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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V. N. Karazin Kharkiv National University
2024-06-01
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| Series: | Вісник Харківського національного університету: Серія xімія |
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| Online Access: | https://periodicals.karazin.ua/chemistry/article/view/24534 |
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| author | Victor Tokariev Mariia Fedorenko |
| author_facet | Victor Tokariev Mariia Fedorenko |
| author_sort | Victor Tokariev |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-178e847503b445febac3ec6e8de43e30 |
| institution | Kabale University |
| issn | 2220-637X 2220-6396 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | V. N. Karazin Kharkiv National University |
| record_format | Article |
| series | Вісник Харківського національного університету: Серія xімія |
| spelling | doaj-art-178e847503b445febac3ec6e8de43e302025-01-10T11:27:20ZengV. N. Karazin Kharkiv National UniversityВісник Харківського національного університету: Серія xімія2220-637X2220-63962024-06-0142536110.26565/2220-637X-2024-42-0624534On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropyVictor Tokariev0Mariia Fedorenko1V. N. Karazin Kharkiv National University, 4 Svobody sq., Kharkiv, 61022, UkraineV. N. Karazin Kharkiv National University, 4 Svobody sq., Kharkiv, 61022, UkraineWe 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.https://periodicals.karazin.ua/chemistry/article/view/24534molecular nanomagnetheisenberg modelising modelsingle-ion anisotropyspin wave theory |
| spellingShingle | Victor Tokariev Mariia Fedorenko On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy Вісник Харківського національного університету: Серія xімія molecular nanomagnet heisenberg model ising model single-ion anisotropy spin wave theory |
| title | On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy |
| title_full | On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy |
| title_fullStr | On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy |
| title_full_unstemmed | On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy |
| title_short | On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy |
| title_sort | on structural invariants of energy spectrum of s 1 heisenberg antiferromagnets with single ion anisotropy |
| topic | molecular nanomagnet heisenberg model ising model single-ion anisotropy spin wave theory |
| url | https://periodicals.karazin.ua/chemistry/article/view/24534 |
| work_keys_str_mv | AT victortokariev onstructuralinvariantsofenergyspectrumofs1heisenbergantiferromagnetswithsingleionanisotropy AT mariiafedorenko onstructuralinvariantsofenergyspectrumofs1heisenbergantiferromagnetswithsingleionanisotropy |