arXiv:cond-mat/0007018 · Journal of Physics A Mathematical and General

Connection between the slave-particle andx-operator path-integral representations. A new perturbative approach

A. Foussats, A. Greco, C. Repetto, Oscar P. Zandron, O. P. Zandron

Published Aug 10, 2000• 15 citations

Abstract

In this paper it is shown that the family of first-order Lagrangians for the t - J model and the corresponding correlation-generating functional previously found can be exactly mapped into the slave-fermion decoupled representation. Next, by means of the Faddeev-Jackiw symplectic method, a different family of Lagrangians is constructed and it is shown how the corresponding correlation-generating functional can be mapped into the slave-boson representation. Finally, in order to define the propagation of fermion modes we discuss two alternative ways to treat the fermionic sector in the path-integral formalism for the t - J model.

DOI: 10.1088/0305-4470/33/33/305

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