Cluster-size dependence in cellular dynamical mean-field theory

Dynamical mean-field theory

Dynamical Mean Field and Dynamical Cluster Approximations

We present a pedagogical discussion of the dynamical mean field and dynamical cluster approximations. PACS: ...

Bath optimization in the cellular dynamical mean-field theory

In the cellular dynamical mean-field theory CDMFT , a strongly correlated system is represented by a small cluster of correlated sites, coupled to an adjustable bath of uncorrelated sites simulating the cluster’s environment; the parameters governing the bath are set by a self-consistency condition involving the local Green’s function and the lattice electron dispersion. Solving the cluster pro...

Cluster dynamical mean field theory of the Mott transition.

We address the nature of the Mott transition in the Hubbard model at half-filling using cluster dynamical mean field theory (DMFT). We compare cluster-DMFT results with those of single-site DMFT. We show that inclusion of the short-range correlations on top of the on-site correlations does not change the order of the transition between the paramagnetic metal and the paramagnetic Mott insulator,...

Cellular dynamical mean-field theory of the periodic Anderson model

We develop a cluster dynamical mean-field theory of the periodic Anderson model in three dimensions, taking a cluster of two sites as a basic reference frame. The mean-field theory displays the basic features of the Doniach phase diagram: a paramagnetic Fermi liquid state, an antiferromagnetic state, and a transition between them. In contrast with spin-density wave theories, the transition is a...