Majorana Fermion Representation For An Antiferromagnetic Spin-1/2 Chain

Details Majorana Fermion Representation For An Antiferromagnetic Spin-1/2 Chain Majorana Fermion Representation For An Antiferromagnetic Spin-1/2 Chain

1996-03-28

arxiv.org/abs/cond-mat/9603179v2

Phys. Rev. B 55 (1997) 2988-2994

Physics

Condensed Matter

24 pages in LaTeX, no figures; some clarifications/additions have been made following the referee's comments; to appear in Phy

Scientific paper

10.1103/PhysRevB.55.2988

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.

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