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• W2435581212 abstract "The two-dimensional Affleck-Kennedy-Lieb-Tasaki (AKLT) model on a honeycomb lattice has been shown to be a universal resource for quantum computation. In this valence bond solid, however, the spin interactions involve higher powers of the Heisenberg coupling $({stackrel{ensuremath{rightarrow}}{S}}_{i}ifmmodecdotelsetextperiodcenteredfi{}{stackrel{ensuremath{rightarrow}}{S}}_{j}{)}^{n}$, making these states seemingly unrealistic on bipartite lattices, where one expects a simple antiferromagnetic order. We show that those interactions can be generated by orbital physics in multiorbital Mott insulators. We focus on ${t}_{2g}$ electrons on the honeycomb lattice and propose a physical realization of the spin-$3/2$ AKLT state. We find a phase transition from the AKLT to the N'eel state on increasing Hund's rule coupling, which is confirmed by density matrix renormalization group simulations. An experimental signature of the AKLT state consists of protected, free $S=1/2$ spins on lattice vacancies, which may be detected in the spin susceptibility." @default.
• W2435581212 created "2016-06-24" @default.
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• W2435581212 date "2015-06-18" @default.
• W2435581212 modified "2023-10-11" @default.
• W2435581212 title "Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice from<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Orbitals" @default.
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• W2435581212 doi "https://doi.org/10.1103/physrevlett.114.247204" @default.
• W2435581212 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26197004" @default.
• W2435581212 hasPublicationYear "2015" @default.
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