Breathing kagome XY quantum magnet with four-site ring exchange

  title={Breathing kagome XY quantum magnet with four-site ring exchange},
  author={Niklas Casper and Wolfram Brenig},
  journal={Physical Review B},
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… Expand

Figures from this paper


  • Rev. B 84, 132409
  • 2011
Gapped Z2 spin liquid in the breathing kagome Heisenberg antiferromagnet
We investigate the spin-1/2 Heisenberg antiferromagnet on a kagome lattice with breathing anisotropy (i.e., with weak and strong triangular units), constructing an improved simplex resonating valenceExpand
  • Rev. A 101, 011601
  • 2020
Spatial coherence of a strongly interacting Bose gas in the trimerized kagome lattice
We produce a trimerized kagome lattice for ultracold atoms using an optical superlattice formed by overlaying triangular lattices generated with two colors of light at a 2:1 wavelength ratio.Expand
A Field Guide to Spin Liquids
Spin liquids are collective phases of quantum matter that have eluded discovery in correlated magnetic materials for over half a century. Theoretical models of these enigmatic topological phases areExpand
  • Rev. Condens. Matter Phys. 10, 451
  • 2019
Spin dynamics of the planar kagome lattice ferromagnet with four-site ring exchange processes
By means of quantum Monte Carlo simulations, combined with a stochastic analytic continuation, we examine the spin dynamics of the spin-1/2 planar (XY) ferromagnet on the kagome lattice withExpand
Topological order, emergent gauge fields, and Fermi surface reconstruction.
  • S. Sachdev
  • Physics, Medicine
  • Reports on progress in physics. Physical Society
  • 2019
This review describes how topological order associated with the presence of emergent gauge fields can reconstruct Fermi surfaces of metals, even in the absence of translational symmetry breaking. WeExpand
Diagnosing Fractionalization from the Spin Dynamics of Z_{2} Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations.
A correlation-matrix sampling scheme combined with a stochastic analytic continuation method is used to resolve the spectral functions of this anisotropic quantum spin model with a three-site unit cell and identifies gapped vison excitations and exhibit indications for the translational symmetry fractionalization of the visons via an enhanced spectral periodicity. Expand
Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet
The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ andExpand