Abstract The collective excitations of the particle‐density fluctuations are studied in the one‐dimensional Fermi gas by means of the generator coordinate method. The dispersion relation are obtained both, for the forward and backward scattering interaction. It is shown that for repulsive interaction a gap occurs in the frequency of the backscattering excitations at wavevectors equal to twice the Fermi momentum.

physica status solidi (b)Jan 1, 19814 citations

Excitation spectrum of the one-dimensional Fermi gas with backward scattering

P. Schlottmann

Physical review. B, Solid stateJan 1, 197714 citations

Journal of Experimental and Theoretical Physics

The excitation spectrum of a one-dimensional Fermi Gas

V. Ya. Krivnov, Alexander A. Ovchinnikov

Published Dec 1, 1977• 0 citations

OpenAlex

Related papers

Density Excitation Spectrum of the One-Dimensional Fermi Gas

Marian Apostol, A. Corciovei, S. Stoica

De Gruyter eBooksDec 31, 19810 citations

Free energy and excitation spectrum of a one-dimensional fermi system

H. U. Everts, Hermann Schulz

The European Physical Journal BSep 1, 197516 citations

Collective excitations of a one-dimensional Fermi gas under harmonic confinement

Anna Minguzzi, Patrizia Vignolo, M. L. Chiofalo +1 more

Journal of Low Temperature PhysicsJan 1, 20020 citations

Excitation spectrum and low-temperature thermodynamics of a one-dimensional interacting Fermi system

G. I. Japaridze, A. A. Nersesyan

Physics Letters AMar 1, 198310 citations

Density Excitation Spectrum of the One‐Dimensional Fermi Gas

Marian Apostol, A. Corciovei, S. Stoica

physica status solidi (b)Jan 1, 19814 citations

Excitation spectrum of the one-dimensional Fermi gas with backward scattering

P. Schlottmann

The energy spectrum of the one-dimensional electron gas, solved by Luther and Emery for a particular attractive interaction strength $U$ of the backward scattering across the Fermi surface, has been calculated for small deviations from this particular limit. The energy spectrum shows a gap at the Fermi energy, whose magnitude is very sensitive to the interaction $U$ . The density of states shows a gap at zero temperature, which is smeared out by the quasiparticle lifetime for $T\ensuremath{\ne}0$.The energy spectrum of the one-dimensional electron gas, solved by Luther and Emery for a particular attractive interaction strength $U$ of the backward scattering across the Fermi surface, has been calculated for small deviations from this particular limit. The energy spectrum shows a gap at the Fermi energy, whose magnitude is very sensitive to the interaction $U$. The density of states shows a gap at zero temperature, which is smeared out by the quasiparticle lifetime for $T\ensuremath{\ne}0$.

Physical review. B, Solid stateJan 1, 197714 citations

The energy spectrum of the one-dimensional electron gas, solved by Luther and Emery for a particular attractive interaction strength

U

of the backward scattering across the Fermi surface, has been calculated for small deviations from this particular limit. The energy spectrum shows a gap at the Fermi energy, whose magnitude is very sensitive to the interaction

U

. The density of states shows a gap at zero temperature, which is smeared out by the quasiparticle lifetime for $T\ensuremath{\ne}0$.