Field theories of conformal and compressible states of matter are derived from lattice Hubbard models. Summer School on Applications of String Theory Institute for Nuclear Theory, Seattle July 18-20, 2011

Using as an example the simplest case of a hydrogen molecule, the basis of the highly oversimplified Hubbard model is presented. This model attempts to understand the physics of both insulating and metallic systems in a unified picture, especially those metallic systems which include transition metals. The results of the analysis are compared with those obtained from independent electrons (delo...

We present results on thermodynamic quantities, resistivity and optical conductivity for the Hubbard model on a simple hypercubic lattice in infinite dimensions. Our results for the paramagnetic phase display the features expected from an intuitive analysis of the one-particle spectra and substantiate the similarity of the physics of the Hubbard model to those of heavy fermion systems. The calc...