Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets

Abstract

Motivated by very recent experimental observations of the 1/9 magnetization plateaus in YCu${}_3$(OH)${}_{6+x}$Br${}_{3-x}$ and YCu${}_3$(OD)${}_{6+x}$Br${}_{3-x}$, our study delves into the magnetic field-induced phase transitions in the nearest-neighbor antiferromagnetic Heisenberg model on the kagome lattice using the variational Monte Carlo technique. We uncover a phase transition from a zero-field Dirac spin liquid to a field-induced magnetically disordered phase that exhibits the 1/9 magnetization plateau. Through a comprehensive analysis encompassing the magnetization distribution, spin correlations, chiral order parameter, topological entanglement entropy, ground-state degeneracy, Chern number and excitation spectrum, we pinpoint the phase associated with this magnetization plateau as a chiral ${\mathbb{Z}}_3$ topological quantum spin liquid and elucidate its diverse physical properties.

Accepted by Phys. Rev. Lett

References in corpus (27)

• High temperature fractional quantum Hall states
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Topological kagome magnets and superconductors
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Doped Kagome System as Exotic Superconductor
• Exact low-temperature behavior of kagome antiferromagnet at high fields
• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Entanglement entropy of critical spin liquids
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Magnetization Process of Kagome-Lattice Heisenberg Antiferromagnet
• Thermodynamics of the Up-Up-Down Phase of the S = 1/2 Triangular-Lattice Antiferromagnet Cs${}_2$CuBr${}_4$
• Dynamic fingerprint of fractionalized excitations in single-crystalline Cu${}_3$Zn(OH)${}_6$FBr
• Pinwheel valence-bond-crystal ground state of the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the $shuriken$ lattice
• Observation of a 1/3 Magnetisation Plateau Phase as Evidence for the Kitaev Interaction in a Honeycomb-Lattice Antiferromagnet
• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• Variational study of the ground state and spin dynamics of the spin-$\frac{1}{2}$ Kagome antiferromagnetic Heisenberg model and its implication on Hebertsmithite ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Nature of the 1/9-magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet

Cited by in corpus (11)

• Unconventional Magnetic Oscillations in Kagome Mott Insulators
• Thermodynamic evidence of fermionic behavior in the vicinity of one-ninth plateau in a kagome antiferromagnet
• Valence Bond Crystal Ground State of the 1/9 Magnetization Plateau in the Spin-1/2 Kagome Lattice
• Breathing-Driven Metal-Insulator Transition in Correlated Kagome Systems
• Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Dirac node pinning from Dzyaloshinskii-Moriya interactions in a Kagome spin liquid
• Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
• Robust semiclassical magnetization plateau in the kagome lattice