Jordan-Wigner transformation constructed for spinful fermions at spin-1/2 in two dimensions

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.

17 pages, 3 figures

References in corpus (2)

• Observation of a uniaxial strain-induced phase transition in the 2D topological semimetal IrTe${}_2$
• Jordan-Wigner transformation constructed for spinful fermions at S=1/2 spins in one dimension

Cited by in corpus (1)

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