ISBN: 3-540-65812-2
TITLE: Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
AUTHOR: Haussmann, Rudolf
TOC:

1. Introduction 1
2. Self-consistent quantum-field theory 7
2.1 Legendre transformation 9
2.2 Perturbation series expansion 12
2.3 Conserving approximations 17
2.4 Two-particle functions and Ward identities 20
3. Superconductivity and pairing of electrons in three dimensions 27
3.1 Derivation of the self-consistent equations for a superfluid Fermi system with s-wave pairing 31
3.2 Discussion of the self-consistent equations, weak- and strong-coupling limit 46
3.3 Numerical results for T = T_c and discussion 61
4. Gauge transformation and bosonization 73
4.1 Conventional bosonization for one- and higher-dimensional fermion systems 76
4.2 Modification of the self-consistent quantum-field theory by gauge transformation 81
4.3 Application to the Luttinger model 101
4.4 Application to the independent-bosonmodel 111
5. Two-dimensional electron systems in the FQHE regime 117
5.1 Theory of the FQHE 118
5.2 General properties of the spectral functions for FQHE systems 128
5.3 Modified SC-RPA theory for the two-dimensional electron system in a homogeneous magnetic field 133
5.4 Electronic excitation spectrum of the partially filled lowest Landau level 143
5.5 Magnetization of FQHE electron systems 153
6. Further applications 161
6.1 Coulomb plasma 161
6.2 Interacting boson systems 164
References 169
Index 173
END
