2000/04/14 by M. J. Martins, M J Martins, Martins, M. J. +3
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Magnetism in coordination complexes #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0004238
11 pages, latex, one figure
arxiv created 2000/04/14 · openalex publication_date 2000/04/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish exact results for the one-dimensional spin-orbital model for special values of the four-spin interaction V and dimerization parameter δ. The first exact result is at δ=1/2 and V=-2. Because we find a very small but finite gap in this dimerized chain, this can serve as a very strong test case for numerical and approximate analytical techniques. The second result is for the homogeneous chain with V=-4 and gives evidence that the system has a spontaneously dimerized ground state. Numerical results indicate that the interplay between dimerization and interaction could result in gapless phases in the regime 0≤ V