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

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

1993-04-30

arxiv.org/abs/hep-th/9304158v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages (Plain TeX with one PostScript figure appended at end), MIT CTP #2202

Scientific paper

10.1103/PhysRevB.48.9508

We consider the one-dimensional random field Ising model, where the spin-spin coupling, $J$, is ferromagnetic and the external field is chosen to be $+h$ with probability $p$ and $-h$ with probability $1-p$. At zero temperature, we calculate an exact expression for the correlation length of the quenched average of the correlation function $\langle s_0 s_n \rangle - \langle s_0 \rangle \langle s_n \rangle$ in the case that $2J/h$ is not an integer. The result is a discontinuous function of $2J/h$. When $p = {1 \over 2}$, we also place a bound on the correlation length of the quenched average of the correlation function $\langle s_0 s_n \rangle$.

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