title: Computation of static Heisenberg-chain correlators: control over length and temperature dependence.
abstract: We communicate results on correlation functions for the spin-1/2 Heisenberg chain in two particularly important cases: (a) for the infinite chain at arbitrary finite temperature T, and (b) for finite chains of arbitrary length L in the ground state. In both cases we present explicit formulas expressing the short-range correlators in a range of up to seven lattice sites in terms of a single function ω encoding the dependence of the correlators on T (L). These formulas allow us to obtain accurate numerical values for the correlators and derived quantities like the entanglement entropy. By calculating the low T (large L) asymptotics of ω we show that the asymptotics of the static correlation functions at any finite distance are T(2) (1/L(2)) terms. We obtain exact and explicit formulas for the coefficients for up to eight sites.
authors.affiliation: Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, Tokyo 112-8610, Japan.
authors.forename: Jun
authors.initials: J
authors.lastname: Sato
authors.forename: Britta
authors.initials: B
authors.lastname: Aufgebauer
authors.forename: Herman
authors.initials: H
authors.lastname: Boos
authors.forename: Frank
authors.initials: F
authors.lastname: Göhmann
authors.forename: Andreas
authors.initials: A
authors.lastname: Klümper
authors.forename: Minoru
authors.initials: M
authors.lastname: Takahashi
authors.forename: Christian
authors.initials: C
authors.lastname: Trippe