Geodesic
Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 3, pp. 382-389 Cet article a éte moissonné depuis la source Math-Net.Ru

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Integral equations are obtained for the ground-state energy $E_0$ and the spectrum of quasihomeopolar excitations $\varepsilon(q)$ in a one-dimensional system of spinless fermions with repulsion at neighboring sites. The fermion density $c$ and the dimensionless coupling constant $\rho=\gamma/2\beta$ vary in the ranges $0\leqslant c\leqslant 1/2$, $0<\rho<\infty$. It is found that the homeopolar excitations have an end point of their spectrum $\varepsilon(\pm2k_F)=0$ $(k_F=\pi c)$ and are symmetric about $k_F$: $\varepsilon(q)=\varepsilon(2\pi c-q)$. Asymptotic expansions for $E_0$ and $\varepsilon(q)$ as $\rho\to\infty$ are obtained. A possible connection between the zeros of $\varepsilon(q)$ and the breaking of translational symmetry of the lattice with respect to the formation of a superlattice with period $(2k_F)^{-1}$ is discussed. 
@article{TMF_1978_37_3_a8,
     author = {A. A. Ovchinnikov and V. A. Onischuk},
     title = {Homeopolar excitations in a~one-dimensional system of spinless fermions with nonlocal interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {382--389},
     year = {1978},
     volume = {37},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_3_a8/}
}
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A. A. Ovchinnikov; V. A. Onischuk. Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 3, pp. 382-389. http://geodesic.mathdoc.fr/item/TMF_1978_37_3_a8/

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