Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet

Abstract

We argue that the S=1/2 kagome antiferromagnet undergoes a quantum phase transition when the Dzyaloshinskii-Moriya coupling is increased. For $D<D_c$ the system is in a moment-free phase and for $D>D_c$ the system develops antiferromagnetic long-range order. The quantum critical point is found to be $D_c\simeq 0.1J$ using exact diagonalizations and finite-size scaling. This suggests that the kagome compound ZnCu${}_3(OH)$_6$Cl$_3$ may be in a quantum critical region controlled by this fixed point.

5 pages, 4 figures; v2: add. data included, show that D=0.1J is at a quantum critical point

References in corpus (11)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Properties of an algebraic spin liquid on the kagome lattice
• 17O NMR study of the intrinsic magnetic susceptibility and spin dynamics of the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• Impurity effects in the quantum kagome system ZnCu3(OH)6Cl2

Cited by in corpus (22)

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• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite
• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Barlowite: A Spin-1/2 Antiferromagnet with a Geometrically Perfect Kagome Motif
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Constraints on topological order in Mott Insulators
• Spin dynamics and disorder effects in the S=1/2 kagome Heisenberg spin liquid phase of kapellasite
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Magnetization Process of Kagome-Lattice Heisenberg Antiferromagnet
• Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with Dzyaloshinskii-Moriya Interactions
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• The ground-state phase diagram of the XXZ spin-s kagome antiferromagnet: A coupled-cluster study
• Spin susceptibility of quantum magnets from high to low temperatures
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Dzyaloshinskii-Moriya interactions in valence bond systems
• Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Helical order and multiferroicity in the $S=1/2$ quasi-kagome system KCu${}_3$As${}_2$O${}_7$(OD)${}_3$
• New S=1/2 Kagome Antiferromagnets A${}_2$Cu${}_3$SnF${}_{12}$: A=Cs and Rb