Critical behaviour of structure factors at a quantum phase transition

Abstract

We review the theoretical behaviour of the total and one-particlestructure factors at a quantum phase transition for temperatureT = 0. The predictions are compared with exact or numerical results for the transverse Isingmodel, the alternating Heisenberg chain, and the bilayer Heisenberg model. At the criticalwavevector, the results are generally in accord with theoretical expectations. Away fromthe critical wavevector, however, different models display quite different behaviours for theone-particle residues and structure factors.