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Spin-1/2 operators exactly mapped to spinful canonical Fermi operators present in two bands.

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Title: Spin-1/2 operators exactly mapped to spinful canonical Fermi operators present in two bands.
Authors: Gulacsi, Zsolt1 (AUTHOR) gulacsi@phys.unideb.hu
Source: European Physical Journal B: Condensed Matter. Jul2025, Vol. 98 Issue 7, p1-13. 13p.
Subjects: Quantum operators, Energy bands, Electron spin states, Particle spin
Abstract: 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 [1] and 2D [2] 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. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Spin-1/2 operators exactly mapped to spinful canonical Fermi operators present in two bands.
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  Data: <searchLink fieldCode="AR" term="%22Gulacsi%2C+Zsolt%22">Gulacsi, Zsolt</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> gulacsi@phys.unideb.hu</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+B%3A+Condensed+Matter%22">European Physical Journal B: Condensed Matter</searchLink>. Jul2025, Vol. 98 Issue 7, p1-13. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+operators%22">Quantum operators</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+bands%22">Energy bands</searchLink><br /><searchLink fieldCode="DE" term="%22Electron+spin+states%22">Electron spin states</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+spin%22">Particle spin</searchLink>
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  Label: Abstract
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  Data: 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 [1] and 2D [2] 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1140/epjb/s10051-025-00984-5
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      – Code: eng
        Text: English
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      – SubjectFull: Quantum operators
        Type: general
      – SubjectFull: Energy bands
        Type: general
      – SubjectFull: Electron spin states
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      – SubjectFull: Particle spin
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      – TitleFull: Spin-1/2 operators exactly mapped to spinful canonical Fermi operators present in two bands.
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              M: 07
              Text: Jul2025
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              Y: 2025
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