Numerical linked-cluster approach to quantum lattice models

Marcos Rigol, Tyler Bryant, Rajiv R.P. Singh

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87 Scopus citations

Abstract

We present a novel algorithm that allows one to obtain temperature dependent properties of quantum lattice models in the thermodynamic limit from exact diagonalization of small clusters. Our numerical linked-cluster approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. Unlike high temperature expansions, which have a finite radius of convergence in inverse temperature, these calculations are accurate at all temperatures provided the range of correlations is finite. We illustrate the power of our approach studying spin models on kagomé, triangular, and square lattices.

Original languageEnglish (US)
Article number187202
JournalPhysical review letters
Volume97
Issue number18
DOIs
StatePublished - 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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