Dávid Jakab, Gergely Szirmai, Zoltán Zimboras
Published 2017-09-19Version 1
We study the spin-1 bilinear-biquadratic model on the complete graph of N sites, i.e., when each spin is interacting with every other spin with the same strength. Because of its complete permutation invariance, this Hamiltonian can be rewritten as the linear combination of the quadratic Casimir operators of su(3) and su(2). Using group representation theory, we explicitly diagonalize the Hamiltonian and map out the ground-state phase diagram of the model. Furthermore, the complete energy spectrum, with degeneracies, is obtained analytically for any number of sites.
Ground-state phase diagram for a system of interacting, $D(D_3)$ non-Abelian anyons
Ground-State Phase Diagram of Frustrated Antiferromagnetic S=1 Chain with Uniaxial Single-Ion-Type Anisotropy
Logarithmic negativity and ground-state phase diagram of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy
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