12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > One-particle equal time correlation function fo...
View graph of relations

Text available via DOI:

« Back

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

Research output: Contribution to journalJournal article

Published

???articleNumber???045002
Journal publication date1/02/2008
JournalJournal of Physics A: Mathematical and Theoretical
Journal number4
Volume41
Number of pages7
Pages-
Original languageEnglish

Abstract

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.