Abstract
We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network methods based on projected entangled simplex states. The nature of the ground state varies strongly with the spin quantum number . For , it is an algebraic (gapless) quantum spin liquid. For , it is a gapped, nonmagnetic state with spontaneous breaking of triangle symmetry (a trimerized simplex-solid state). For , it is a simplex-solid state with a spin gap and no symmetry breaking; both integer-spin simplex-solid states are characterized by specific degeneracies in the entanglement spectrum. For , and indeed for all spin values , the ground states have antiferromagnetic order. In a finite magnetic field, we find that, irrespective of the value of , there is always a plateau in the magnetization at .
18 More- Received 7 November 2015
- Revised 17 January 2016
DOI:https://doi.org/10.1103/PhysRevB.93.075154
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