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arXiv · 1506.03351

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

L. Cincio·G. Vidal·B. Bauer
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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.

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L. Cincio, G. Vidal, B. Bauer. 2015-06-10. Semion wave function and energetics in a chiral spin liquid on the Kagome lattice. https://arxiv.org/abs/1506.03351

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