On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy
We study the relationship of the energy spectrum of finite S=1 Heisenberg antiferromagnets with their structure in the presence of single-ion anisotropy. We show that in the limit of strong easy-plane anisotropy magnets with the structure of adjacency cospectral graphs have equal ground state energi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
V. N. Karazin Kharkiv National University
2024-06-01
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| Series: | Вісник Харківського національного університету: Серія xімія |
| Subjects: | |
| Online Access: | https://periodicals.karazin.ua/chemistry/article/view/24534 |
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| Summary: | We study the relationship of the energy spectrum of finite S=1 Heisenberg antiferromagnets with their structure in the presence of single-ion anisotropy. We show that in the limit of strong easy-plane anisotropy magnets with the structure of adjacency cospectral graphs have equal ground state energies with magnetization M=0. We derive additional necessary condition for equality of lowest energy levels with M=±1. For strong easy-axis anisotropy we found that bipartite S=1 magnets with structures, for which S=1/2 Ising models have equal spectra for arbitrary longitudinal magnetic field, have close energy spectra of S=1 antiferromagnets for arbitrary parameter of single-ion anisotropy. For moderate easy-axis anisotropy bipartite S=1 antiferromagnets with equal energies of spin waves in linear approximation are also approximately isoenergetic. Overall, this explains the remarkable similarity of energy spectra in M=0 subspace for S=1 antiferromagnetic Heisenberg model on bipartite cospectral regular graphs. |
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| ISSN: | 2220-637X 2220-6396 |