Breathing kagome XY quantum magnet with four-site ring exchange

Abstract

We study the impact of trimerization (breathing) of the nearest-neighbor (NN) exchange on the planar XY spin-1/2 ferromagnet on the kagome lattice, including additional four-site ring exchange. For uniform NN exchange, this model has previously been shown to transit from a long-range ordered ferromagnet into a Z2 quantum spin liquid by virtue of the ring exchange. Using quantum Monte-Carlo calculations, based on the stochastic series expansion, we present results for the spin stiffness, the quantum phase diagram, the longitudinal static, as well as the transverse dynamic structure factor. Our results corroborate 3D XY universality also at finite trimerization and suggest a simple continuation of the quantum critical point of the uniform case into a line in terms of rescaled exchange parameters. Moreover, at any trimerization and in the ordered phase the elementary excitations can be understood very well in terms of linear spin wave theory, while beyond the critical line, in the spin liquid phase we find signatures of spinon continua.

arXiv comment9 pages, 8 figures

References in corpus (43)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• An RVB phase in the triangular lattice quantum dimer model
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• A Field Guide to Spin Liquids
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Ultracold Atoms in a Tunable Optical Kagome Lattice
• Critical behavior of the three-dimensional XY universality class
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Vaporization of Kitaev spin liquids
• Atomic quantum gases in Kagomé lattices
• Finite size effects on measures of critical exponents in d=3 O(N) models
• The sign problem in Monte Carlo simulations of frustrated quantum spin systems
• Universal Magnetic Properties of Frustrated Quantum Antiferromagnets in Two Dimensions
• Quantum Phase Transition in Frustrated Two-Dimensional Antiferromagnets
• Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
• RVB description of the low-energy singlets of the spin 1/2 kagome antiferromagnet
• Microscopic models for fractionalized phases in strongly correlated systems
• Universal Signatures of Fractionalized Quantum Critical Points
• Kosterlitz-Thouless transition of quantum XY model in two dimensions
• Spin liquid phase in a $S=1/2$ quantum magnet on the kagome lattice
• Quantum gases in trimerized kagomé lattices
• Ordering in Cs2CuCl4: Is there a proximate spin liquid?
• Quantum Spin Liquid in a Breathing Kagome Lattice
• Numerical study of fractionalization in an Easy-axis Kagome antiferromagnet
• Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet
• Stochastic series expansion algorithm for the S=1/2 XY model with four-site ring exchange
• Critical structure factors of bilinear fields in O(N)-vector models
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Quantum spin liquid in a kagome lattice spin-1/2 XY model with four-site exchange
• Exotic phase diagram of a cluster charging model of bosons on the kagome lattice
• Effective quantum dimer model for trimerized kagome antiferromagnet
• Spatial Coherence of a Strongly Interacting Bose Gas in the Trimerized Kagome Lattice
• Gapped $Z_2$ spin liquid in the breathing kagome Heisenberg antiferromagnet
• Spin dynamics of the planar kagome lattice ferromagnet with four-site ring exchange processes