Uniform and staggered magnetizations induced by Dzyaloshinskii-Moriya interactions in isolated and coupled spin 1/2 dimers in a magnetic field

Abstract

We investigate the interplay of Dzyaloshinskii-Moriya interactions and an external field in spin 1/2 dimers. For isolated dimers and at low field, we derive simple expressions for the staggered and uniform magnetizations which show that the orientation of the uniform magnetization can deviate significantly from that of the external field. In fact, in the limit where the $\mathbf{D}$ vector of the Dzyaloshinskii-Moriya interaction is parallel to the external field, the uniform magnetization actually becomes {\it perpendicular} to the field. For larger fields, we show that the staggered magnetization of an isolated dimer has a maximum close to one-half the polarization, with a large maximal value of $0.35g{\mu }_B$ in the limit of very small Dzyaloshinskii-Moriya interaction. We investigate the effect of inter-dimer coupling in the context of ladders with Density Matrix Renormalization Group (DMRG) calculations and show that, as long as the values of the Dzyaloshinskii-Moriya and of the exchange interaction are compatible with respect to the development of a staggered magnetization, the simple picture that emerges for isolated dimers is also valid for weakly coupled dimers with minor modifications. The results are compared with torque measurements on Cu${}_2$(C${}_5$H${}_{12}$N${}_2$)${}_2$Cl${}_4$.

arXiv comment8 pages, 9 figures

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Cited by in corpus (33)

• Bose-Einstein Condensation in Magnetic Insulators
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• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Bridging frustrated-spin-chain and spin-ladder physics: quasi-one-dimensional magnetism of BiCu2PO6
• Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
• The spin gap in malachite Cu2(OH)2CO3 and its evolution under pressure
• Anisotropy of Magnetic Interactions in the Spin-Ladder Compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Field-induced quantum soliton lattice in a frustrated two-leg spin-1/2 ladder
• NMR evidence for a strong modulation of the Bose-Einstein Condensate in BaCuSi${}_2$O${}_6$
• Quantum kagome antiferromagnet: ZnCu3(OH)6Cl2
• Incommensurate dynamic correlations in the quasi-two-dimensional spin liquid BiCu2PO6
• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Non-equilibrium transport through quantum dots with Dzyaloshinsky--Moriya--Kondo interaction
• Topological quantum paramagnet in a quantum spin ladder
• Ising phases of Heisenberg ladders in a magnetic field
• Field-induced bound-state condensation and spin-nematic phase in SrCu${}_2$(BO${}_3$)${}_2$ revealed by neutron scattering up to 25.9 T
• Bose - Einstein condensation of triplons with a weakly broken U(1) symmetry
• Dzyaloshinskii-Moriya interaction in transport through single molecule transistors
• Breathers and Raman scattering in a two-leg ladder with staggered Dzialoshinskii-Moriya interaction
• Impact of strong disorder on the static magnetic properties of the spin-chain compound BaCu2SiGeO7
• Spin-Peierls instabilities of antiferromagnetic rings in a magnetic field
• Low-energy properties of anisotropic two-dimensional spin-1/2 Heisenberg models in staggered magnetic fields
• Static impurities in the S=3/2 kagome lattice
• Magnetic anisotropy of spin tetramer system SeCuO${}_3$ studied by torque magnetometry and ESR spectroscopy
• Two Coupled Chains are Simpler than One: Field-induced Chirality in a Frustrated Quantum Spin Ladder
• Torque anomalies at magnetization plateaux in quantum magnets with Dzyaloshinskii-Moriya interactions
• Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field
• Spin entanglement via STM current
• General structure factor and dynamic effects of the Dzyaloshinskii-Moriya interaction in S = 1/2 clusters
• Spin dynamics in the square-lattice cupola system Ba(TiO)Cu${}_4$(PO${}_4$)${}_4$
• Reply to the Comment by S.E. Sebastian and N. Harrison