Collapsing Behavior of the Ferrimagnetic Ground State of the $S=1/2$ Heisenberg Antiferromagnet on the Lieb Lattice due to Frustration
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917803435491328 |
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| author | Furuchi, Rito Nakano, Hiroki Sakai, Tôru |
| author_facet | Furuchi, Rito Nakano, Hiroki Sakai, Tôru |
| contents | We study the $S = 1/2$ Heisenberg antiferromagnet on the Lieb lattice accompanied by additional interactions that create frustration. The system exhibits a ferrimagnetic ground state in the absence of frustration. Further, we successfully observe a novel type of collapsing behavior of the ferrimagnetism via numerical diagonalization. The ferrimagnetic state is observed to collapse in a discontinuous manner. Furthermore, different ground states with small spontaneous magnetizations are obtained before the spontaneous magnetization finally disappears. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Collapsing Behavior of the Ferrimagnetic Ground State of the $S=1/2$ Heisenberg Antiferromagnet on the Lieb Lattice due to Frustration Furuchi, Rito Nakano, Hiroki Sakai, Tôru Strongly Correlated Electrons Materials Science Statistical Mechanics We study the $S = 1/2$ Heisenberg antiferromagnet on the Lieb lattice accompanied by additional interactions that create frustration. The system exhibits a ferrimagnetic ground state in the absence of frustration. Further, we successfully observe a novel type of collapsing behavior of the ferrimagnetism via numerical diagonalization. The ferrimagnetic state is observed to collapse in a discontinuous manner. Furthermore, different ground states with small spontaneous magnetizations are obtained before the spontaneous magnetization finally disappears. |
| title | Collapsing Behavior of the Ferrimagnetic Ground State of the $S=1/2$ Heisenberg Antiferromagnet on the Lieb Lattice due to Frustration |
| topic | Strongly Correlated Electrons Materials Science Statistical Mechanics |
| url | https://arxiv.org/abs/2409.16715 |