Finite Size Analysis of Luttinger Liquids with a Source of2kfScattering

Fermi Liquids and Luttinger Liquids

Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities

In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be treated very efficiently with the functional renormalization group (fRG), describing the gradual evolution from a microscopic model Hamiltonian to the effective lo...

Fractons and Luttinger liquids

We consider the concept of fractons as particles or quasiparticles which obey a specific fractal statistics in connection with a one-dimensional Luttinger liquid theory. We obtain a dual statistics parameter ν̃ = ν+1 which is identified with the controlling parameter e−2φ of the Luttinger model. In this way, a bosonic system characterized by a fractal index if [h] = if [2] = 1 is considered as a...

Ferromagnetic Luttinger liquids

We study weak itinerant ferromagnetism in one-dimensional Fermi systems using perturbation theory and bosonization. We find that longitudinal spin fluctuations propagate ballistically with velocity vm!vF , where vF is the Fermi velocity. This leads to a large anomalous dimension in the spin channel and strong algebraic singularities in the single-particle spectral function and in the transverse...

Transport in Luttinger Liquids

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some important results on tunneling through barriers in a one-dimensional quantum wire and the phenomena of persistent currents in mesoscopic rings. We give a brief desc...