Gapless spin liquid in the kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions

Abstract

A preponderance of evidence suggests that the ground state of the nearest-neighbor $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice is a gapless spin liquid. Many candidate materials for the realization of this model possess in addition a Dzyaloshinskii-Moriya (DM) interaction. We study this system by tensor-network methods and deduce that a weak but finite DM interaction is required to destabilize the gapless spin-liquid state. The critical magnitude, $D_c/J\simeq 0.012(2)$, lies well below the DM strength proposed in the kagome material herbertsmithite, indicating a need to reassess the apparent spin-liquid behavior reported in this system.

9 pages, 9 figures, to appear in Phys. Rev. B

References in corpus (21)

• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• The iTEBD algorithm beyond unitary evolution
• 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
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling
• Low temperature magnetization of the S=1/2 kagome antiferromagnet ZnCu_3(OH)_6Cl_2
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Monte Carlo simulation with Tensor Network States
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Simplex solid states of SU(N) quantum antiferromagnets
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Accurate computation of low-temperature thermodynamics for quantum spin chains

Cited by in corpus (29)

• Quantum Spin Liquids
• Differentiable Programming Tensor Networks
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Eta-pairing states as true scars in an extended Hubbard Model
• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Gapless Spin Liquid Behavior in A Kagome Heisenberg Antiferromagnet with Randomly Distributed Hexagons of Alternate Bonds
• Negative-vector-chirality 120${}^{\circ }$ spin structure in the defect- and distortion-free quantum kagome antiferromagnet YCu${}_3$(OH)${}_6$Cl${}_3$
• Spinon Fractionalization from Dynamic Structure Factor of Spin-1/2 Heisenberg Antiferromagnet on the Kagome Lattice
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• Pinch-points to half-moons and up in the stars: the kagome skymap
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• The observation of quantum fluctuations in a kagome Heisenberg antiferromagnet
• Single-layer tensor network study of the Heisenberg model with chiral interactions on a kagome lattice
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
• Spin-1/2 kagome Heisenberg antiferromagnet: Machine learning discovery of the spinon pair density wave ground state
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Canted Antiferromagnetic Order in the Kagome Material Sr-Vesignieite
• Efficient calculation of three-dimensional tensor networks
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model
• Fluctuating magnetism in Zn-doped averievite with well-separated kagome layers
• Single-layer framework of variational tensor network states
• Disorder-induced spin-cluster magnetism in a doped kagome spin liquid candidate