## SciPost Submission Page

# Competing Spin Liquid Phases in the S=$\frac{1}{2}$ Heisenberg Model on the Kagome Lattice

### by Shenghan Jiang, Panjin Kim, Jung Hoon Han, Ying Ran

#### - Published as SciPost Phys. 7, 006 (2019)

### Submission summary

As Contributors: | Shenghan Jiang |

Arxiv Link: | https://arxiv.org/abs/1610.02024v3 |

Date accepted: | 2019-07-02 |

Date submitted: | 2019-06-12 |

Submitted by: | Jiang, Shenghan |

Submitted to: | SciPost Physics |

Domain(s): | Theor. & Comp. |

Subject area: | Condensed Matter Physics - Computational |

### Abstract

The properties of ground state of spin-$\frac{1}{2}$ kagome antiferromagnetic Heisenberg (KAFH) model have attracted considerable interest in the past few decades, and recent numerical simulations reported a spin liquid phase. The nature of the spin liquid phase remains unclear. For instance, the interplay between symmetries and $Z_2$ topological order leads to different types of $Z_2$ spin liquid phases. In this paper, we develop a numerical simulation method based on symmetric projected entangled-pair states (PEPS), which is generally applicable to strongly correlated model systems in two spatial dimensions. We then apply this method to study the nature of the ground state of the KAFH model. Our results are consistent with that the ground state is a $U(1)$ Dirac spin liquid rather than a $Z_2$ spin liquid.

###### Current status:

### Ontology / Topics

See full Ontology or Topics database.### Author comments upon resubmission

### List of changes

1. add fitting parameters on Fig. 4

2. add another appendix performing robustness analysis.