AKLT Models with Quantum Spin Glass Ground States

Details AKLT Models with Quantum Spin Glass Ground States AKLT Models with Quantum Spin Glass Ground States

2010-02-24

arxiv.org/abs/1002.4593v1

Phys. Rev. B 81, 174204 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 1 figure

Scientific paper

10.1103/PhysRevB.81.174204

We study AKLT models on locally tree-like lattices of fixed connectivity and find that they exhibit a variety of ground states depending upon the spin, coordination and global (graph) topology. We find a) quantum paramagnetic or valence bond solid ground states, b) critical and ordered N\'eel states on bipartite infinite Cayley trees and c) critical and ordered quantum vector spin glass states on random graphs of fixed connectivity. We argue, in consonance with a previous analysis, that all phases are characterized by gaps to local excitations. The spin glass states we report arise from random long ranged loops which frustrate N\'eel ordering despite the lack of randomness in the coupling strengths.

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