Linear response functions of a quasi-one-dimensional electron gas

B. Tanatar

Gabriele F. Giuliani, Giovanni Vignale

1. Introduction to the electron liquid 2. The Hartree-Fock approximation 3. Linear response theory 4. Linear response of independent electrons 5. Linear response of an interacting electron liquid 6. The perturbative calculation of linear response functions 7. Density functional theory 8. The normal Fermi liquid 9. The one-dimensional electron gas and the Luttinger liquid 10. The two-dimensional electron gas at high magnetic field.

C. Bourbonnais, Laurent G. Caron

We review the recent progress made in the application of the renormalization group method to the interacting quasi-one-dimensional electron gas. From the functional integral formulation of the partition function as expressed in terms of anticommuting Grassmann variables, the effects of single-electron interchain hopping on the mechanisms of propagation of correlations leading to long range ordering is analyzed in full details for the non-half-filled band case. Within a unified formalism, the scaling features of the purely one-dimensional correlations, the dimensionality crossover of both single and composite particles, the critical temperatures, and the responses functions are described.

Minoru Takahashi

W. Hansen, D. Schmerek, Chr. Steinebach