The effect of the quenched bond-randomness on the ordering of the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice is investigated by means of an exact-diagonalization method. When the randomness exceeds a critical value, the ground state of the model exhibits a transition within the non-magnetic state into the randomness-relevant gapless spin-liquid state. Implications to the S=1/2 kagome-lattice antiferromagnet herbertsmithite is discussed.The effect of the quenched bond-randomness on the ordering of the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice is investigated by means of an exact-diagonalization method. When the randomness exceeds a critical value, the ground state of the model exhibits a transition within the non-magnetic state into the randomness-relevant gapless spin-liquid state. Implications to the S=1/2 kagome-lattice antiferromagnet herbertsmithite is discussed.

arXiv:1408.0606Journal of the Physical Society of JapanSep 4, 201480 citations

First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice

Ch. Waldtmann, H. U. Everts, B. Bernu +4 more

arXiv:cond-mat/9802168The European Physical Journal BMay 1, 1998375 citations

Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet

Simeng Yan, David A. Huse, Steven R. White

We use the density matrix renormalization group to perform accurate calculations of the ground state of the nearest-neighbor quantum spin S = 1/2 Heisenberg antiferromagnet on the kagome lattice. We study this model on numerous long cylinders with circumferences up to 12 lattice spacings. Through a combination of very-low-energy and small finite-size effects, our results provide strong evidence that, for the infinite two-dimensional system, the ground state of this model is a fully gapped spin liquid.We use the density matrix renormalization group to perform accurate calculations of the ground state of the nearest-neighbor quantum spin S = 1/2 Heisenberg antiferromagnet on the kagome lattice. We study this model on numerous long cylinders with circumferences up to 12 lattice spacings. Through a combination of very-low-energy and small finite-size effects, our results provide strong evidence that, for the infinite two-dimensional system, the ground state of this model is a fully gapped spin liquid.

arXiv:1011.6114ScienceApr 29, 20111,240 citations

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

Hitesh J. Changlani, Andreas Martin Läuchli

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The $\mathrm{SU}(3)$ -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 $\ensuremath{-}1.410(2)$ and establish the presence of a spin gap.We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The $\mathrm{SU}(3)$-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 $\ensuremath{-}1.410(2)$ and establish the presence of a spin gap.

arXiv:1406.4767Physical Review BMar 30, 201553 citations

Bound state of two spinons in a S=1/2 Heisenberg antiferromagnet on kagome

Zhihao Hao, Oleg Tchernyshyov

Bulletin of the American Physical SocietyMar 16, 20090 citations

The effect of the quenched bond-randomness on the ordering of the

S=1/2

antiferromagnetic Heisenberg model on the kagome lattice is investigated by means of an exact-diagonalization method. When the randomness exceeds a critical value, the ground state of the model exhibits a transition within the non-magnetic state into the randomness-relevant gapless spin-liquid state. Implications to the S=1/2 kagome-lattice antiferromagnet herbertsmithite is discussed.

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The

\mathrm{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 $\ensuremath{-}1.410(2)$ and establish the presence of a spin gap.