Factorization and Criticality in Finite XXZ Systems of Arbitrary Spin
M Cerezo1, R Rossignoli1,2, N Canosa1
1Instituto de Física de La Plata, CONICET, and Departamento de Física, Universidad Nacional de La Plata, C.C. 67, La Plata 1900, Argentina.
Abstract:
We analyze ground state (GS) factorization in general arrays of spins s_{i} with XXZ couplings immersed in nonuniform fields. It is shown that an exceptionally degenerate set of completely separable symmetry-breaking GSs can arise for a wide range of field configurations, at a quantum critical point where all GS magnetization plateaus merge. Such configurations include alternating fields as well as zero-bulk field solutions with edge fields only and intermediate solutions with zero field at specific sites, valid for d-dimensional arrays. The definite magnetization-projected GSs at factorization can be analytically determined and depend only on the exchange anisotropies, exhibiting critical entanglement properties. We also show that some factorization-compatible field configurations may result in field-induced frustration and nontrivial behavior at strong fields.
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