research

Correlation functions of the One-Dimensional Random Field Ising Model at Zero Temperature

Abstract

We consider the one-dimensional random field Ising model, where the spin-spin coupling, JJ, is ferromagnetic and the external field is chosen to be +h+h with probability pp and βˆ’h-h with probability 1βˆ’p1-p. At zero temperature, we calculate an exact expression for the correlation length of the quenched average of the correlation function ⟨s0snβŸ©βˆ’βŸ¨s0⟩⟨sn⟩\langle s_0 s_n \rangle - \langle s_0 \rangle \langle s_n \rangle in the case that 2J/h2J/h is not an integer. The result is a discontinuous function of 2J/h2J/h. When p=12p = {1 \over 2}, we also place a bound on the correlation length of the quenched average of the correlation function ⟨s0sn⟩\langle s_0 s_n \rangle.Comment: 12 pages (Plain TeX with one PostScript figure appended at end), MIT CTP #220

    Similar works

    Full text

    thumbnail-image

    Available Versions

    Last time updated on 01/04/2019