# Gapless spin excitations in the S=1/2 Kagome- and triangular-lattice Heisenberg antiferromagnets

@article{Sakai2017GaplessSE, title={Gapless spin excitations in the S=1/2 Kagome- and triangular-lattice Heisenberg antiferromagnets}, author={T{\^o}ru Sakai and Hiroki Nakano}, journal={Physica B-condensed Matter}, year={2017}, volume={536}, pages={85-88} }

## 5 Citations

### Effect of perturbations on the kagome S=12 antiferromagnet at all temperatures

- PhysicsPhysical Review B
- 2020

The ground state of the $S=1/2$ kagome Heisenberg antiferromagnet is now recognized as a spin liquid, but its precise nature remains unsettled, even if more and more clues point towards a gapless…

### Spin liquid mediated RKKY interaction

- PhysicsScientific Reports
- 2019

This work investigates the possible ordering of nuclear spins that interact through an underlying lattice of the two-dimensional spin-1/2 kagome antiferromagnet (KHAF), and demonstrates that the interaction is predominately shaped by the lattice symmetries of the underlying spin liquid.

### Method to observe the anomaly of magnetic susceptibility in quantum spin systems

- Physics
- 2019

We propose a new method for studying the anomaly of magnetic susceptibility $\chi$ that indicates a phase transition for quantum spin systems. In addition, we introduce the fourth derivative $A$ of…

### Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu$_3$(OH)$_6$Br$_2$[Br$_{x}$(OH)$_{1-x}$]

- Materials Science, Education
- 2021

YCu3(OH)6Br2[Brx(OH)1−x] Zhenyuan Zeng, 2 Xiaoyan Ma, 2 Si Wu, Hai-Feng Li, ∗ Zhen Tao, Xingye Lu, Xiao-hui Chen, Jin-Xiao Mi, Shi-Jie Song, Guang-Han Cao, 7, 8 Guangwei Che, Kuo Li, Gang Li, 10…

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This work uses 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 and provides strong evidence that, for the infinite two-dimensional system, the groundState of this model is a fully gapped spin liquid.

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We study the system size dependence of the singlet–triplet excitation gap in the S =1/2 kagome-lattice Heisenberg antiferromagnet by numerical diagonalization. We successfully obtain a new result of…

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The magnetization process of the spin-S Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. Our numerical-diagonalization data for small finite-size…

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The spin-1/2 antiferromagnetic Heisenberg model on the kagome lattice is numerically studied using the density-matrix renormalization group method and is found to be a magnetically disordered spin liquid, characterized by an exponential decay of spin-spin correlation function in real space and a magnetic structure factor showing system-size independent peaks at commensurate magnetic wave vectors.

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Using the numerical diagonalization method, we study the \(S=1/2\) Heisenberg antiferromagnet on a two-dimensional lattice composed of vertex-sharing triangles that we call the shuriken lattice. This…

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The ground state of the spin-1/2 Heisenberg antiferromagnet on a distorted triangular lattice is studied using a numerical-diagonalization method. The network of interactions is the \(\sqrt{3} \times…

### Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice

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The ground state of the spin-$1/2$ Heisenberg antiferromagnet on a distorted triangular lattice is studied using a numerical-diagonalization method. The network of interactions is the…