7 papers
Weakly correlated electrons on a square lattice: a renormalization group theory
D. Zanchi, H. J. Schulz
We formulate the exact Wilsonian renormalization group for a system of interacting fermions on a lattice. The flow equations for all vertices of the Wilson effective action are exp…
SO(N) symmetries in the two--chain model of correlated fermions
H. J. Schulz
The two-chain model of correlated fermions, appropriate e.g. for doped spin ladders or carbon nanotubes, is investigated in the weak-interaction limit. It is shown that the model s…
Fermi liquids and Luttinger liquids
H. J. Schulz, G. Cuniberti, P. Pieri
In these lecture notes, the basic physics of Fermi liquids and Luttinger liquids is presented. Fermi liquids are discussed both from a phenomenological viewpoint, in relation to mi…
Transport in a one-dimensional wire connected to leads and proximity effects
I. Safi, H. J. Schulz
We investigate transport through a finite interacting wire connected to noninteracting leads. The conductance of the pure wire is not renormalized by the interactions for any spati…
The metal-insulator transition in one dimension
H. J. Schulz
The low--energy excited states of a system of interacting one--dimensional fermions in a conducting state are collective charge and spin density oscillations. The unusual physical…
Functional Integrals for Correlated Electrons
H. J. Schulz
The application of functional integral methods and the Hubbard--Stratonovich transformation to the Hubbard model is discussed. For the attractive case, using a simple gauge transfo…