2017/07/20 by Heinz–Jürgen Schmidt, Schmidt, Heinz-Jürgen
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Other Condensed Matter (cond-mat.other) #Quantum chaos and dynamical systems #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.1707.06512
openalex publication_date 2017/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the theory of ground states of classical Heisenberg spin systems published previously by a closer investigation of the convex Gram set of N spins. This is relevant for the present purpose since the set of ground states of a given spin system corresponds to a face of Gram set. The investigation of the Gram set is facilitated by the determination of its symmetry group. The case of the general spin triangle is completely solved and illustrated by a couple of examples.