A practical scheme for constructing the minimum-weight states of the su(n)-Lipkin model in arbitrary fermion number

Abstract

With the aim of performing an argument supplementary to the previous paper by the present authors [Y. Tsue, C. Providência, J. da Providência, and M.Yamamura, Prog. Theor. Exp. Phys. 2017, 081D01 (2017)], in this paper, a practical scheme for constructing the minimum-weight states of the su(n)-Lipkin model in arbitrary fermion number is discussed. The idea comes from the following two points: (i) consideration of the property of one-fermion transfer induced by the su(n)-generators in the Lipkin model and (ii) use of the auxiliary su(2)-algebra presented by the present authors. The form obtained under points (i) and (ii) is simple.