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arXiv · 1707.08968

Resilience of hidden order to symmetry-preserving disorder

Marcello Calvanese Strinati·Davide Rossini·Rosario Fazio·Angelo Russomanno
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Abstract

We study the robustness of non-local string order in two paradigmatic disordered spin-chain models, a spin-1/2 cluster-Ising and a spin-1 XXZ Heisenberg chain. In the clean case, they both display a transition from antiferromagnetic to string order. Applying a disorder which preserves the Hamiltonian symmetries, we find that the transition persists in both models. In the disordered cluster-Ising model we can study the transition analytically -- by applying the strongest coupling renormalization group -- and numerically -- by exploiting integrability to study the antiferromagnetic and string order parameters. We map the model into a quadratic fermion chain, where the transition appears as a change in the number of zero-energy edge modes. We also explore its zero-temperature-singularity behavior and find a transition from a non-singular to a singular region, at a point that is different from the one separating non-local and local ordering.} The disordered Heisenberg chain can be treated only numerically: by means of MPS-based simulations, we are able to locate the existence of a transition between antiferromagnetic and string-ordered phase, through the study of order parameters. Finally we discuss possible connections of our findings with many body localization.

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Marcello Calvanese Strinati, Davide Rossini, Rosario Fazio, Angelo Russomanno. 2017-12-22. Resilience of hidden order to symmetry-preserving disorder. https://doi.org/10.1103/physrevb.96.214206

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