One-particle irreducible density matrix for the spin disordered infinite U Hubbard chain

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In this Letter we present a calculation of the one-particle irreducible density matrix ρ(x) for the one-dimensional (1D) Hubbard model in the infinite U limit. We consider the zero temperature spin disordered 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<<1/2. The large x asymptotics of ρ(x) is found to be remarkably accurate starting from x(2π) 1. We find that the one-particle momentum distribution function ρ(k) is a smooth function of k peaked at k=2kF, thus violating the Luttinger theorem.