On the simplest scale invariant tree-tensor-states preserving the quantum symmetries of the antiferromagnetic XXZ chain
Résumé
For the line of critical antiferromagnetic XXZ chains with coupling J > 0 and anisotropy $0 < \Delta \le 1$ , we describe how the block-spin renormalization procedure preserving the $SU_q$(2) symmetry introduced by Martin-Delgado and Sierra (1996 Phys. Rev. Lett. 76 1146) can be reformulated as the translation-invariant scale-invariant tree-tensor-state of the smallest dimension that is compatible with the quantum symmetries of the model. The properties of this tree-tensor-state are studied in detail via the ground-state energy, the magnetizations and the staggered magnetizations, as well as the Shannon–Renyi entropies characterizing the multifractality of the components of the wave function.
Domaines
Physique mathématique [math-ph]
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