Exact matrix product states at the quantum Lifshitz tricritical point in a spin-1/2 zigzag-chain antiferromagnet with anisotropic $Γ$-term
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913454391033856 |
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| author | Saito, Hidehiro Hotta, Chisa |
| author_facet | Saito, Hidehiro Hotta, Chisa |
| contents | Quantum anisotropic exchange interactions in magnets can induce competitions between phases in a different manner from those typically driven by geometrically frustrated interactions. We study a one-dimensional spin-1/2 zigzag chain with such an interaction, $Γ$-term, in conjunction with the Heisenberg interactions. We find a ground state phase diagram featuring a multicritical point where five phases converge: a uniform ferromagnet, two antiferromagnets, Tomonaga-Luttinger liquid and a dimer-singlet coexisting with nematic order. This multicritical point is simultaneously quantum tricritical and Lifshitz, and most remarkably, it hosts multi-degenerate ground state wave functions, whose exact form is obtained in the matrix product form and its degeneracy increases in squares of system size. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_06551 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact matrix product states at the quantum Lifshitz tricritical point in a spin-1/2 zigzag-chain antiferromagnet with anisotropic $Γ$-term Saito, Hidehiro Hotta, Chisa Strongly Correlated Electrons Materials Science Quantum anisotropic exchange interactions in magnets can induce competitions between phases in a different manner from those typically driven by geometrically frustrated interactions. We study a one-dimensional spin-1/2 zigzag chain with such an interaction, $Γ$-term, in conjunction with the Heisenberg interactions. We find a ground state phase diagram featuring a multicritical point where five phases converge: a uniform ferromagnet, two antiferromagnets, Tomonaga-Luttinger liquid and a dimer-singlet coexisting with nematic order. This multicritical point is simultaneously quantum tricritical and Lifshitz, and most remarkably, it hosts multi-degenerate ground state wave functions, whose exact form is obtained in the matrix product form and its degeneracy increases in squares of system size. |
| title | Exact matrix product states at the quantum Lifshitz tricritical point in a spin-1/2 zigzag-chain antiferromagnet with anisotropic $Γ$-term |
| topic | Strongly Correlated Electrons Materials Science |
| url | https://arxiv.org/abs/2401.06551 |