Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations

Abstract

Based on large-scale quantum Monte Carlo simulations, we examine the dynamical spin structure factor of the Balents-Fisher-Girvin kagome lattice quantum spin-$1/2$ model, which is known to harbor an extended $Z_2$ quantum spin liquid phase. We use a correlation-matrix sampling scheme combined with a stochastic analytic continuation method to resolve the spectral functions of this anisotropic quantum spin model with a three-site unit-cell. Based on this approach, we monitor the spin dynamics throughout the phase diagram of this model, from the XY-ferromagnetic region to the $Z_2$ quantum spin liquid regime. In the latter phase, we identify a gapped two-spinon continuum in the transverse scattering channel, which is faithfully modeled by an effective spinon tight-binding model. Within the longitudinal channel, we identify gapped vison excitations and exhibit indications for the translational symmetry fractionalization of the visons via an enhanced spectral periodicity.

arXiv comment6 pages, 9 figures, v2: published version

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• From Claringbullite to a new spin liquid candidate Cu${}_3$Zn(OH)${}_6$FCl
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Thermal Evolution of Dirac Magnons in the Honeycomb Ferromagnet CrBr${}_3$
• Vestigial anyon condensation in kagome quantum spin liquids
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• Highly resolved spectral functions of two-dimensional systems with neural quantum states
• Evidence for the topological order in a kagome antiferromagnet
• Investigating phase transitions from local crystallographic analysis based on machine learning of atomic environments
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Spin dynamics of the planar kagome lattice ferromagnet with four-site ring exchange processes
• Interacting Dirac magnons in the van der Waals ferromagnet CrBr${}_3$
• Bosonic SET to SPT Transition under Dyonic LSM Theorem
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• Breathing kagome XY quantum magnet with four-site ring exchange