Renormalization-Group Theory of the Heisenberg Model in d Dimensions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913702211485696 |
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| author | Tunca, Egemen Berker, A. Nihat |
| author_facet | Tunca, Egemen Berker, A. Nihat |
| contents | The classical Heisenberg model has been solved in spatial d dimensins, exactly in d=1 and by the Migdal-Kadanoff approximation in d>1, by using a Fourier-Legendre expansion. The phase transition temperatures, the energy densities, and the specific heats are calculated in arbitrary dimension d. Fisher's exact result is recovered in d=1. The absence of an ordered phase, conventional or algebraic (in contrast to the XY model yielding an algebraically ordered phase), is recovered in d=2. A conventionally ordered phase occurs at d>2. This method opens the way to complex-system calculations with Heisenberg local degrees of freedom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_06049 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Renormalization-Group Theory of the Heisenberg Model in d Dimensions Tunca, Egemen Berker, A. Nihat Statistical Mechanics The classical Heisenberg model has been solved in spatial d dimensins, exactly in d=1 and by the Migdal-Kadanoff approximation in d>1, by using a Fourier-Legendre expansion. The phase transition temperatures, the energy densities, and the specific heats are calculated in arbitrary dimension d. Fisher's exact result is recovered in d=1. The absence of an ordered phase, conventional or algebraic (in contrast to the XY model yielding an algebraically ordered phase), is recovered in d=2. A conventionally ordered phase occurs at d>2. This method opens the way to complex-system calculations with Heisenberg local degrees of freedom. |
| title | Renormalization-Group Theory of the Heisenberg Model in d Dimensions |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2202.06049 |