Three-dimensional unfrustrated and frustrated quantum Heisenberg magnets. Specific heat study
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| Format: | Preprint |
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2025
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| _version_ | 1866912792696586240 |
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| author | Krokhmalskii, T. Hutak, T. Derzhko, O. |
| author_facet | Krokhmalskii, T. Hutak, T. Derzhko, O. |
| contents | We examine the $S=1/2$ Heisenberg magnet on four three-dimensional lattices - simple-cubic, diamond, pyrochlore, and hyperkagome ones - for ferromagnetic and antiferromagnetic signs of the exchange interaction in order to illustrate the effect of lattice geometry on the finite-temperature thermodynamic properties with a focus on the specific heat $c(T)$. To this end, we use quantum Monte Carlo simulations or high-temperature expansion series complemented with the entropy method. We also discuss a recent proposal about hidden energy scale in geometrically frustrated magnets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17016 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-dimensional unfrustrated and frustrated quantum Heisenberg magnets. Specific heat study Krokhmalskii, T. Hutak, T. Derzhko, O. Strongly Correlated Electrons Statistical Mechanics We examine the $S=1/2$ Heisenberg magnet on four three-dimensional lattices - simple-cubic, diamond, pyrochlore, and hyperkagome ones - for ferromagnetic and antiferromagnetic signs of the exchange interaction in order to illustrate the effect of lattice geometry on the finite-temperature thermodynamic properties with a focus on the specific heat $c(T)$. To this end, we use quantum Monte Carlo simulations or high-temperature expansion series complemented with the entropy method. We also discuss a recent proposal about hidden energy scale in geometrically frustrated magnets. |
| title | Three-dimensional unfrustrated and frustrated quantum Heisenberg magnets. Specific heat study |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2508.17016 |