One-particle equal time correlation function for the spin-incoherent infinite U Hubbard chain

Abstract

We present a calculation of the one-particle equal time correlation function ρ(x) for the one-dimensional (1D) Hubbard model in the infinite U limit. We consider the zero temperature spin incoherent regime, which is obtained by first taking the limit U → ∞ and then the limit T → 0. Using the determinant representation for ρ(x), we derive analytical expressions for both large and small x at an arbitrary filling factor 0 < ϱ < 1/2. The large x asymptotics of ρ(x) is found to be remarkably accurate starting from xsin(2πϱ) ∼ 1. We find that the one-particle momentum distribution function ρ(k) is a smooth function of k, and ρ′(k) is peaked at k = 2kF in contrast to spin-coherent liquid obeying the Luttinger theorem.