Origin of Magnetic Ordering in a Structurally-Perfect Quantum Kagome Antiferromagnet

Abstract

The ground state of the simple Heisenberg nearest-neighbor quantum kagome antiferromagnetic model is a magnetically disordered spin liquid, yet various perturbations may lead to fundamentally different states. Here we disclose the origin of magnetic ordering in the structurally-perfect kagome material YCu${}_3$(OH)${}_6$Cl${}_3$, which is free of the widespread impurity problem. {\it Ab-initio} calculations and modeling of its magnetic susceptibility reveal that, similar to the archetypal case of herbertsmithite, the nearest-neighbor exchange is by far the dominant isotropic interaction. Dzyaloshinskii-Moriya (DM) magnetic anisotropy deduced from electron spin resonance and specific-heat measurements is, however, significantly larger than in herbertsmithite. By enhancing spin correlations within kagome planes, this anisotropy is essential for magnetic ordering. Our study isolates the effect of DM anisotropy from other perturbations and unambiguously confirms the theoretical phase diagram.

arXiv commentManuscript plus Supplemental Information

References in corpus (46)

• Quantum Spin Liquids
• Quantum Spin Liquid States
• Spin-lattice coupling in frustrated antiferromagnets
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
• 17O NMR study of the intrinsic magnetic susceptibility and spin dynamics of the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Neel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Ground State and Finite Temperature Lanczos Methods
• Specific heat of quasi-2D antiferromagnetic Heisenberg models with varying inter-planar couplings
• Magnetism of the N=42 kagome lattice antiferromagnet
• Interplay of thermal and quantum spin fluctuations on the kagome lattice
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Projective symmetry group classification of chiral spin liquids
• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Valence Bond Glass Phase in the Diluted Kagome Antiferromagnets
• Modified kagome physics in the natural spin-1/2 kagome lattice systems - kapellasite Cu3Zn(OH)6Cl2 and haydeeite Cu3Mg(OH)6Cl2
• Quantum spin-liquid behavior in the spin-1/2 random-bond Heisenberg antiferromagnet on the kagome lattice
• Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice
• Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions
• Dzyaloshinsky-Moriya interaction in vesignieite: A route to freezing in a quantum kagome antiferromagnet
• 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
• Magnetic behavior of volborthite Cu3V2O7(OH)2(H2O)2 determined by coupled trimers rather than frustrated chains
• Haydeeite: a spin-1/2 kagome ferromagnet
• Symmetry Reduction in the Quantum Kagome Antiferromagnet Herbertsmithite
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Coexistence of magnetic order and persistent spin dynamics in a quantum kagome antiferromagnet with no intersite mixing
• Barlowite as a canted antiferromagnet: theory and experiment
• Exchange energies of Kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model
• Negative-vector-chirality 120${}^{\circ }$ spin structure in the defect- and distortion-free quantum kagome antiferromagnet YCu${}_3$(OH)${}_6$Cl${}_3$
• Vesignieite: a $S=\frac{1}{2}$ kagome antiferromagnet with dominant third-neighbor exchange
• Spinon Fractionalization from Dynamic Structure Factor of Spin-1/2 Heisenberg Antiferromagnet on the Kagome Lattice
• Electron spin resonance in S=1/2 antiferromagnets at high temperature
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• The route to magnetic order in the spin-$1/2$ kagome Heisenberg antiferromagnet: The role of interlayer coupling
• Valence bond phases of herbertsmithite and related copper kagome materials
• Evidence for a Parity Broken Monoclinic Ground State in the S = 1/2 Kagomé Antiferromagnet Herbertsmithite

Cited by in corpus (26)

• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Experimental signatures of quantum and topological states in frustrated magnetism
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• 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
• Development of short and long-range magnetic order in the double perovskite based frustrated triangular lattice antiferromagnet Ba2MnTeO6
• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• From spin liquid to magnetic ordering in the anisotropic kagome Y-Kapellasite Y3Cu9(OH)19Cl8: a single crystal study
• Dynamical spin correlations of the kagome antiferromagnet
• Magnetic ground states in kagome YCu${}_3$(OH)${}_6$[(Cl${}_x$Br${}_{1-x}$)${}_{3-y}$(OH)${}_y$]
• Quantum half-orphans in kagome antiferromagnets
• Magnetic ordering of the distorted kagome antiferromagnet Y${}_3$Cu${}_9$(OH)${}_{18}$[Cl${}_8$(OH)] prepared via optimal synthesis
• NMR evidence of spinon localization in kagome antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_{1-x}$(OH)${}_x$]
• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• $LnC{u}_3(OH{)}_{6}C{l}_3(Ln=Gd,Tb,Dy)$: Heavy Lanthanides on Spin-1/2 Kagome Magnets
• Magnetism and field-induced effects in the S = 5/2 honeycomb lattice antiferromagnet FeP3SiO11
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
• A Series Expansion Study for Large Negative Quantum Renormalization of Magnon Spectra in the $S=1/2$ Kagome-Lattice Heisenberg Antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• Spin excitations arising from anisotropic Dirac spinons in YCu${}_3$(OD)${}_6$Br${}_2$[Br${}_{0.33}$(OD)${}_{0.67}$]
• Is Herbertsmithite far from an ideal antiferromagnet? Ab-initio answer including in-plane Dzyaloshinskii-Moriya interactions and coupling with extra-plane impurities
• One-third magnetization plateau in a spin-1 kagome magnet BaNi${}_3$(AsO${}_4$)${}_2$(OH)${}_2$
• Disorder-induced spin-cluster magnetism in a doped kagome spin liquid candidate
• Multistage spin correlations in the $s$ = 1/2 stuffed hyper-star lattice Li${}_2$Cu${}_2$(MoO${}_4$)${}_3$