnetic dipolar ordering of high-spin molecular clusters
• Antiferromagnetism in EuCu2As2 and EuCu1.82Sb2 Single Crystals
• Classical dipoles on the kagome lattice
• Magnetic dipolar ordering and relaxation in the high-spin molecular cluster compound Mn6
• Helical Antiferromagnetic Ordering in Lu{1-x}Sc{x}MnSi (x = 0, 0.25, 0.50)
• Nature of Partial Magnetic Order in the Frustrated Antiferromagnet Gd2Ti2O7

Cited by in corpus (41)

• Magnetic field-induced quantum phase transitions in a van der Waals magnet
• EuCo2P2: A Model Molecular-Field Helical Heisenberg Antiferromagnet
• Magnetic Structure and Magnetization of Helical Antiferromagnets in High Magnetic Fields Perpendicular to the Helix Axis at Zero Temperature
• Dipolar Magnetic Interactions and A-type Antiferromagnetic Order in the Zintl Phase Insulator EuZn2P2
• Antiferromagnetism in trigonal SrMn2As2 and CaMn2As2 single crystals
• Influence of uniaxial single-ion anisotropy on the magnetic and thermal properties of Heisenberg antiferromagnets within unified molecular field theory
• Enhanced moments of Eu in single crystals of the metallic helical antiferromagnet EuCo{2-y}As2
• A-type antiferromagnetic order and magnetic phase diagram of the trigonal Eu spin-7/2 triangular-lattice compound EuSn2As2
• A-type antiferromagnetic order in semiconducting EuMg${}_2$Sb${}_2$ single crystals
• Metallic behavior induced by potassium doping of the trigonal antiferromagnetic insulator EuMn2As2
• Chirality-Induced Magnetization of Magnetite by an RNA Precursor
• NMR Determination of an Incommensurate Helical Antiferromagnetic Structure in EuCo2As2
• Electrodynamics of quantum spin liquids
• Helical Antiferromagnetic Ordering in EuNi{1.95}As2
• Magnetic phase transitions in Eu(Co,Ni)2As2 single crystals
• Magnon spectrum of the Weyl semimetal half-Heusler compound GdPtBi
• Anomalous Composition-Induced Crossover in the Magnetic Properties of the Itinerant-Electron Antiferromagnet Ca{1-x}Sr{x}Co{2-y}As{2}
• Oscillating magnetoresistance due to fragile spin structure in metallic GdPd${}_3$
• Magnetic ordering and spin dynamics in $S=5/2$ staggered triangular lattice antiferromagnet Ba${}_2$MnTeO${}_6$
• 2D-XY ferromagnetism with high transition temperature in Janus monolayer V${}_2$XN (X = P, As)
• NMR studies of the incommensurate helical antiferromagnet EuCo2P2 : determination of the antiferromagnetic propagation vector
• Magnetic structure and magnetization of z-axis helical Heisenberg antiferromagnets with XY anisotropy in high magnetic fields transverse to the helix axis at zero temperature
• Magnetic-field-induced ab-plane rotation of the Eu magnetic moments in trigonal EuMg2Bi2 and EuMg2Sb2 single crystals below their Neel temperatures
• Magnetic State Selected by Magnetic Dipole Interaction in Kagome Antiferromagnet NaBa${}_2$Mn${}_3$F${}_{11}$
• Magnon dispersion in bilayers of two-dimensional ferromagnets
• Magnetic surface reconstruction in the van-der-Waals antiferromagnet Fe${}_{1+x}$Te
• Unusual magnetic and transport properties in the Zintl phase Eu${}_{11}$Zn${}_6$As${}_{12}$
• Low-field magnetic anomalies in single crystals of the A-type square-lattice antiferromagnet EuGa${}_4$
• Domain boundaries in Luttinger-Tisza ordered dipole lattices
• Nematic order in a simple-cubic lattice-spin model with full-ranged dipolar interactions
• Influence of classical anisotropy fields on the properties of Heisenberg antiferromagnets within unified molecular field theory
• Order in the ground state of a simple cubic dipole lattice in an external field
• Continuous degeneracy of the fcc kagome lattice with magnetic dipolar interactions
• Molecular-field-theory fits to magnetic susceptibilities of antiferromagnetic GdCu2Si2, CuO, LiCrO2, and alpha-CaCr2O4 single crystals below their Neel temperatures
• Spin and lattice dynamics of a van der Waals antiferromagnet MnPSe${}_3$
• Itinerant G-type antiferromagnet SrCr2As2 studied by magnetization, heat capacity, electrical resistivity, and NMR measurements
• Interplay of magnetic ordering and charge transport in a distorted ScAl${}_3$C${}_3$-type GdZn${}_3$As${}_3$
• Anisotropic exchange in GdGa
• Suppression of antiferromagnetic order and strong ferromagnetic spin fluctuations in Ni-doped CaCo2As2 single crystals
• Design, synthesis, and physical properties of the intergrowth compound Eu${}_2$CuZn${}_2$As${}_3$
• EPR measurements of Eu{+2} spins in metallic EuCo{2-y}As2 single crystals