Fractional impurity moments in two-dimensional non-collinear magnets

Abstract

We study dilute magnetic impurities and vacancies in two-dimensional frustrated magnets with non-collinear order. Taking the triangular-lattice Heisenberg model as an example, we use quasiclassical methods to determine the impurity contributions to the magnetization and susceptibility. Most importantly, each impurity moment is not quantized, but receives non-universal screening corrections due to local relief of frustration. At finite temperatures, where bulk long-range order is absent, this implies an impurity-induced magnetic response of Curie form, with a prefactor corresponding to a fractional moment per impurity. We also discuss the behavior in an applied magnetic field, where we find a singular linear-response limit for overcompensated impurities, and propose experiments to test our theory.

4 pages, 4 figs

References in corpus (6)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Supplementary material for "Impurity-induced magnetic order in low dimensional spin gapped materials"
• Quantum impurity in an antiferromagnet: non-linear sigma model theory
• Quantum-criticality and percolation in dimer-diluted 2D antiferromagnets
• Universal alternating order around impurities in antiferromagnets

Cited by in corpus (30)

• Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
• Deformed triangular lattice antiferromagnets in a magnetic field: role of spatial anisotropy and Dzyaloshinskii-Moriya interactions
• Triangular antiferromagnet with nonmagnetic impurities
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Order Induced by Dilution in Pyrochlore XY Antiferromagnets
• Destruction of long-range order in non-collinear two-dimensional antiferromagnets by random-bond disorder
• Singular field response and singular screening of vacancies in antiferromagnets
• Holes and magnetic polarons in a triangular lattice antiferromagnet
• Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$1/2$ antiferromagnet NaVOPO${}_4$
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Highly Dispersive Scattering From Defects In Non-Collinear Magnets
• Spiral magnets with Dzyaloshinskii-Moriya interaction containing defect bonds
• Anticollinear magnetic order induced by impurities in the frustrated Heisenberg model of pnictides
• Diluting a triangular-lattice spin liquid: Synthesis and characterization of NaYb${}_{1-x}$Lu${}_x$S${}_2$ single crystals
• Spin texture induced by non-magnetic doping and spin dynamics in 2D triangular lattice antiferromagnet h-Y(Mn,Al)O3
• Collective impurity effects in the Heisenberg triangular antiferromagnet
• Magnetic structure of the frustrated S=1/2 chain magnet LiCu2O2 doped with nonmagnetic Zn
• Magnetic correlations in triangular antiferromagnet FeGa${}_2$S${}_4$
• Effect of vacancy defects on geometrically frustrated magnets
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Roller-Coaster in a Flatland: Magnetoresistivity in Eu-intercalated Graphite
• Disorder effects in spiral spin liquids: Long-range spin textures, Friedel-like oscillations, and spiral spin glasses
• Local spin-flip transitions induced by magnetic quantum impurities in two-dimensional magnets
• Magnetic Vortex induced by Nonmagnetic Impurity in Ferromagnets: Magnetic Multipole and Toroidal around the Vacancy
• Random-bond disorder in two-dimensional non-collinear XY antiferromagnets: From quasi-long-range order to spin glass
• Antiferromagnets with random vacancies and substitutional spins on the triangular lattice
• Quasispins of vacancy defects in Ising chains with nearest- and next-to-nearest-neighbour interactions
• Quasispins of vacancy defects and their interactions in disordered antiferromagnets
• Defect-induced spin textures in magnetic solids