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On representation of the t-J model via spin-charge variables

Evgueni Kochetov·Vladimir Yarunin
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Abstract

We show that the t-J Hamiltonian is not in general reduced to H(S,f), where S and f stand for independent ([S,f]=0) SU(2) (spin) generators and spinless fermionic (hole) field, respectively. The proof is based upon an identification of the Hubbard operators with the generators of the su(2|1) superalgebra in the degenerate fundamental representation and ensuing SU(2|1) path integral representation of the partition function.

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Evgueni Kochetov, Vladimir Yarunin. 1997-01-30. On representation of the t-J model via spin-charge variables. https://doi.org/10.1103/physrevb.56.2703

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