Thermodynamic properties of quantum lattice models from numerical linked cluster expansions

We review a recently proposed numerical linked-cluster (NLC) algorithm that allows one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. This approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. We present results for thermodynamic properties of spin and t-Jt-J models in different lattice geometries in two-dimensions. In addition, we present an extrapolation scheme that enables one to accelerate the convergence of NLC.