Critical Exponents for the SC-Model in the Zero Sector

Physics – Condensed Matter

Scientific paper

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21 pages (REVTeX 3.0) + 4 figures (upon request), UoU-0040793

Scientific paper

10.1103/PhysRevB.49.6779

In this paper, we continue our investigation of a one-dimensional, two-component, quantum many-body system in which like particles interact with a pair potential $s(s+1)/{\rm sinh}^{2}(r)$, while unlike particles interact with a pair potential $-s(s+1)/{\rm cosh}^{2}(r)$. For an equal number of particles of the two components, the ground state for $s>0$ corresponds to an antiferromagnet/insulator. Excitations consist of a gapless pair-hole--pair continuum, a two-particle continuum with gap and excitons with gap. For $-1

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