Numerical Linked-Cluster Approach to Quantum Lattice Models

Details Numerical Linked-Cluster Approach to Quantum Lattice Models Numerical Linked-Cluster Approach to Quantum Lattice Models

2006-11-03

arxiv.org/abs/cond-mat/0611102v1

Phys. Rev. Lett. 97, 187202 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures, published version

Scientific paper

10.1103/PhysRevLett.97.187202

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 (NLC) approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. Unlike high temperature expansions (HTE), 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 {\it kagom\'e}, triangular, and square lattices.

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