Some ground-state expectation values for the free parafermion Z(N) spin chain
Statistical Mechanics
2020-03-10 v3 Strongly Correlated Electrons
Mathematical Physics
math.MP
Quantum Physics
Abstract
We consider the calculation of ground-state expectation values for the non-Hermitian Z(N) spin chain described by free parafermions. For N=2 the model reduces to the quantum Ising chain in a transverse field with open boundary conditions. Use is made of the Hellmann-Feynman theorem to obtain exact results for particular single site and nearest-neighbour ground-state expectation values for general N which are valid for sites deep inside the chain. These results are tested numerically for N=3, along with how they change as a function of distance from the boundary.
Keywords
Cite
@article{arxiv.1905.08384,
title = {Some ground-state expectation values for the free parafermion Z(N) spin chain},
author = {Zi-Zhong Liu and Robert A. Henry and Murray T. Batchelor and Huan-Qiang Zhou},
journal= {arXiv preprint arXiv:1905.08384},
year = {2020}
}
Comments
17 pages, 4 figures; extra references