On Ising model in magnetic field on the lattice
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908338122391552 |
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| author | Jha, Raghav G. |
| author_facet | Jha, Raghav G. |
| contents | We conjecture an approximate expression for the free energy in the thermodynamic limit of the classical square lattice Ising model in a uniform (real) magnetic field. The zero-field result is well known due to Onsager for more than eighty years, but no such result exists for a nonzero magnetic field on a regular lattice. We verify our conjecture using numerical tensor renormalization group (TRG) methods and find good agreement with a maximum deviation of $\sim2\%$ from the numerical results for the free energy across all $β$ and real magnetic field, $h$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Ising model in magnetic field on the lattice Jha, Raghav G. High Energy Physics - Lattice Statistical Mechanics High Energy Physics - Theory We conjecture an approximate expression for the free energy in the thermodynamic limit of the classical square lattice Ising model in a uniform (real) magnetic field. The zero-field result is well known due to Onsager for more than eighty years, but no such result exists for a nonzero magnetic field on a regular lattice. We verify our conjecture using numerical tensor renormalization group (TRG) methods and find good agreement with a maximum deviation of $\sim2\%$ from the numerical results for the free energy across all $β$ and real magnetic field, $h$. |
| title | On Ising model in magnetic field on the lattice |
| topic | High Energy Physics - Lattice Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.18744 |