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Multifractal orthogonality catastrophe in one-dimensional random quantum critical points

Multifractal orthogonality catastrophe in one-dimensional random quantum critical points

We study the response of random singlet quantum critical points to local perturbations. Despite being insulating, these systems are dramatically affected by a local cut in the system, so that the overlap $G=\left|\langle \Psi_B |\Psi_A \rangle\right|$ of the groundstate wave functions with and without a cut vanishes algebraically in the …