Ground State and Elementary Excitations of theS=1Kagomé Heisenberg Antiferromagnet

Hida, Kazuo

doi:10.1143/jpsj.69.4003

Cited by 63 publications

(75 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is verified by the observation that S Conclusion-We have performed ED and DMRG calculations on the spin-1 kagome antiferromagnet with bilinear and biquadratic terms. We find evidence for trimerization at the Heisenberg point, which is not consistent with the hexagonalsinglet state (HSS) picture 19 , nor with the √ 3 × √ 3 order predicted by 1/S methods 20 . We also estimated the location of the phase transition from the trimerized state to the spinnematic phase to be J bq * ∼ −0.16.…”

contrasting

confidence: 80%

“…When S is large, as is the case for the S = 5/2 iron jarosite KFe 3 (OH) 6 (SO 4 ) 2 16 , long-range magnetic order of the √ 3 × √ 3 type is expected 17,18 . However, for the intermediate spin case, S = 1 [19][20][21] and S = 3/2 22 , the theoretical situation is unclear. There exist several experimental motivations 23 for studying this problem.…”

mentioning

confidence: 99%

“…Following Hida 19 , we associate two spin-1/2 degrees of freedom (labelled by α and β) with every spin-1, and define,…”

mentioning

confidence: 99%

See 2 more Smart Citations

Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the kagome lattice

Changlani

Läuchli

2015

Phys. Rev. B

View full text Add to dashboard Cite

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice, using exact diagonalization (ED) and the density matrix renormalization group (DMRG) algorithm. The SU(3) symmetric point of this model Hamiltonian is a spontaneously trimerized state whose qualitative nature persists even at the Heisenberg point, a finding that contrasts previous proposals. We report the ground state energy per site of the Heisenberg model to be −1.410(2) and establish the presence of a spin gap.

show abstract

contrasting

confidence: 80%

mentioning

confidence: 99%

See 1 more Smart Citation

Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the kagome lattice

Changlani

Läuchli

2015

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…In order to include the contribution of the highest order N tr = 6, one has to exclude the lowest-order contribution as explained in Subsect. III C. Therefore, the last step of the Wynn extrapolation yields e (4) 0 which is also shown in Fig. 7.…”

Section: B Kagome Latticementioning

confidence: 56%

“…III C). The last step of the Wynn extrapolation then yields e (4) 0 . For this extrapolation we find that the difference to the iPEPS data is similar compared to the one with the bare NLCE result tr(4) 0 at λ = 1 (but with a different sign).…”

Section: B Kagome Latticementioning

confidence: 99%

Nonperturbative linked-cluster expansions for the trimerized ground state of the spin-one kagome Heisenberg model

Ixert¹,

Tischler

Schmidt

2015

Phys. Rev. B

View full text Add to dashboard Cite

We use non-perturbative linked-cluster expansions to determine the ground-state energy per site of the spin-one Heisenberg model on the kagome lattice. To this end, a parameter is introduced allowing to interpolate between a fully trimerized state and the isotropic model. The ground-state energy per site of the full graph decomposition up to graphs of six triangles (18 spins) displays a complex behaviour as a function of this parameter close to the isotropic model which we attribute to divergencies of partial series in the graph expansion of quasi-1d unfrustrated chain graphs. More concretely, these divergencies can be traced back to a quantum critical point of the one-dimensional unfrustrated chain of coupled triangles. Interestingly, the reorganization of the non-perturbative linked-cluster expansion in terms of clusters with enhanced symmetry yields a ground-state energy per site of the isotropic two-dimensional model being in quantitative agreement with other numerical approaches in favor of a spontaneous trimerization of the system. Our findings are of general importance for any non-perturbative linked-cluster expansion on geometrically frustrated systems.

show abstract

Frustrated Quantum Magnets

Lhuillier

Misguich

2002

High Magnetic Fields

140

View full text Add to dashboard Cite

A description of different phases of two dimensional magnetic insulators is given.The first chapters are devoted to the understanding of the symmetry breaking mechanism in the semi-classical Néel phases. Order by disorder selection is illustrated. All these phases break SU (2) symmetry and are gapless phases with ∆S z = 1 magnon excitations.Different gapful quantum phases exist in two dimensions: the Valence Bond Crystal phases (VBC) which have long range order in local S=0 objects (either dimers in the usual Valence Bond acception or quadrumers..), but also Resonating Valence Bond Spin Liquids (RVBSL), which have no long range order in any local order parameter and an absence of susceptibility to any local probe. VBC have gapful ∆S = 0, or1 excitations, RVBSL on the contrary have deconfined spin-1/2 excitations. Examples of these two kinds of quantum phases are given in chapters 4 and 5. A special class of magnets (on the kagome or pyrochlore lattices) has an infinite local degeneracy in the classical limit: they give birth in the quantum limit to different behaviors which are illustrated and questionned in the last lecture.

show abstract

Ground State and Elementary Excitations of theS=1Kagomé Heisenberg Antiferromagnet

Cited by 63 publications

References 14 publications

Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the kagome lattice

Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the kagome lattice

Nonperturbative linked-cluster expansions for the trimerized ground state of the spin-one kagome Heisenberg model

Frustrated Quantum Magnets

Contact Info

Product

Resources

About