Regensburg 2022 – scientific programme
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MA: Fachverband Magnetismus
MA 16: Frustrated Magnets
MA 16.4: Talk
Tuesday, September 6, 2022, 15:45–16:00, H37
An Exact Chiral Amorphous Spin Liquid — •Peru d'Ornellas1, Tom Hodson1, Gino Cassella1, Johannes Knolle1,2,3, and Willian Natori4 — 1Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom — 2Department of Physics TQM, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany — 3Munich Center for Quantum Science and Technology (MCQST), 80799 Munich, Germany — 4Institut Laue-Langevin, BP 156, 41 Avenue des Martyrs, 38042 Grenoble Cedex 9, France
The conventional wisdom has been that amorphous lattice structure would provide an obstacle to the formation of a long-range entangled ground states because of the inherent geometric disorder. Recently, symmetry protected topological phases have been proposed in non-interacting amorphous systems, raising the question of whether it is possible to construct a topologically ordered quantum many-body phase on an amorphous lattice. Here we provide such an example. We extend the Kitaev honeycomb Hamiltonian to amorphous lattices, constructed using the Voronoi method on a set of random points. The resulting model retains its exact solubility, displaying Abelian as well as a non-Abelian quantum spin liquid phases. However, the presence of plaquettes with an odd number of sides leads to a spontaneous breaking of time reversal symmetry, opening a gap in the non-Abelian phase. Furthermore, we show that the system undergoes a finite-temperature phase transition to a conducting thermal metal state. Possible experimental realisations in metal-organic frameworks are discussed.