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

2008/06/30 by O. Cepas, O. Cépas, Manson Cheuk‐Man Fong +3 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Coupling (piping) #Critical point (mathematics) #Materials science #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum fluctuation #Quantum mechanics #Quantum phase transition #Scaling #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.78.140405

published as Phys. Rev. B 78, 140405(R) (2008) · 5 pages, 4 figures; v2: add. data included, show that D=0.1J is at a quantum critical point

arxiv created 2008/07/09 · openalex publication_date 2008/10/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

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\ensuremath≃0.1J using exact diagonalizations and finite-size scaling. This suggests that the kagome compound ZnCu₃(OH)₆Cl₃ may be in a quantum critical region controlled by this fixed point.

Citations

• Impurity effects in the quantum kagome systemZnCu3(OH)6Cl2
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions
• Magnetic susceptibility and specific heat of the spin- (1)/(2) Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
• Properties of an algebraic spin liquid on the kagome lattice
• Spin Dynamics of the Spin-1/2Kagome Lattice AntiferromagnetZnCu3(OH)6Cl2
• Physics of low-energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
• Anisotropic Superexchange Interaction and Weak Ferromagnetism

Cited by

• Fluctuating magnetism in Zn-doped averievite with well-separated kagome layers
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field

Related

• The many faces of quantum kagome materials: Interplay of further-neighbour exchange and Dzyaloshinskii-Moriya interaction
• Q = 0 order in quantum kagome Heisenberg antiferromagnet
• A Question: Quantum Critical Phenomena in XY Spin-Chain Systems With Dzyaloshinskii-Moriya Interactions
• Continuous order-to-order quantum phase transitions from fixed-point annihilation
• Unnecessary quantum criticality in SU(3) kagome magnets