Fermi Liquids and Luttinger Liquids

4 A ug 1 99 8 Fermi liquids and Luttinger liquids

Anomalous BCS equation for a Luttinger superconductor

In the context of the Anderson theory of high Tc cuprates, we develop a BCS theory for Luttinger liquids. If the Luttinger interaction is much stronger than the BCS potential we find that the BCS equation is quite modified compared to usual BCS equation for Fermi liquids. In particular Tc predicted by the BCS equation for Luttinger liquids is quite higher than the usual Tc for Fermi liquids. 1 ...

Single Particle Hopping Between Luttinger Liquids: A Spectral Function Approach

We present a pedagogical account of our approach to the problem of Luttinger liquids coupled by interliquid single particle hopping. It is shown that the key issue is that of coherence/incoherence of interliquid hopping, and not of relevance/irrelevance in a renormalization group sense. A clear signal of coherence, present in the case of coupled Fermi liquids, is absent for Luttinger liquids, a...

Measuring Fractional Charge in Carbon Nanotubes

The Luttinger model of the one-dimensional Fermi gas is the cornerstone of modern understanding of interacting electrons in one dimension. In fact, the enormous class of systems whose universal behavior is adiabatically connected to it are now deemed Luttinger liquids. Recently, it has been shown that metallic single-walled carbon nanotubes are almost perfectly described by the Luttinger Hamilt...

Theoretical modeling for quantum liquids from 1d to 2d dimensional crossover using quantum groups

Recent experimental and theoretical work in strongly correlated electron system necessitates a formulation to deal with 1d to 2d dimensional crossover and raises several interesting questions. A particularly interesting question is what happens to the 1d Luttinger liquid, as we go from 1d to 2d? The issue of dimensional crossover in lower dimensional systems is of great general interest, in par...