One-dimensional fermions with {delta}-function repulsion in the Brueckner theory
- Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, 141980 (Russia)
The single-particle energies for a one-dimensional system of interacting fermions via a repulsive {delta}-function potential are self-consistently calculated using the Brueckner and Gammel method. The breakdown of the usual Fermi liquid picture is signaled in this approach by the occurrence of a negative gap at {plus_minus}k{sub F} between the lowest energy of a particle state ({vert_bar}k{vert_bar}{gt}k{sub F}) and the highest energy of a hole state ({vert_bar}k{vert_bar}{lt}k{sub F}); a normal ground-state configuration with all the hole states double occupied is thus unstable. Two possible pictures getting account of the rearrangement of the particles in a stable configuration are discussed: (1) an effective potential simulating a normal Fermi liquid behavior; (2) a condensate of fermions and a reduced Fermi sea normally occupied. The ground-state energy computed within these schemes is in remarkable agreement with the Bethe-Ansatz results for all values of the model parameters. {copyright} {ital 1996} {ital The American Physical Society}
- OSTI ID:
- 450336
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 55, Issue 4; Other Information: PBD: Jan 1997
- Country of Publication:
- United States
- Language:
- English
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