Spin-1/2 operators exactly mapped to spinful canonical Fermi operators present in two bands
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912692488372224 |
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| author | Gulacsi, Zsolt |
| author_facet | Gulacsi, Zsolt |
| contents | Recently it has been shown that the quantum spin-1/2 spin operators can be exactly transformed not only in spinless, but also in spinful canonical Fermi operators in 1D [\cite{JW1}], and 2D [\cite{JW2}] as well. In this paper, using the same technique based on an extended Jordan-Wigner transformation, we show in 1D, that the quantum spin-1/2 operators can be exactly transformed also in spinful canonical Fermi operators of spin-1/2 fermions that are belong to two bands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin-1/2 operators exactly mapped to spinful canonical Fermi operators present in two bands Gulacsi, Zsolt Strongly Correlated Electrons Recently it has been shown that the quantum spin-1/2 spin operators can be exactly transformed not only in spinless, but also in spinful canonical Fermi operators in 1D [\cite{JW1}], and 2D [\cite{JW2}] as well. In this paper, using the same technique based on an extended Jordan-Wigner transformation, we show in 1D, that the quantum spin-1/2 operators can be exactly transformed also in spinful canonical Fermi operators of spin-1/2 fermions that are belong to two bands. |
| title | Spin-1/2 operators exactly mapped to spinful canonical Fermi operators present in two bands |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2506.17734 |