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Spin-rotation-invariant slave-boson approach to the Hubbard model

1989; American Physical Society; Volume: 40; Issue: 10 Linguagem: Inglês

10.1103/physrevb.40.6817

1095-3795

T. Li, P. Wölfle, P. J. Hirschfeld,

Quantum and electron transport phenomena

We present a slave-boson representation for the Hubbard model, introducing Bose fields for the empty, singly, and doubly occupied sites and show that the boson for the singly occupied site must transform as a tensor of rank two under spin rotations. This generalizes the formulation of Kotliar and Ruckenstein, which is not manifestly spin-rotation invariant. The paramagnetic saddle point of the corresponding functional integral is identical to Gutzwiller's solution. As an illustration of the method, we calculate the ${T}^{3}$lnT spin-fluctuation contribution to the specific heat and find it to be fully consistent with Fermi-liquid theory. We discuss further applications of this approach.