BCS-type mean-field theory for t-J model in su(2|1) superalgebra representation
Evgueny Kochetov, Marcin Mierzejewski
Abstract
A simple version of the Bardeen-Cooper-Schrieffer (BCS)-type mean-field theory for the t-J model is developed. The present approach rigorously treats the constraint of no doubly occupied states and invokes two local order parameters to implement spontaneous breaking of the global U(1)× U(1) symmetry. This is achieved by identifying the Hubbard operators with generators of the su(2|1) superalgebra in the fundamental representation and employing the CP1|1 parameterization for dynamical variables. As a result, an improved phase diagram Tc(δ) in the paramagnetic phase is obtained.
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