Luttinger liquids, Fermi liquids, and fractional statistics

Fermi Liquids and Luttinger Liquids

Coherence-Incoherence Transition Between Fermi and Luttinger liquids

We consider conditions for existence of fermionic quasiparticles in a strongly anisotropic quasi-one-dimensional metal. The adopted model is a model of chains of spin-1/2 Luttinger liquid coupled by small interchain hopping. We determine sufficient conditions for a formation of the quasi-particle pole in the single-electron Green’s function. It is shown that the Luttinger liquid becomes more st...

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...

4 A ug 1 99 8 Fermi liquids and Luttinger liquids

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...