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

@article{Isakov2006SpinliquidPI, 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}, year={2006}, volume={97 20}, pages={ 207204 } }

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

## 43 Citations

Fractionalized Fermi liquid in a frustrated Kondo lattice model

- PhysicsPhysical Review B
- 2019

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

- Physics
- 2019

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

- PhysicsNew Journal of Physics
- 2019

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.

- Medicine, PhysicsPhysical review letters
- 2018

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.

- Medicine, PhysicsPhysical review letters
- 2008

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

- Physics
- 2014

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

- Physics
- 2020

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

- Physics
- 2011

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.

- Medicine, PhysicsPhysical review letters
- 2018

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

- Physics
- 2012

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…

## References

SHOWING 1-10 OF 23 REFERENCES

Hard-core bosons on the kagome lattice: valence-bond solids and their quantum melting.

- Physics, MedicinePhysical review letters
- 2006

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.

- Physics, MedicinePhysical review letters
- 2005

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.

- Physics, MedicinePhysical 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.

- Physics, MedicinePhysical review letters
- 2003

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.

- Physics, MedicinePhysical review letters
- 2001

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

- Physics
- 2002

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

- Physics
- 2005

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.

- Medicine, PhysicsPhysical review letters
- 2002

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

- Physics
- 2000

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.

- Physics, MedicinePhysical review letters
- 2006

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.