Jordan-Wigner transformation constructed for spinful fermions at spin-1/2 in two dimensions
Zsolt Gulacsi
TL;DR
This paper generalizes the Jordan-Wigner transformation for spinful fermions from one dimension to two dimensions, enabling new ways to analyze two-dimensional quantum spin systems.
Contribution
The paper introduces a novel exact Jordan-Wigner transformation for spinful fermions in two dimensions, extending previous one-dimensional formulations.
Findings
Provides a mathematical framework for 2D spinful fermions
Enables analysis of 2D quantum spin models
Extends the applicability of Jordan-Wigner transformation
Abstract
Recently a Jordan-Wigner transformation was constructed for spinful fermions at S=1/2 spins in one dimension connecting the spin-1/2 operators to genuine spinful canonical Fermi operators. In the presented paper this exact transformation is generalized to two dimensions.
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Taxonomy
TopicsCrystallography and Radiation Phenomena · Advanced NMR Techniques and Applications · Atomic and Subatomic Physics Research