English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, we present the exact solution to a one-dimensional,two-component, quantum many-body system in which like particles interact with apair potential $s(s+1)/{\rm sinh}^{2}(r)$, while unlike particles interact witha pair potential $-s(s+1)/{\rm cosh}^{2}(r)$. We first give a proof ofintegrability, then derive the coupled equations determining the completespectrum. All singularities occur in the ground state when there are equalnumbers of the two components; we give explicit results for the ground stateand low-lying states in this case. For $s>0$, the system is anantiferromagnet/insulator, with excitations consisting of a pair-hole--paircontinuum, a two-particle continuum with gap, and excitons with gaps. For$-1<s<0$, the system has excitations consisting of a hole-particle continuum,and a two-spin wave continuum, both gap-less.Comment: 14 pages (+ 3 graphs available upon request), ReVTeX 3.0,  UoU-rar-9300

Exciton, spinon, and spin wave modes in a soluble one-dimensional many-body system