Numerical Linked-Cluster Approach to Quantum Lattice Models

TL;DR

The paper introduces a Numerical Linked-Cluster (NLC) method that computes temperature-dependent properties of quantum lattice models in the thermodynamic limit using small cluster diagonalizations, effective at all temperatures.

Contribution

The NLC algorithm systematically assesses finite-size effects and extends exact diagonalization to infinite lattices, surpassing the limitations of high temperature expansions.

Findings

Accurately computes thermodynamic properties at all temperatures.

Effectively studies spin models on kagomé, triangular, and square lattices.

Provides a systematic framework for quantum lattice models.

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 (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.