## SciPost Submission Page

# Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons

### by Yong Hao Gao, Gang Chen

### Submission summary

As Contributors: | Gang Chen |

Arxiv Link: | https://arxiv.org/abs/1901.01522v2 |

Date submitted: | 2019-11-11 |

Submitted by: | Chen, Gang |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Condensed Matter Physics - Theory |

Approach: | Theoretical |

### Abstract

We study the origin of Lorentz force on the spinons in a U(1) spin liquid. We are inspired by the previous observation of gauge field correlation in the pairwise spin correlation using the neutron scattering measurement when the Dzyaloshinskii-Moriya interaction intertwines with the lattice geometry. We extend this observation to the Lorentz force that exerts on the (neutral) spinons. The external magnetic field, that polarizes the spins, effectively generates an internal U(1) gauge flux for the spinons and twists the spinon motion through the Dzyaloshinskii-Moriya interaction. Such a mechanism for the emergent Lorentz force differs fundamentally from the induction of the internal U(1) gauge flux in the weak Mott insulating regime from the charge fluctuations. We apply this understanding to the specific case of spinon metals on the kagome lattice. Our suggestion of emergent Lorentz force generation and the resulting topological thermal Hall effect may apply broadly to other non-centrosymmetric spin liquids with Dzyaloshinskii-Moriya interaction. We discuss the relevance with the thermal Hall transport in kagome materials volborthite and kapellasite.

###### Current status:

### Author comments upon resubmission

Since the Editor-in-charge of our recent Submission to SciPost, "Topological thermal Hall effect for topological excitations in spin" liquid: Emergent Lorentz force on the spinons" has formulated an Editorial Recommendation, asking for a minor revision. We have followed this suggestion and revised our manuscript accordingly.

Sincerely,

Gang Chen

### List of changes

1. We have explicitly cited Ref 35 in the abstract of the manuscript. This is to follow the suggestion of the referee.

2. We have added a section in the appendix to compare the difference between the weak Mott insulating spin liquid and our mechanism for the strong Mott insulator.

3. On Page 3 of the main text, we have added the explanation of the choice of "topological thermal hall effect" in this work, and also added the citation to other references.

4. On Page 5 of the main text, we have added the referring to the supplementary materials about the comparison with weak Mott insulating spin liquids.