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Pré-Publication, Document De Travail Année : 2018

Quantifying and improving the accuracy of the Matrix Product Operator Renormalization Group of random spin chains

Résumé

A relatively simple real-space renormalization procedure, due to Ma and Dasgupta and known as Strong-Disorder Renormalization Group (SDRG), provides in principle exact results on the critical properties at the infinite-randomness fixed point of random spin chains. Numerically, SDRG can be efficiently implemented as a renormalization of Matrix Product Operators (MPO-RG). By considering larger blocks than SDRG, MPO-RG was recently used to compute non-critical quantities that are inaccessible to SDRG. In this work, we study the accuracy of the approach and propose two simple and fast improvements. We observe that the accuracy on the ground state energy is improved by a factor at least equal to 4.
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Dates et versions

hal-01844898 , version 1 (19-07-2018)
hal-01844898 , version 2 (19-06-2019)

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Christophe Chatelain. Quantifying and improving the accuracy of the Matrix Product Operator Renormalization Group of random spin chains. 2018. ⟨hal-01844898v1⟩
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