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Bulletin of the American Physical Society

Dynamical Structure Factor of Z2 Topological Spin Liquid

Guang Yu Sun, Yan-Cheng Wang, Chen Fang, Meng Cheng, Yang Qi, Zi Yang Meng

Published Mar 7, 2018• 0 citations
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Fermionic parton theory of Rydberg Z2{{\mathbb{Z}}}_{2}Z2​ quantum spin liquids
Abstract Programmable quantum simulators based on neutral atom arrays today offer powerful platforms for studying strongly correlated phases of quantum matter. Here, we employ the projective symmetry group framework to describe the symmetry fractionalization patterns in a topologically ordered Z2{{\mathbb{Z}}}_{2}Z2​ Z 2 quantum spin liquid (QSL) synthesized in such a Rydberg array on the ruby lattice. By systematically comparing the static structure factors of all possible mean-field Ansätze against density-matrix renormalization group calculations, we identify a promising candidate for the precise Z2{{\mathbb{Z}}}_{2}Z2​ Z 2 QSL realized microscopically. We also present detailed analyses of the dynamical structure factors as a reference for future experiments and showcase how these spin correlations can differentiate between varied QSL Ansätze .
The authors of a recent paper evidently take the view that the whole of progress made toward a theoretical understanding of the physics of quantum spin liquids (QSL) is associated with models of the kind proposed and applied in their present work. As motivation for this work, they observe that in contrast to existing theoretical models of both gapped and gapless spin liquids, which give rise to sharp dispersive features in the dynamic structure factor, the measured dynamic structure factor reveals an excitation continuum that is remarkably flat as a function of frequency. They go on to assert that "so far, the only theoretical model for a spin liquid state on the kagome lattice which naturally gives rise to a flat excitation band at low energies consists of the Z2Z_2Z2​ spin liquids". Here we point out that there already exists a different and demonstrably successful approach to the QSL problem that does naturally feature a flat band.