Transient Response of the Fermi Gas—the X-ray and Kondo Problems

Bei Xu, Shoufa Sun, Qiang Gu

Christophe Mora

Sebastian Doniach, E. H. Sondheimer

Lattice dynamics in the harmonic approximation lattice dynamics at finite tempertature the Fenyman-Dyson expansion the scattering of fermions by a localized pertubation electrons in the presence of many impurities - the theory of electrical resistance in metals the interacting electron gas the magnetic instability of the interacting electron gas interacting electrons in the atomic limit transient response of the fermi gas - the X-ray and Kondo problems conventional superconductivity electron correlations and heavy fermions high Tc superconductivity.

Jagdish Prasad Singh

Thierry Giamarchi

This chapter looks at less usual realizations of Luttinger liquids than the ones coming from fermionic systems. The first realization is provided by interacting bosons. Indeed, in one dimension it is impossible to decouple completely the statistics from the interactions, and one- and quasi-one-dimensional bosons are also described by Luttinger liquids. The discussion shows how the techniques used to tackle one dimension can be used in higher dimensions as well. An important class of problems examined in this chapter is the case of impurities coupled with a three-dimensional electron gas. Josephson junction arrays and Bose condensates are also considered, along with X-ray, Kondo, and multi-channel Kondo problems. Applications of bosonization to the study of quantum impurities in three-dimensional Fermi liquids are analyzed.

Barbara Jones, C. M. Varma

The problem of two magnetic moments in a Fermi gas is studied with the numerical renormalization group used by Wilson for the Kondo problem. Even when the interaction energy of the moments is much smaller than the Kondo energy, the asymptotic low-temperature behavior is that of a correlated Kondo effect. An effective Hamiltonian for the low-temperature properties, which are nonuniversal, is deduced.