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

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Article number045002
<mark>Journal publication date</mark>1/02/2008
<mark>Journal</mark>Journal of Physics A: Mathematical and Theoretical
Issue number4
Number of pages7
Pages (from-to)-
<mark>Original language</mark>English


We present a calculation of the one-particle equal time correlation function.(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 --> infinity and then the limit T --> 0. Using the determinant representation for.(x), we derive analytical expressions for both large and small x at an arbitrary filling factor 0 < rho < 1/ 2. The large x asymptotics of rho(x) is found to be remarkably accurate starting from x sin(2 pi rho) similar to 1. We find that the one-particle momentum distribution function rho(k) is a smooth function of k, and. rho'(k) is peaked at k = 2k(F) in contrast to spin-coherent liquid obeying the Luttinger theorem.