Spin-liquid phase in a spin-1/2 quantum magnet on the kagome lattice.

  title={Spin-liquid phase in a spin-1/2 quantum magnet on the kagome lattice.},
  author={Sergei V. Isakov and Yong Baek Kim and Arun Paramekanti},
  journal={Physical review letters},
  volume={97 20},
We study a model of hard-core bosons with short-range repulsive interactions at half filling on the kagome lattice. Using quantum Monte Carlo numerics, we find that this model shows a continuous superfluid-insulator quantum phase transition, with exponents z=1 and nu approximately 0.67(5). The insulator, I*, exhibits short-ranged density and bond correlations, topological order, and exponentially decaying spatial vison correlations, all of which point to a Z2 fractionalized phase. We estimate… 

Topics from this paper

Fractionalized Fermi liquid in a frustrated Kondo lattice model
We consider Dirac electrons on the honeycomb lattice Kondo coupled to spin-1/2 degrees of freedom on the kagome lattice. The interactions between the spins are chosen along the lines of the
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 with
Correlated spin liquids in the quantum kagome antiferromagnet at finite field: a renormalization group analysis
We analyse the antiferromagnetic spin-$1/2$ XXZ model on the kagome lattice at finite external magnetic field with the help of a nonperturbative zero-temperature renormalization group (RG) technique.
Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice.
The transition between a spin liquid and stripe solid appears to be continuous and associated with the condensation of visons, and belongs to the 3D XY^{*} universality classassociated with thecondensation of spinons.
Unusual liquid state of hard-core bosons on the pyrochlore lattice.
We study the physics of hard-core bosons with unfrustrated hopping (t) and nearest-neighbor repulsion (V) on the three dimensional pyrochlore lattice. At half-filling, we demonstrate that the small
The Z2 and chiral spin liquids in an anisotropic kagome spin model
Gapped spin liquid is a topological phase of matter that hosts deconfined fractionalized quasiparticles. Quasiparticle statistics are an intrinsic property of spin liquid. However, it is difficult to
Kagome model for a Z2 quantum spin liquid
We present a study of a simple model antiferromagnet consisting of a sum of nearest neighbor SO($N$) singlet projectors on the Kagome lattice. Our model shares some features with the popular $S=1/2$
Mott insulators in a fully frustrated Bose–Hubbard model on the honeycomb lattice
We examine the effects of quantum fluctuations on a classical spin liquid state in the fully frustrated honeycomb lattice Bose–Hubbard model in the hard-core limit using quantum Monte Carlo
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.
Spin Wave Theory of Spin 1/2 XY Model with Ring Exchange on a Triangular Lattice
We present the linear spin wave theory calculation of the superfluid phase of a hard-core boson $J$-$K$ model with nearest neighbour exchange $J$ and four-particle ring-exchange $K$ at half filling


Hard-core bosons on the kagome lattice: valence-bond solids and their quantum melting.
Using large scale quantum Monte Carlo simulations and dual vortex theory, the ground state phase diagram of hard-core bosons on the kagome lattice with nearest-neighbor repulsion is analyzed, providing evidence for a weakly first-order phase transition at the quantum melting point between these solid phases and the superfluid.
Numerical evidences of fractionalization in an easy-axis two-spin heisenberg antiferromagnet.
It is shown that the generalized kagome spin model in the easy-axis limit exhibits a spin liquid, topologically degenerate ground state over a broad range of phase space, including a point at which the model is equivalent to a Heisenberg model with purely two-spin exchange interactions.
Mean-field theory of spin-liquid states with finite energy gap and topological orders.
  • Wen
  • Physics, Medicine
    Physical review. B, Condensed matter
  • 1991
The mean-field theory of a T- and P-symmetric spin-liquid state is developed. The quasiparticle excitations in the spin-liquid state are shown to be spin-1/2 neutral fermions (the spinons) and charge
Spin liquid state in an organic Mott insulator with a triangular lattice.
1H NMR and static susceptibility measurements have been performed in an organic Mott insulator with a nearly isotropic triangular lattice and suggest that a quantum spin liquid state is realized in the close proximity of the superconducting state appearing under pressure.
Experimental realization of a 2D fractional quantum spin liquid.
The dynamic correlations show a highly dispersive continuum of excited states, characteristic of the resonating valence bond state, arising from pairs of S = 1/2 spinons.
Fractionalization in an easy-axis Kagome antiferromagnet
We study an antiferromagnetic spin-$1/2$ model with up to third nearest-neighbor couplings on the Kagome lattice in the easy-axis limit, and show that its low-energy dynamics are governed by a
Origin of artificial electrodynamics in three-dimensional bosonic models
Several simple models of strongly correlated bosons on three-dimensional lattices have been shown to possess exotic fractionalized Mott insulating phases with a gapless "photon" excitation. In this
Quantum dimer model on the kagome lattice: solvable dimer-liquid and ising gauge theory.
This work introduces quantum dimer models on lattices made of corner-sharing triangles, which realize fully disordered and gapped dimer-liquid phase with topological degeneracy and deconfined fractional excitations, as well as solid phases.
Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
We develop a new theoretical framework for describing and analyzing exotic phases of strongly correlated electrons which support excitations with fractional quantum numbers. Starting with a class of
Spin-liquid correlations in the Nd-langasite anisotropic kagomé antiferromagnet.
Comparison with calculated static magnetic scattering from models of correlated spins suggests that the observed phase is a spin liquid inherent to an antiferromagnetic kagomé-like lattice of anisotropic Nd moments.