Majorana Fermion Representation For An Antiferromagnetic Spin-1/2 Chain
Condensed Matter
2016-08-31 v2
Abstract
We study the 1-dimensional Heisenberg antiferromagnet with s=1/2 using a Majorana representation of the s=1/2 spins. A simple Hartree-Fock approximation of the resulting model gives a bilinear fermionic description of the model. This description is rotationally invariant and gives power-law correlations in the ``ground state'' in a natural fashion. The excitations are a two-parameter family of particles, which are spin-1 objects. These are contrasted to the ``spinon'' spectrum, and the technical aspects of the representation are discussed, including the problem of redundant states.
Keywords
Cite
@article{arxiv.cond-mat/9603179,
title = {Majorana Fermion Representation For An Antiferromagnetic Spin-1/2 Chain},
author = {B. Sriram Shastry and Diptiman Sen},
journal= {arXiv preprint arXiv:cond-mat/9603179},
year = {2016}
}
Comments
24 pages in LaTeX, no figures; some clarifications/additions have been made following the referee's comments; to appear in Phys. Rev. B