自旋-1/2算符精确映射到存在于两个带中的旋正则费米算符

IF 1.7 4区物理与天体物理 Q3 PHYSICS, CONDENSED MATTER

The European Physical Journal B Pub Date : 2025-07-01 DOI:10.1140/epjb/s10051-025-00984-5

Zsolt Gulacsi

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引用次数: 0

摘要

最近，量子自旋- 1/2自旋算符不仅可以在无自旋中精确变换，而且可以在一维[1]和二维[2]中精确变换。在本文中，使用基于扩展Jordan-Wigner变换的相同技术，我们证明了在一维中，量子自旋-1/2算符也可以在属于两个带的自旋-1/2费米子的自旋正则费米算符中精确变换。

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

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.

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