Six magnetization plateau phases in a spin-1/2 distorted kagome antiferromagnet: application to ${\mathrm{Y}}_3{\mathrm{Cu}}_9(\mathrm{OH}{)}_{19}{\mathrm{Cl}}_8$

Abstract

A recently discovered kagome antiferromagnet ${\mathrm{Y}}_3{\mathrm{Cu}}_9(\mathrm{OH}{)}_{19}{\mathrm{Cl}}_8$ has attracted significant interest due to its unique kagome lattice structure and magnetic properties. The kagome lattice has three types of exchange interactions: one hexagonal coupling and two different triangular couplings. Previous studies have shown that its ground state is significantly different from that predicted for the undistorted kagome lattice, forming a coplanar spin state with a commensurate magnetic wave vector $\mathbf{Q}=(1/3,1/3)$. Two separate studies have proposed distinct sets of exchange interaction parameters for this compound. In this study, we investigate the ground state of the spin-1/2 Heisenberg kagome model with three types of nearest-neighbor exchange interactions under a magnetic field by exact diagonalization using the Lanczos method. We reveal that clear magnetization plateaus at $M/M_{\mathrm{sat}}$=1/3, 5/9, and 7/9 are present under both parameter sets, which are identified as magnon crystal states based on their spin structures. Our findings suggest that these plateaus could potentially be experimentally confirmed with magnetization measurements on ${\mathrm{Y}}_3{\mathrm{Cu}}_9(\mathrm{OH}{)}_{19}{\mathrm{Cl}}_8$ under a magnetic field of approximately 300 T, achievable with state-of-the-art magnetic field generators. In order to get a deeper understanding of magnetism of ${\mathrm{Y}}_3{\mathrm{Cu}}_9(\mathrm{OH}{)}_{19}{\mathrm{Cl}}_8$, we perform additional calculations by varying these interactions. Consequently, we discover additional plateau phases at $M/M_{\mathrm{sat}}$=1/3, 5/9, and 7/9, each distinctly different from the magnon crystal states.

Also made slight changes to the title

References in corpus (38)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Experimental Realization of Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet
• Unusual ordered phases of highly frustrated magnets: a review
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• The spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• Gapped spin liquid with ${\mathbb{Z}}_2$-topological order for kagome Heisenberg model
• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Quantum stabilization of 1/3-magnetization plateau in Cs_2CuBr_4
• Magnetization Process of the S=1 and 1/2 Uniform and Distorted Kagome Heisenberg Antiferromagnets
• Spin-S Kagome quantum antiferromagnets in a field with tensor networks
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Valence-bond crystal in the extended kagome spin-1/2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
• Magnetic phases of a highly frustrated magnet, ZnCr2O4, up to an ultra-high magnetic field of 600 T
• Hidden long range order in Heisenberg Kagome antiferromagnets
• Strong magnetic frustration in Y${}_3$Cu${}_9$(OH)${}_{19}$Cl${}_8$: a distorted kagome antiferromagnet
• Deformed triangular lattice antiferromagnets in a magnetic field: role of spatial anisotropy and Dzyaloshinskii-Moriya interactions
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• Magnon crystallization in the kagome lattice antiferromagnet
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• From spin liquid to magnetic ordering in the anisotropic kagome Y-Kapellasite Y3Cu9(OH)19Cl8: a single crystal study
• Magnetic phase diagrams and magnetization plateaus of the spin-1/2 antiferromagnetic Heisenberg model on square-kagome lattice with three nonequivalent exchange interactions
• Nature of the 1/9-magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet
• Spin cluster operator theory for the Kagome lattice antiferromagnet
• Nature of optical excitations in the frustrated kagome compound Herbertsmithite
• Signatures of a magnetic superstructure phase induced by ultrahigh magnetic fields in a breathing pyrochlore antiferromagnet
• Magnetic ordering of the distorted kagome antiferromagnet Y${}_3$Cu${}_9$(OH)${}_{18}$[Cl${}_8$(OH)] prepared via optimal synthesis
• Phase diagram and magnetic excitations of $J_1$-$J_3$ Heisenberg model on the square lattice

Cited by in corpus (2)

• Valence Bond Crystal Ground State of the 1/9 Magnetization Plateau in the Spin-1/2 Kagome Lattice
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets