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Article Dans Une Revue J.Phys.A Année : 2018

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.
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Dates et versions

hal-01714219 , version 1 (11-01-2024)

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Cécile Monthus. On the simplest scale invariant tree-tensor-states preserving the quantum symmetries of the antiferromagnetic XXZ chain. J.Phys.A, 2018, 51 (9), pp.095301. ⟨10.1088/1751-8121/aaa814⟩. ⟨hal-01714219⟩
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