Fermi surface renormalization in two spatial dimensions

Entanglement renormalization in two spatial dimensions.

We propose and test a scheme for entanglement renormalization capable of addressing large two-dimensional quantum lattice systems. In a translationally invariant system, the cost of simulations grows only as the logarithm of the lattice size; at a quantum critical point, the simulation cost becomes independent of the lattice size and infinite systems can be analyzed. We demonstrate the performa...

Improved Power Counting and Fermi Surface Renormalization *

The naive perturbation expansion for many-fermion systems is infrared divergent. One can remove these divergences by introducing counterterms. To do this without changing the model, one has to solve an inversion equation. We call this procedure Fermi surface renormalization (FSR). Whether or not FSR is possible depends on the regularity properties of the fermion self{energy. When the Fermi surf...

Interacting Fermi liquid in two dimensions at finite temperature Part II: Renormalization

Abstract This is a companion paper to [DR1]. Using the method of continuous renormalization group around the Fermi surface and the results of [DR1], we achieve the proof that a two-dimensional jellium system of interacting Fermions at low temperature T is a Fermi liquid above the BCS temperature Following [S1], this means proving analyticity in the coupling constant λ for |λ|| logT | ≤ K where ...

Fermi Liquids in Two Space Dimensions

Renormalization-group approach to the theory of the Fermi surface.

we describe an approach to the theory of the Fermi surface based on the renormalization group. A notion of quasi particle appears naturally in the theory. The beta function is finite to all orders of perturbation theory and we compute and discuss it to second order. The normality of the Fermi surface is linked to the repulsivity of the quasi particle potential: the remarkable cancellations that...