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Numerical Linked-Cluster Approach to Quantum Lattice Models

2006/11/03 by Marcos Rigol, Tyler Bryant, Rajiv R. P. Singh · 4 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.97.187202

published as Phys. Rev. Lett. 97, 187202 (2006) · 4 pages, 5 figures, published version

arxiv created 2006/11/03 · openalex publication_date 2006/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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