Semion wave function and energetics in a chiral spin liquid on the Kagome lattice

TL;DR

This paper investigates the properties and excitations of a chiral spin liquid state on the Kagome lattice, revealing detailed energetics and topological features using advanced numerical methods.

Contribution

It introduces explicit matrix-product state representations of low-lying excitations, including semions, in a chiral spin liquid on the Kagome lattice, advancing understanding of its topological phase transition.

Findings

Explicit MPS representations of excitations including semions

Characterization of energetics near topological phase transition

Identification of topologically non-trivial excitations

Abstract

Recent years have seen the discovery of a chiral spin liquid state - a bosonic analogue of a fractional Quantum Hall state first put forward by Kalmeyer and Laughlin in 1987 - in several deformations of the Heisenberg model on the Kagome lattice. Here, we apply state-of-the-art numerical techniques to one such model, where breaking of the time-reversal symmetry drives the system into the chiral phase. Our methods allow us to obtain explicit matrix-product state representations of the low-lying excitations of the chiral spin liquid state, including the topologically non-trivial semionic excitation. We characterize these excitations and study their energetics as the model is tuned towards a topological phase transition.