Two Scenarios for Quantum Multifractality Breakdown

Remy Dubertrand, Ignacio Garcia-Mata, Bertrand Georgeot, Olivier Giraud, G. Lemarie, J. Martin

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Abstract

We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations. In the other one, the fluctuations of the wave functions are changed at every scale and each multifractal dimension smoothly goes to the ergodic value. We use as generic examples a one-dimensional dynamical system and the three-dimensional Anderson model at the metal-insulator transition. Based on our results, we conjecture that the sensitivity of quantum multifractality to perturbation is universal in the sense that it follows one of these two scenarios depending on the perturbation. We also discuss the experimental implications.
Original languageEnglish
Article number234101
JournalPhysical Review Letters
Volume112
Issue number23
DOIs
Publication statusPublished - 10 Jun 2014
Externally publishedYes

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