1993/04/20 by Bill Sutherland, Rudolf A. Römer, Rudolf A. R"omer
Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Exciton #Gravitational singularity #Ground state #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pair potential #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Spinon #Wave function #cond-mat
paper · pdf · doi:10.1103/physrevlett.71.2789
14 pages (+ 3 graphs available upon request), ReVTeX 3.0, UoU-rar-93002
arxiv created 1993/04/20 · openalex publication_date 1993/10/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we present the exact solution (in the thermodynamic limit) to a one-dimensional, two-component, quantum many-body system in which like particles interact with a pair potential s(s+1)/sinh2(r), while unlike particles interact with a pair potential -s(s+1)/cosh2(r). We first give a proof of integrability, then derive the coupled equations determining the complete spectrum. All singularities occur in the ground state when there are equal numbers of the two components; we give explicit results for the ground state and low-lying states in this case.