New Method to Calculate the Sign and Relative Strength of Magnetic Interactions in Low-Dimensional Systems on the Basis of Structural Data

Abstract

The connection of strength of magnetic interactions and type ordering the magnetic moments with crystal chemical characteristics in low-dimensional magnets is investigated. The new method to calculate the sign and relative strength of magnetic interactions in low-dimensional systems on the basis of the structural data is proposed. This method allows to estimate magnetic interactions not only inside low-dimensional fragments but also between them, and also to predict the possibility of the occurrence of magnetic phase transitions and anomalies of the magnetic interactions. Moreover, it can be used for search of low-dimensional magnets among the compounds whose crystal structures are known. The possibilities of the method are illustrated in an example of research of magnetic interactions in familiar low-dimensional magnets SrCu2(BO3)2, CaCuGe2O6, CaV4O9, Cu2Te2O5Cl2, Cu2Te2O5Br2, BaCu2Si2O7, BaCu2Ge2O7, BaCuSi2O6, LiCu2O2, and NaCu2O2.

18 pages, 8 figures, 2 tables, published version

References in corpus (15)

• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Magnetic Field-Induced Condensation of Triplons in Han Purple Pigment BaCuSi${}_2$O${}_6$
• Electronic States and Magnetic Propertis of Edge-sharing Cu-O Chains
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• Plaquette Resonating-Valence-Bond Ground State of CaV${}_4$O${}_9$
• Temperature-dependent spin gap and singlet ground state in BaCuSi2O6
• Evidence for an unconventional magnetic instability in the spin-tetrahedra system Cu_2Te_2O_5Br_2
• Spin Gap in Two-Dimensional Heisenberg Model for CaV${}_4$O${}_9$
• Longitudinal magnon in the tetrahedral spin system Cu2Te2O5Br2 near quantum criticality
• Halogen-mediated exchange in the coupled-tetrahedra quantum spin systems Cu2Te2O5X2 (X=Br,Cl)
• Incommensurate magnetic ordering in $C{u}_{2}T{e}_2{O}_5{X}_2$ (X=Cl,Br) studied by neutron diffraction
• Nature of the spin-singlet ground state in CaCuGe2O6
• Magnetic Raman scattering of the ordered tetrahedral spin-1/2 clusters in Cu_2Te_2O_5(Br_(1-x)Cl_x)_2 compounds
• Ground state order and spin-lattice coupling in tetrahedral spin systems Cu2Te2O5X2
• Electronic States and Excitation Spectra of Copper Oxides with Ladder and/or Chain

Cited by in corpus (13)

• Crystal chemistry aspects of the magnetically induced ferroelectricity in TbMn2O5 and BiMn2O5
• Magnetoelectric ordering of BiFeO3 from the perspective of crystal chemistry
• Role of structural factors in formation of chiral magnetic soliton lattice in Cr1/3NbS2
• Antiferromagnetic spin-frustrated layers of corner-sharing Cu4 tetrahedra on the kagome lattice in volcanic minerals Cu5O2(VO4)2(CuCl), NaCu5O2(SeO3)2Cl3, and K2Cu5Cl8(OH)4 2H2O
• Electronic structure of the zigzag spin-chain compound In${}_2$VO${}_5$
• Search of low-dimensional magnetics on the basis of structural data: spin-1/2 antiferromagnetic zigzag chain compounds In2VO5, beta-Sr(VOAsO4)2,(NH4,K)2VOF4 and alpha-ZnV3O8
• Frustrated antiferromagnetic spin chains of edge-sharing tetrahedra in volcanic minerals K3Cu3(Fe0.82Al0.18)O2(SO4)4 and K4Cu4O2(SO4)4MeCl
• Spin-Frustrated Pyrochlore Chains in the Volcanic Mineral Kamchatkite (KCu3OCl(SO4)2)
• Orthorhombic and triclinic modifications of the arsenate Cu4O(AsO4)2 and isotypic phosphates Cu4O(PO4)2: strongly frustrated antiferromagnetics
• The study of nearest- and next-nearest-neighbour magnetic interactions in seven tetragonal compounds V(IV) containing linear chains and square lattices
• Possibility of Emergence of Chiral Magnetic Soliton in Hexagonal Metal Formate [NH4][M(HCOO)3] with M2+ = Mn, Fe, Co, and Ni and KCo(HCOO)3
• Crystal chemistry search of multiferroics with the stereochemically active lone pair
• Structurally induced magnetic transitions in layered dichalcogenides MoQ2 (Q = S, Se, Te) and double hydroxides (M2+)6Al3(OH)18[Na(H2O)6](SO4)2 6H2O (M2+ = Mn2+, Fe2+) under mechanical deformation