Renormalization Group Limit of Anderson Models

Limit Cycles in the Renormalization Group

This paper will review the consequences of having limit cycles in the renormalization group. Characteristics such as discrete symmetry invariance and log periodic behavior of observables are expected in systems that exhibit limit cycles in their renormalization group. Some realizations of limit cycles will be explained. Specifically limit cycles in RG flows will be used to explain the Efimov ef...

A functional renormalization group approach to the Anderson impurity model.

We develop a functional renormalization group approach which describes the low-energy single-particle properties of the Anderson impurity model up to intermediate on-site interactions [Formula: see text], where Δ is the hybridization in the wide-band limit. Our method is based on a generalization of a method proposed by Schütz et al (2005 Phys. Rev. B 72 035107), using two independent Hubbard-S...

Renormalization Group Renormalization Group

Renormalization Group Studies of Vertex Models

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...