Higher-dimensional Jordan-Wigner Transformation and Auxiliary Majorana Fermions
Strongly Correlated Electrons
2022-09-21 v2
Abstract
We discuss a scheme for performing Jordan-Wigner transformation for various lattice fermion systems in two and three dimensions which keeps internal and spatial symmetries manifest. The correspondence between fermionic and bosonic operators is established with the help of auxiliary Majorana fermions. The current construction is applicable to general lattices with even coordination number and an arbitrary number of fermion flavors. The approach is demonstrated on the single-orbital square, triangular and cubic lattices for spin-1/2 fermions. We also discuss the relation to some quantum spin liquid models.
Cite
@article{arxiv.2107.14083,
title = {Higher-dimensional Jordan-Wigner Transformation and Auxiliary Majorana Fermions},
author = {Kangle Li and Hoi Chun Po},
journal= {arXiv preprint arXiv:2107.14083},
year = {2022}
}
Comments
16 pages, 9 figures; modify the appendix A