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

### 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.

### Ontology / Topics

See full Ontology or Topics database.

We have made the requested modifications. We list the fitting parameters for energies(exponent) on Fig. 4. We also add an appendix to do robustness analysis for the two zero-flux states. The fitting for zero-flux I phase is more reliable given the almost energy convergence at large D_cut. For zero-flux II phase, we present another fitting scheme, which gives consistent energies at infinite D_cut.

### List of changes

1. add fitting parameters on Fig. 4
2. add another appendix performing robustness analysis.

### Submission & Refereeing History

Resubmission 1610.02024v3 on 12 June 2019
Submission 1610.02024v2 on 24 April 2019