Ground state properties of antiferromagnetic Heisenberg spin rings
arXiv:cond-mat/9910426 · doi:10.1016/S0304-8853(00)00481-9
Abstract
Exact ground state properties of antiferromagnetic Heisenberg spin rings with isotropic next neighbour interaction are presented for various numbers of spin sites and spin quantum numbers. Earlier work by Peierls, Marshall, Lieb, Schultz and Mattis focused on bipartite lattices and is not applicable to rings with an odd number of spins. With the help of exact diagonalization methods we find a more general systematic behaviour which for instance relates the number of spin sites and the individual spin quantum numbers to the degeneracy of the ground state. These numerical findings all comply with rigorous proofs in the cases where a general analysis could be carried out. Therefore it can be plausibly conjectured that the ascertained properties hold for ground states of arbitrary antiferromagnetic Heisenberg spin rings.
13 pages, 5 figures, uses epsfig.sty, submitted to Phys. Rev. B. More information at http://www.physik.uni-osnabrueck.de/makrosysteme/
References in corpus (2)
Cited by in corpus (25)
- Quantum entanglement and Bell inequalities in Heisenberg spin chains
- Effects of frustration on magnetic molecules: a survey from Olivier Kahn till today
- Thermal and ground-state entanglement in Heisenberg XX qubit rings
- Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model
- The Importance of being Odd
- Quantum numbers for relative ground states of antiferromagnetic Heisenberg spin rings
- Discrete antiferromagnetic spin-wave excitations in the giant ferric wheel Fe18
- Entanglement in spin-one Heisenberg chains
- Quantum Theory of Molecular Magnetism
- Unexpected properties of the first excited state of non-bipartite Heisenberg spin rings
- Combined use of translational and spin-rotational invariance for spin systems
- Analytical results for entanglement in the five-qubit anisotropic Heisenberg model
- The ordering of energy levels for SU(n) symmetric antiferromagnetic chains
- Control of entanglement transitions in quantum spin clusters
- Design of Magnetic Textures of Ad-Nanocorrals with an Extra Adatom
- Entanglement in spin-1/2 dimerized Heisenberg systems
- Evolution of the thermodynamic properties and inelastic neutron scattering intensities for spin-1/2 antiferromagnetic quantum rings
- Energy-level ordering and ground-state quantum numbers for frustrated two-leg spin-1/2 ladder model
- Berry phase in the rigid rotor: the emergent physics of odd antiferromagnets
- Magneto- and barocaloric properties of the ferro-antiferromagnetic sawtooth chain
- Discrete symmetries and Lieb-Schultz-Mattis theorem
- Escaping the Krylov space during finite precision Lanczos
- Principal Component Analysis of Diffuse Magnetic Scattering: a Theoretical Study
- Free Energy of the Eight Vertex Model with an Odd Number of Lattice Sites
- Spontaneous continuous-symmetry breaking and tower of states in a comb chain