Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations
Statistical Mechanics
2019-02-20 v1 Strongly Correlated Electrons
Abstract
The honeycomb lattice Kitaev model H_{K} with two kinds of Wen-Toric-code four-body interactions H_{WT} is investigated exactly using a new fermionization method, and the ground state phase diagram is obtained. Six kinds of three-body interactions are also considered. A Hamiltonian equivalent to the honeycomb lattice Kitaev model is also introduced. The fermionization method is generalized to two-dimensional systems, and the two-dimensional Jordan-Wigner transformation is obtained as a special case of this formula. The model H_{K}+H_{WT} is symmetric in four-dimensional space of coupling constants, and the anyon type excitations appear in each phase.
Keywords
Cite
@article{arxiv.1901.04117,
title = {Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations},
author = {Kazuhiko Minami},
journal= {arXiv preprint arXiv:1901.04117},
year = {2019}
}
Comments
23 pages, 10 figures