A Majorana Fermion t-J Model in One Dimension

Details A Majorana Fermion t-J Model in One Dimension A Majorana Fermion t-J Model in One Dimension

1997-07-07

arxiv.org/abs/cond-mat/9707067v1

Physics

Condensed Matter

Strongly Correlated Electrons

29 LaTeX pages, 11 postscript figures

Scientific paper

10.1088/0953-8984/9/38/005

We study a rotation invariant Majorana fermion model in one dimension using diagrammatic perturbation theory and numerical diagonalization of small systems. The model is inspired by a Majorana representation of the antiferromagnetic spin-1/2 chain, and it is similar in form to the t-J model of electrons, except that the Majorana fermions carry spin-1 and Z_2 charge. We discuss the implications of our results for the low-energy excitations of the spin-1/2 chain. We also discuss a generalization of our model from 3 species of Majorana fermions to N species; the SO(4) symmetric model is particularly interesting.

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