Dynamical correlations of the spin and the energy density are investigated in the critical region of the random transverse-field Ising chain by numerically exact calculations in large finite systems (L ≤ 128). The spin-spin autocorrelation function is found to decay proportionally to (log t)-2xm and (log t)-2xsm in the bulk and on the surface, respectively, with xm and xsm the bulk and surface magnetization exponents, respectively. On the other hand, the critical energy-energy autocorrelation functions have a power law decay, which are characterized by novel critical exponents ηe ≈ 2.2 in the bulk and ηse ≈ 2.5 at the surface, respectively. The numerical results are compared with the predictions of a scaling theory.
ASJC Scopus subject areas
- Physics and Astronomy(all)