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

• Published in: arXiv.org
• Main Authors: Cincio, L, Vidal, G, Bauer, B
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 10.06.2015
• Subjects: Deformation; Excitation; Heisenberg theory; Kagome lattice; Phase transitions; Spin liquid; Statistical models

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.