Bodyfelt JDNg GKottos T22/12/20062006PHYSICAL REVIEW LETTERS, 2006, 97 (25)0031-9007https://hdl.handle.net/10179/7481Using a Wigner Lorentzian random matrix ensemble, we study the fidelity, F(t), of systems at the Anderson metal-insulator transition, subject to small perturbations that preserve the criticality. We find that there are three decay regimes as perturbation strength increases: the first two are associated with a Gaussian and an exponential decay, respectively, and can be described using linear response theory. For stronger perturbations F(t) decays algebraically as F(t)∼t-D2μ, where D2μ is the correlation dimension of the local density of statesJournal article10.1103/PhysRevLett.97.2564041978391079-7114Massey_Dark01 Mathematical Sciences02 Physical Sciences09 Engineering