Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.10974 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914016772751360 |
|---|---|
| author | Hutak, Taras |
| author_facet | Hutak, Taras |
| contents | The Heisenberg antiferromagnet on the maple-leaf lattice has recently gathered a great deal of attention. Competition between three nonequivalent bond interactions results in various ground-state quantum phases, the exact dimer-product singlet ground state being among them. The thermodynamic properties of this model are much less understood. We used high-temperature expansion up to the $18$th order to study the thermodynamics of the $S=1/2$ Heisenberg model on the uniform maple-leaf lattice with the ground state exhibiting a six-sublattice $120^{\circ}$ long-range magnetic order. Padé approximants allow us to get reliable results up to the temperatures of about $T\approx 0.4$. To study thermodynamics for arbitrary temperatures, we made the interpolation using the entropy method. Based on the analysis of close Padé approximants, we find ground-state energy $e_{0}=-0.53064\ldots -0.53023$ in good agreement with numerical results. The specific heat $c(T)$ has a typical maximum at rather low temperatures $T\approx0.379$ and the uniform susceptibility $χ(T)$ at $T\approx0.49$. We also estimate the value of $χ(T)$ at zero temperature $χ_{0}\approx0.05\ldots0.06$. The ground-state order manifests itself in the divergence of the so-called generalized Wilson ratio. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10974 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of the $S=1/2$ maple-leaf Heisenberg antiferromagnet Hutak, Taras Strongly Correlated Electrons The Heisenberg antiferromagnet on the maple-leaf lattice has recently gathered a great deal of attention. Competition between three nonequivalent bond interactions results in various ground-state quantum phases, the exact dimer-product singlet ground state being among them. The thermodynamic properties of this model are much less understood. We used high-temperature expansion up to the $18$th order to study the thermodynamics of the $S=1/2$ Heisenberg model on the uniform maple-leaf lattice with the ground state exhibiting a six-sublattice $120^{\circ}$ long-range magnetic order. Padé approximants allow us to get reliable results up to the temperatures of about $T\approx 0.4$. To study thermodynamics for arbitrary temperatures, we made the interpolation using the entropy method. Based on the analysis of close Padé approximants, we find ground-state energy $e_{0}=-0.53064\ldots -0.53023$ in good agreement with numerical results. The specific heat $c(T)$ has a typical maximum at rather low temperatures $T\approx0.379$ and the uniform susceptibility $χ(T)$ at $T\approx0.49$. We also estimate the value of $χ(T)$ at zero temperature $χ_{0}\approx0.05\ldots0.06$. The ground-state order manifests itself in the divergence of the so-called generalized Wilson ratio. |
| title | Thermodynamics of the $S=1/2$ maple-leaf Heisenberg antiferromagnet |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.10974 |