Renormalization for quantum systems: Generalized block transformations in the large-L limit

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10 Citations (Scopus)

Abstract

The renormalization-group (RG) transformation for the one-dimensional quantum Ising model has been performed exactly for two different block transformations with arbitrary size of the block (L). The recursion equations have been generalized in the large-L limit for other models using finite-size scaling ideas. We show that the success of the real-space RG method for the quantum Ising model is accidental. For other models the RG transformation generally mixes up the surface and bulk properties of the model such that strong block-size corrections appear.

Original languageEnglish
Pages (from-to)58-61
Number of pages4
JournalPhysical Review B
Volume48
Issue number1
DOIs
Publication statusPublished - Jan 1 1993

ASJC Scopus subject areas

  • Condensed Matter Physics

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