Frustration and Dzyaloshinsky-Moriya anisotropy in the kagome francisites Cu${}_3$Bi(SeO${}_3{)}_2$O${}_2$X

Abstract

We investigate the antiferromagnetic canting instability of the spin-1/2 kagome ferromagnet, as realized in the layered cuprates Cu${}_3$Bi(SeO${}_3{)}_2$O${}_2$X (X=Br, Cl, and I). While the local canting can be explained in terms of competing exchange interactions, the direction of the ferrimagnetic order parameter fluctuates strongly even at short distances on account of frustration which gives rise to an infinite ground state degeneracy at the classical level. In analogy with the kagome antiferromagnet, the accidental degeneracy is fully lifted only by non-linear 1/S corrections, rendering the selected uniform canted phase very fragile even for spins-1/2, as shown explicitly by coupled-cluster calculations. To account for the observed ordering, we show that the minimal description of these systems must include the microscopic Dzyaloshinsky-Moriya interactions, which we obtain from density-functional band-structure calculations. The model explains all qualitative properties of the kagome francisites, including the detailed nature of the ground state and the anisotropic response under a magnetic field. The predicted magnon excitation spectrum and quantitative features of the magnetization process call for further experimental investigations of these compounds.

arXiv comment21 pages, 6 figures

References in corpus (34)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Predicting the Spin-Lattice Order of Frustrated Systems from First-Principles
• Spin-1/2 Kagome Like Lattice in Volborthite Cu3V2O7(OH)2-H2O
• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• Tight-binding models for the new iron based superconductor materials
• Frustrated antiferromagnets with entanglement renormalization: ground state of the spin-1/2 Heisenberg model on a kagome lattice
• Gapless spin liquid ground state in the S=1/2 vanadium oxyfluoride kagome antiferromagnet [NH4]2[C7H14N][V7O6F18]
• Scale-free antiferromagnetic fluctuations in the S=1/2 kagome antiferromagnet herbertsmithite
• Quantum $J_1$--$J_2$ antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
• Discrete Sliding Symmetries, Dualities, and Self-dualities of Quantum Orbital Compass Models and (p+ip) Superconducting Arrays
• The Heisenberg antiferromagnet on the kagome lattice with arbitrary spin: A high-order coupled cluster treatment
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Coupled Cluster Treatment of the Shastry-Sutherland Antiferromagnet
• High-Order Coupled Cluster Method Study of Frustrated and Unfrustrated Quantum Magnets in External Magnetic Fields
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality
• Infrared phonon anomaly and magnetic excitations in single-crystal Cu${}_3$Bi(SeO${}_3$)${}_2$O${}_2$Cl
• Magnetic ground state and 2D behavior in pseudo-Kagome layered system Cu3Bi(SeO3)2O2Br
• The spin gap in malachite Cu2(OH)2CO3 and its evolution under pressure
• Frustrated magnetism and resonating valence bond physics in two-dimensional kagome-like magnets
• Quantum magnetism on the Cairo pentagonal lattice
• Influence of an inter-chain coupling on spiral ground-state correlations in frustrated spin-1/2 J1-J2 Heisenberg chains
• Hindered magnetic order from mixed dimensionalities in CuP${}_2$O${}_6$
• Spin-wave series for quantum one-dimensional ferrimagnets
• Collapse of Ferrimagnetism in Two-Dimensional Heisenberg Antiferromagnet due to Frustration
• Magnetic phases of the mixed-spin $J_1-J_2$ Heisenberg model on a square lattice
• Magnetization and spin dynamics of the spin S=1/2 hourglass nanomagnet Cu5(OH)2(NIPA)4*10H2O
• Decorated Shastry-Sutherland lattice in the spin-1/2 magnet CdCu2(BO3)2
• Intermediate Symmetries In Electronic Systems: Dimensional Reduction, Order Out Of Disorder, Dualities, And Fractionalization
• Nearly compensated exchange in the dimer compound callaghanite Cu${}_2$Mg${}_2$(CO${}_3$)(OH)${}_6$$\cdot$2H${}_2$O
• THz spectroscopy in the pseudo-Kagome system Cu3Bi(SeO3)2O2Br

Cited by in corpus (20)

• Phase Diagram and Quantum Order by Disorder in the Kitaev $K_1$-$K_2$ Honeycomb Magnet
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Quantum Magnetism in Minerals
• Magnetic behavior of volborthite Cu3V2O7(OH)2(H2O)2 determined by coupled trimers rather than frustrated chains
• Order and excitations in large-$S$ kagomé-lattice antiferromagnets
• Quantum spin liquid in the semiclassical regime
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Magnetic and dielectric order in the kagome-like francisite Cu${}_3$Bi(SeO${}_3$)${}_2$O${}_2$Cl
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Antiferroelectric instability in kagome francisites Cu${}_3$Bi(SeO${}_3$)${}_2$O${}_2$X (X = Cl, Br)
• Archetypal soft-mode driven antipolar transition in francisite Cu3Bi(SeO3)2O2Cl
• First-principles study of the magnetic ground state in kagome francisites Cu3Bi(SeO3)2O2X (X=Cl, Br)
• Magnetism of coupled spin tetrahedra in ilinskite-type KCu${}_5$O${}_2$(SeO${}_3$)${}_2$Cl${}_3$
• Longitudinal magnon, inversion breaking and magnetic instabilities in the pseudo-Kagome francisites Cu3Bi(SeO3)2O2X with X=Br, Cl
• Strong quantum effects in an almost classical antiferromagnet on a kagome lattice
• Collinear order and chirality-reorientation transition in the Cairo pentagonal magnet Bi${}_4$Fe${}_5$O${}_{13}$F
• Copper Tellurium Oxides - A Playground for Magnetism
• Ternary borides Nb${}_7$Fe${}_3$B${}_8$ and Ta${}_7$Fe${}_3$B${}_8$ with Kagome-type iron framework
• Linear magnetoelastic coupling and magnetic phase diagrams of the buckled-kagomé antiferromagnet Cu${}_3$Bi(SeO${}_3$)${}_2$O${}_2$Cl
• Frustration relief and reorientation transition in the kagome-like dolerophanite Cu${}_2$OSO${}_4$