Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2

Abstract

Motivated by recent nuclear magnetic resonance experiments on ZnCu${}_3$(OH)${}_6$Cl${}_2$, we present an exact-diagonalization study of the combined effects of non-magnetic impurities and Dzyaloshinskii-Moriya (DM) interactions in the $s=1/2$ kagome antiferromagnet. The local response to an applied field and correlation-matrix data reveal that the dimer freezing which occurs around each impurity for $D=0$ persists at least up to $D/J\simeq 0.06$, where $J$ and $D$ denote respectively the exchange and DM interaction energies. The phase transition to the ($Q=0$) semiclassical, 120${}^{\circ }$ state favored at large $D$ takes place at $D/J\simeq 0.1$. However, the dimers next to the impurity sites remain strong up to values $D\sim J$, far above this critical point, and thus do not participate fully in the ordered state. We discuss the implications of our results for experiments on ZnCu${}_3$(OH)${}_6$Cl${}_2$.

11 pages, submitted to PRB

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• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Symmetry Reduction in the Quantum Kagome Antiferromagnet Herbertsmithite
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Gapless Spin Liquid Behavior in A Kagome Heisenberg Antiferromagnet with Randomly Distributed Hexagons of Alternate Bonds
• Dynamic fingerprint of fractionalized excitations in single-crystalline Cu${}_3$Zn(OH)${}_6$FBr
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
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• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Equilibrium currents in chiral systems with non-zero Chern number
• Schwinger Boson mean field theory of kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
• Helical order and multiferroicity in the $S=1/2$ quasi-kagome system KCu${}_3$As${}_2$O${}_7$(OD)${}_3$
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Ferrimagnetic 120${}^{\circ }$ magnetic structure in Cu2OSO4
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Dynamical Spectral Function of the Kagome Quantum Spin Liquid