Vacancy induced expansion of spin-liquid regime in J1-J2 Heisenberg model
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| Format: | Preprint |
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2025
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| _version_ | 1866918105520799744 |
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| author | Dash, Soumyaranjan Koley, Anish Kumar, Sanjeev |
| author_facet | Dash, Soumyaranjan Koley, Anish Kumar, Sanjeev |
| contents | We study the model for spin-1/2 J1-J2 Heisenberg antiferromagnets on a square lattice in the presence of spin vacancies. In order to overcome the methodological challenges associated with analyzing models with magnetic frustration and inhomogeneities, we introduce a new semi-classical approach in which singlet dimers are treated as effective classical degrees of freedom. The energetic and entropic aspects of the dimer formation are included via a classical Monte Carlo scheme that allows for the dynamical conversion of spin pairs into dimers and vice versa. We show that our semi-classical approach recovers the qualitative physics of the J1-J2 model in the absence of vacancies. The vacancies lead to a broadening of the spin-liquid regime between the Néel and the stripe antiferromagnetic phases. This suggests a possible new route to discover spin-liquid ground states by tuning the J2/J1 ratio in doped square lattice antiferromagnets. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_20561 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vacancy induced expansion of spin-liquid regime in J1-J2 Heisenberg model Dash, Soumyaranjan Koley, Anish Kumar, Sanjeev Strongly Correlated Electrons We study the model for spin-1/2 J1-J2 Heisenberg antiferromagnets on a square lattice in the presence of spin vacancies. In order to overcome the methodological challenges associated with analyzing models with magnetic frustration and inhomogeneities, we introduce a new semi-classical approach in which singlet dimers are treated as effective classical degrees of freedom. The energetic and entropic aspects of the dimer formation are included via a classical Monte Carlo scheme that allows for the dynamical conversion of spin pairs into dimers and vice versa. We show that our semi-classical approach recovers the qualitative physics of the J1-J2 model in the absence of vacancies. The vacancies lead to a broadening of the spin-liquid regime between the Néel and the stripe antiferromagnetic phases. This suggests a possible new route to discover spin-liquid ground states by tuning the J2/J1 ratio in doped square lattice antiferromagnets. |
| title | Vacancy induced expansion of spin-liquid regime in J1-J2 Heisenberg model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.20561 |