Fermion-Spin Transformation to Implement the Charge-Spin Separation
摘要
A novel approach, the fermion-spin transformation to implement the charge-spin separation, is developed to study the low-dimensional - model. In this approach, the charge and spin degrees of freedom of the physical electron are separated, and the charge degree of freedom is represented by a spinless fermion while the spin degree of freedom is represented by a {\it hard-core boson}. The on-site local constraint for single occupancy is satisfied even in the mean-field approximation and the sum rule for the physical electron is obeyed. This approach can be applied to both one and two-dimensional systems. In the one-dimensional case, the spinon as well as the physical electron behaves like Luttinger liquids. We have obtained a gapless charge and spin excitation spectrum, a good ground state energy, and a reasonable electron-momentum distribution within the mean-field approximation. The correct exponents of the correlation functions and momentum distribution are also obtained if the {\it squeezing} effect and rearrangement of the spin configurations are taken into account. In the two-dimensional case, within the mean-field approximation the magnetized flux state with a gap in the spinon spectrum has the lowest energy at half-filling. The antiferromagnetic long-range order is destroyed by hole doping
引用
@article{arxiv.cond-mat/9311002,
title = {Fermion-Spin Transformation to Implement the Charge-Spin Separation},
author = {Shiping Feng and Z. B. Su and L. Yu},
journal= {arXiv preprint arXiv:cond-mat/9311002},
year = {2009}
}
备注
REVTEX (42 pages, eight figures upon request), International Centre for Theoretical Physics preprint IC/93/354 (accepted for publication in Physical Review B)